Intersection Theory
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Intersection Theory
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Author : William Fulton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Intersection Theory written by William Fulton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.
Intersection Theory
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Author : W. Fulton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Intersection Theory written by W. Fulton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.
Introduction To Intersection Theory In Algebraic Geometry
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Author : William Fulton
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Introduction To Intersection Theory In Algebraic Geometry written by William Fulton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.
Recent Progress In Intersection Theory
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Author : Geir Ellingsrud
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Progress In Intersection Theory written by Geir Ellingsrud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E.M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the Bloch-Beilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and Gromov-Witten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no.
Recent Progress In Intersection Theory
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Author : Geir Ellingsrud
language : en
Publisher:
Release Date : 2000-01-01
Recent Progress In Intersection Theory written by Geir Ellingsrud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Intersection theory categories.
Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory
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Author : Chris Wendl
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-26
Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory written by Chris Wendl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-26 with Mathematics categories.
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
3264 And All That
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Author : David Eisenbud
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-14
3264 And All That written by David Eisenbud and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-14 with Mathematics categories.
3264, the mathematical solution to a question concerning geometric figures.
Joins And Intersections
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Author : H. Flenner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Joins And Intersections written by H. Flenner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.
Using Intersection Theory
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Author : Sebastiàn Xambó-Descamps
language : en
Publisher:
Release Date : 1996
Using Intersection Theory written by Sebastiàn Xambó-Descamps and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Intersection theory categories.
Implementing Intersection Theory
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Author : Ngoc Anh Pham
language : de
Publisher:
Release Date : 2013
Implementing Intersection Theory written by Ngoc Anh Pham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.