Intersection Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Intersection Theory write by W. Fulton. This book was released on 2013-06-29. Intersection Theory available in PDF, EPUB and Kindle. 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.
3264 and All That
3264 and All That - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 3264 and All That write by David Eisenbud. This book was released on 2016-04-14. 3264 and All That available in PDF, EPUB and Kindle. 3264, the mathematical solution to a question concerning geometric figures.
Intersection Theory
Intersection Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Intersection Theory write by William Fulton. This book was released on 2012-12-06. Intersection Theory available in PDF, EPUB and Kindle. 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.
Introduction to Intersection Theory in Algebraic Geometry
Introduction to Intersection Theory in Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Intersection Theory in Algebraic Geometry write by William Fulton. This book was released on 1984. Introduction to Intersection Theory in Algebraic Geometry available in PDF, EPUB and Kindle. 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.
Lagrangian Intersection Floer Theory
Lagrangian Intersection Floer Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lagrangian Intersection Floer Theory write by Kenji Fukaya. This book was released on 2010-06-21. Lagrangian Intersection Floer Theory available in PDF, EPUB and Kindle. This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.
