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3264 and all thata second course in ...

Eisenbud, David.

3264 and all thata second course in algebraic geometry /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	3264 and all thatDavid Eisenbud, Joe Harris.
其他題名:	a second course in algebraic geometry /
其他題名:	3264 & All That
作者:	Eisenbud, David.
其他作者:	Harris, Joe,
出版者:	Cambridge :Cambridge University Press,2016.
面頁冊數:	xiv, 616 p. :ill., digital ;24 cm.
標題:	Geometry, AlgebraicTextbooks.
電子資源:	https://doi.org/10.1017/CBO9781139062046
ISBN:	9781139062046$q(electronic bk.)

3264 and all thata second course in algebraic geometry /
Eisenbud, David.

3264 and all thata second course in algebraic geometry /[electronic resource] :3264 & All ThatDavid Eisenbud, Joe Harris. - Cambridge :Cambridge University Press,2016. - xiv, 616 p. :ill., digital ;24 cm.

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincare's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

ISBN: 9781139062046$q(electronic bk.)Subjects--Topical Terms:

438731
Geometry, Algebraic
--Textbooks.

LC Class. No.: QA564 / .E354 2016

Dewey Class. No.: 516.35

3264 and all thata second course in algebraic geometry /
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520 $a This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincare's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.
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