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Equivariant cohomology in algebraic geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Equivariant cohomology in algebraic geometry // David Anderson, William Fulton.
作者:	Anderson, David E.
其他作者:	Fulton, William,
面頁冊數:	1 online resource (xv, 446 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 11 Oct 2023).
標題:	Homology theory. -
電子資源:	https://doi.org/10.1017/9781009349994
ISBN:	9781009349994 (ebook)

Equivariant cohomology in algebraic geometry /
Anderson, David E.(Professor of Mathematics),

Equivariant cohomology in algebraic geometry /David Anderson, William Fulton. - 1 online resource (xv, 446 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;210. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 11 Oct 2023).

Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics. This text introduces the main ideas of the subject for first- or second-year graduate students in mathematics, as well as researchers working in algebraic geometry or combinatorics. The first six chapters cover the basics: definitions via finite-dimensional approximation spaces, computations in projective space, and the localization theorem. The rest of the text focuses on examples - toric varieties, Grassmannians, and homogeneous spaces - along with applications to Schubert calculus and degeneracy loci. Prerequisites are kept to a minimum, so that one-semester graduate-level courses in algebraic geometry and topology should be sufficient preparation. Featuring numerous exercises, examples, and material that has not previously appeared in textbook form, this book will be a must-have reference and resource for both students and researchers for years to come.

ISBN: 9781009349994 (ebook)Subjects--Topical Terms:

682984
Homology theory.

LC Class. No.: QA564 / .A64 2024

Dewey Class. No.: 516.35

Equivariant cohomology in algebraic geometry /
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500 $a Title from publisher's bibliographic system (viewed on 11 Oct 2023).
520 $a Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics. This text introduces the main ideas of the subject for first- or second-year graduate students in mathematics, as well as researchers working in algebraic geometry or combinatorics. The first six chapters cover the basics: definitions via finite-dimensional approximation spaces, computations in projective space, and the localization theorem. The rest of the text focuses on examples - toric varieties, Grassmannians, and homogeneous spaces - along with applications to Schubert calculus and degeneracy loci. Prerequisites are kept to a minimum, so that one-semester graduate-level courses in algebraic geometry and topology should be sufficient preparation. Featuring numerous exercises, examples, and material that has not previously appeared in textbook form, this book will be a must-have reference and resource for both students and researchers for years to come.
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