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Book Isolated Singular Points on Complete Intersections

Download or read book Isolated Singular Points on Complete Intersections written by Eduard Looijenga and published by Cambridge University Press. This book was released on 1984-03 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.

Book Projective Modules and Complete Intersections

Download or read book Projective Modules and Complete Intersections written by Satya Mandal and published by Springer. This book was released on 2006-11-14 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions." These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.

Book Riemann Roch Algebra

    Book Details:
  • Author : William Fulton
  • Publisher : Springer Science & Business Media
  • Release : 2013-03-14
  • ISBN : 1475718586
  • Pages : 215 pages

Download or read book Riemann Roch Algebra written by William Fulton and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A(X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) --p;-+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises.

Book Explicit Birational Geometry of 3 folds

Download or read book Explicit Birational Geometry of 3 folds written by Alessio Corti and published by Cambridge University Press. This book was released on 2000-07-27 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Book Complete Intersections

Download or read book Complete Intersections written by S. Greco and published by Springer. This book was released on 2006-12-08 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Higher Multiplicities and Almost Free Divisors and Complete Intersections

Download or read book Higher Multiplicities and Almost Free Divisors and Complete Intersections written by James Damon and published by American Mathematical Soc.. This book was released on 1996 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.

Book The Monodromy Groups of Isolated Singularities of Complete Intersections

Download or read book The Monodromy Groups of Isolated Singularities of Complete Intersections written by Wolfgang Ebeling and published by Springer. This book was released on 2006-11-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Representation Theory of Geigle Lenzing Complete Intersections

Download or read book Representation Theory of Geigle Lenzing Complete Intersections written by Martin Herschend and published by American Mathematical Society. This book was released on 2023-05-23 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Book Topological Field Theory  Primitive Forms and Related Topics

Download or read book Topological Field Theory Primitive Forms and Related Topics written by A. Kashiwara and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures. The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.

Book 3264 and All That

    Book Details:
  • Author : David Eisenbud
  • Publisher : Cambridge University Press
  • Release : 2016-04-14
  • ISBN : 1107017084
  • Pages : 633 pages

Download or read book 3264 and All That written by David Eisenbud and published by Cambridge University Press. This book was released on 2016-04-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3264, the mathematical solution to a question concerning geometric figures.

Book Minimal Free Resolutions over Complete Intersections

Download or read book Minimal Free Resolutions over Complete Intersections written by David Eisenbud and published by Springer. This book was released on 2016-03-08 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.

Book Proceedings of the International Conference on Algebra Dedicated to the Memory of A  I  Mal   cev

Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A I Mal cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Singularities and Topology of Hypersurfaces

Download or read book Singularities and Topology of Hypersurfaces written by Alexandru Dimca and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Emerging Intersections

Download or read book Emerging Intersections written by Bonnie Thornton Dill and published by Rutgers University Press. This book was released on 2009-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The United States is known as a "melting pot" yet this mix tends to be volatile and contributes to a long history of oppression, racism, and bigotry. Emerging Intersections, an anthology of ten previously unpublished essays, looks at the problems of inequality and oppression from new angles and promotes intersectionality as an interpretive tool that can be utilized to better understand the ways in which race, class, gender, ethnicity, and other dimensions of difference shape our lives today. The book showcases innovative contributions that expand our understanding of how inequality affects people of color, demonstrates the ways public policies reinforce existing systems of inequality, and shows how research and teaching using an intersectional perspective compels scholars to become agents of change within institutions. By offering practical applications for using intersectional knowledge, Emerging Intersections will help bring us one step closer to achieving positive institutional change and social justice.

Book Topology and Geometry of Intersections of Ellipsoids in R n

Download or read book Topology and Geometry of Intersections of Ellipsoids in R n written by Santiago López de Medrano and published by Springer Nature. This book was released on 2023-05-24 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results. The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, and other applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.

Book Optimal Traffic Control

Download or read book Optimal Traffic Control written by Slobodan Guberinic and published by CRC Press. This book was released on 2007-11-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite traffic circles, four-way stop signs, lights regulated by timers or sensors, and other methods, the management of urban intersections remains problematic. Consider that transportation systems have all the features of so-called complex systems: the great number of state and control variables, the presence of uncertainty and indeterminism, th

Book Canadian Mathematical Bulletin

Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1991-12 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: