Download or read book On the Enumeration of Plane Curves with Two Singular Points written by Dmitry Kerner and published by . This book was released on 2007 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singular Points of Plane Curves written by C. T. C. Wall and published by Cambridge University Press. This book was released on 2004-11-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book The Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1925 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Celebration of Algebraic Geometry written by Brendan Hassett and published by American Mathematical Soc.. This book was released on 2013-09-11 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Download or read book Singular Algebraic Curves written by Gert-Martin Greuel and published by Springer. This book was released on 2018-12-30 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.
Download or read book A Treatise on the Higher Plane Curves written by George Salmon and published by . This book was released on 1879 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singular Points of Plane Curves written by and published by . This book was released on 2004 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.
Download or read book A Treatise on the Higher Plane Curves written by George Salmon and published by BoD – Books on Demand. This book was released on 2023-10-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1873.
Download or read book Plane Curves of the Eighth Order written by Elizabeth Buchanan Cowley and published by . This book was released on 1908 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Reciprocation of Certain Plane Curves written by Mildred Hahmann Turner and published by . This book was released on 1919 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A treatise on the higher plane curves intended as a sequel to written by George Salmon and published by . This book was released on 1873 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singular Points of Plane Curves written by C. T. C. Wall and published by Cambridge University Press. This book was released on 2004-11-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.
Download or read book Algebraic Curves written by Maxim E. Kazaryan and published by Springer. This book was released on 2019-01-21 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well. The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces. The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework
Download or read book On the General Classification of Plane Quartic Curves written by Warren Gardner Bullard and published by . This book was released on 1899 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1919 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Geometry written by Henry Frederick Baker and published by CUP Archive. This book was released on 1922 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Henry Frederick Baker (1866-1956) was a renowned British mathematician specialising in algebraic geometry. He was elected a Fellow of the Royal Society in 1898 and appointed the Lowndean Professor of Astronomy and Geometry in the University of Cambridge in 1914. First published between 1922 and 1925, the six-volume Principles of Geometry was a synthesis of Baker's lecture series on geometry and was the first British work on geometry to use axiomatic methods without the use of co-ordinates. The first four volumes describe the projective geometry of space of between two and five dimensions, with the last two volumes reflecting Baker's later research interests in the birational theory of surfaces. The work as a whole provides a detailed insight into the geometry which was developing at the time of publication. This, the second volume, describes the principal configurations of space of two dimensions.
Download or read book The Encyclopaedia Britannica written by and published by . This book was released on 1910 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
