Download or read book The Grassmannian Variety written by V. Lakshmibai and published by Springer. This book was released on 2015-09-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen–Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry.
Download or read book On the Geometry of Some Special Projective Varieties written by Francesco Russo and published by Springer. This book was released on 2016-01-25 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne’s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds. The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.
Download or read book The Varieties of Consciousness written by Uriah Kriegel and published by Oxford University Press. This book was released on 2015-05-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent work on consciousness has featured a number of debates on the existence and character of controversial types of phenomenal experience. Perhaps the best-known is the debate over the existence of a sui generis, irreducible cognitive phenomenology, a phenomenology proper to thought. Another concerns the existence of a sui generis phenomenology of agency. Such debates bring up a more general question: how many types of sui generis, irreducible, basic, primitive phenomenology do we have to posit to just be able to describe the stream of consciousness? This book offers a first general attempt to answer this question in contemporary philosophy. It develops a unified framework for systematically addressing this question and applies it to six controversial types of phenomenal experience, namely, those associated with thought and judgment, will and agency, pure apprehension, emotion, moral thought and experience, and the experience of freedom.
Download or read book Flag Varieties written by V Lakshmibai and published by Springer. This book was released on 2018-06-26 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory. The book presents a discussion on the representation theory of complex semisimple Lie algebras, as well as the representation theory of semisimple algebraic groups. In addition, the book also discusses the representation theory of symmetric groups. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Many of the geometric results admit elegant combinatorial description because of the root system connections, a typical example being the description of the singular locus of a Schubert variety. This discussion is carried out as a consequence of standard monomial theory. Consequently, this book includes standard monomial theory and some important applications—singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. The two recent results on Schubert varieties in the Grassmannian have also been included in this book. The first result gives a free resolution of certain Schubert singularities. The second result is about certain Levi subgroup actions on Schubert varieties in the Grassmannian and derives some interesting geometric and representation-theoretic consequences.
Download or read book Classification of Higher Dimensional Algebraic Varieties written by Christopher D. Hacon and published by Springer Science & Business Media. This book was released on 2011-02-02 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.
Download or read book Hyperidentities and Clones written by Klaus Denecke and published by CRC Press. This book was released on 2000-08-08 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.
Download or read book Differential Forms on Singular Varieties written by Vincenzo Ancona and published by CRC Press. This book was released on 2005-08-24 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of hig
Download or read book Hodge Cycles Motives and Shimura Varieties written by Pierre Deligne and published by Springer Science & Business Media. This book was released on 1982 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects six related articles. The first is the notes (written by J.S. Milne) of a major part of the seminar "Periodes des Int grales Abeliennes" given by P. Deligne at I'.B.E.S., 1978-79. The second article was written for this volume (by P. Deligne and J.S. Milne) and is largely based on: N Saavedra Rivano, Categories tannakiennes, Lecture Notes in Math. 265, Springer, Heidelberg 1972. The third article is a slight expansion of part of: J.S. Milne and Kuang-yen Shih, Sh ura varieties: conjugates and the action of complex conjugation 154 pp. (Unpublished manuscript, October 1979). The fourth article is based on a letter from P. De1igne to R. Langlands, dated 10th April, 1979, and was revised and completed (by De1igne) in July, 1981. The fifth article is a slight revision of another section of the manuscript of Milne and Shih referred to above. The sixth article, by A. Ogus, dates from July, 1980.
Download or read book Harmonic Analysis the Trace Formula and Shimura Varieties written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2005 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Download or read book Commutator Theory for Congruence Modular Varieties written by Ralph Freese and published by CUP Archive. This book was released on 1987-08-20 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophical Manuscripts written by David Lewis and published by Oxford University Press. This book was released on 2023-09-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Lewis (1941-2001) was a celebrated and influential figure in analytic philosophy. When Lewis died, he left behind a large body of unpublished notes, manuscripts, and letters. This volume contains two longer manuscripts which Lewis had originally intended to turn into books, and thirty-one shorter items. The longer manuscripts are 'The Paradoxes of Time Travel', his David Gavin Young Lectures at the University of Adelaide, and 'Confirmation Theory', which is based on a graduate course on probability and logic that he gave at UCLA. Lewis's described his purposes in 'The Paradoxes of Time Travel' as being, `(1) to solve a philosophical problem hitherto largely ignored or casually mis-solved by philosophers [...]; (2) to introduce the layman to various topics in metaphysics, since our problem turns out to connect with many more familiar ones; and (3) to show of several of my favorite doctrines and methods in metaphysics'. By contrast, 'Confirmation Theory' is a technical work in which Lewis aimed to present in a unified fashion what he considered to be the best from competing theories of confirmation. Lewis described the work as 'Mathematically self-contained, with proofs for the major theorems; but the mathematics is kept down to hairy high-school algebra'. The thirty-one shorter items cover such topics as causation, freedom of the will, probability, counterparts, reference, logic, value, and divine evil. They are included here both for their intrinsic philosophical interest and their historical value. This volume also contains an intellectual biography of the young David Lewis by the editors.
Download or read book The Numismatist written by and published by . This book was released on 1912 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 24-52 include the proceedings of the A.N.A. convention. 1911-39.
Download or read book Linguistic Variables written by Hans-Heinrich Lieb and published by John Benjamins Publishing. This book was released on 1993-09-15 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book for the first time reconstructs in a single theoretical framework the more important approaches to linguistic variation found in areas as different as historical linguistics, dialectology, sociolinguistics, psycholinguistics, stylistics, contrastive linguistics, language typology, so-called evaluation grammar, and current Chomskyan generative grammar (generally with an emphasis on syntax). The book concentrates on language-internal variation but also analyses typological research and considers the question of how linguistic descriptions may account for variation both within and between languages. The book's first and primary aim is adequate conceptualization in the area of linguistic variation. Its second aim is a practical one: to contribute, from a theoretical point of view, to the vast descriptive effort that is demanded in linguistics in documenting endangered languages. Its third aim is, simply, orientation. Using a non-Labovian notion of linguistic variable, the author distinguishes a holistic and a component approach to linguistic variation. A precise version of the former is developed by formulating a theory of language varieties based on the concept of variety structure of a language; it is then shown how the proposals made by major representatives of the component approach can be integrated into this framework. The theory is extended to interlanguage variation and applied, in particular, to typology. It is further extended to establish the properties of linguistic descriptions that account for variation in a unified way.
Download or read book Annual Report of the Commissioner of Agriculture and Arts for the Province of Ontario for the Year written by Ontario. Commissioner of Agriculture and Arts and published by . This book was released on 1877 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Memoirs of the Geological Survey of Great Britain written by Geological Survey of Great Britain and published by . This book was released on 1928 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Panic written by Lauren Oliver and published by Harper Collins. This book was released on 2014-03-04 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: From New York Times bestselling author Lauren Oliver comes a captivating, thrilling novel of fear, friendship, courage, and hope that will leave readers gasping for air. Now a television series on Prime Video, starring Olivia Welch, Mike Faist, Jessica Sula, Enrique Murciano, Camron Jones, and Ray Nicholson! E. Lockhart, author of We Were Liars, calls Panic "a thrill a minute." Kirkus says: "Will have readers up until the wee hours," School Library Journal raves: "Fast-paced and captivating." Panic began as so many things do in Carp, a poor town of twelve thousand people in the middle of nowhere: because it was summer, and there was nothing else to do. Heather never thought she would compete in panic, a legendary game played by graduating seniors. She'd never thought of herself as fearless, the kind of person who would fight to stand out. But when she finds something, and someone, to fight for, she will discover that she is braver than she ever thought. Dodge has never been afraid of panic. His secret will fuel him, and get him all the way through the game; he's sure of it. But what he doesn't know is that he's not the only one with a secret. Everyone has something to play for. For Heather and Dodge, the game will bring new alliances, unexpected revelations, and the possibility of first love for each of them—and the knowledge that sometimes the very things we fear are those we need the most. Read the book that inspired the series, which the New York Times described as “Reminiscent of ‘The Hunger Games’ but grounded in the real world.”
Download or read book The Gardeners Chronicle written by and published by . This book was released on 1927 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
