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3264 and all that : = a second course in algebraic geometry /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	3264 and all that :/ David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts.
Reminder of title:	a second course in algebraic geometry /
remainder title:	3264 & All That
Author:	Eisenbud, David,
other author:	Harris, Joe,
Description:	1 online resource (xiv, 616 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 08 Mar 2016).
Subject:	Geometry, Algebraic - Congresses. -
Online resource:	https://doi.org/10.1017/CBO9781139062046
ISBN:	9781139062046 (ebook)

3264 and all that : = a second course in algebraic geometry /
Eisenbud, David,

3264 and all that :a second course in algebraic geometry /3264 & All ThatDavid Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts. - 1 online resource (xiv, 616 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 08 Mar 2016).

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 Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

ISBN: 9781139062046 (ebook)Subjects--Topical Terms:

665372
Geometry, Algebraic
--Congresses.

LC Class. No.: QA564 / .E354 2016

Dewey Class. No.: 516.3/5

3264 and all that : = a second course in algebraic geometry /
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500 $a Title from publisher's bibliographic system (viewed on 08 Mar 2016).
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 Poincaré'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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