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Equivariant cohomology in algebraic geometry

紀錄類型:	書目-電子資源 : 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,
出版者:	Cambridge :Cambridge University Press, : 2024.,
面頁冊數:	xv, 446 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 11 Oct 2023).
標題:	Geometry, Algebraic. -
電子資源:	https://doi.org/10.1017/9781009349994
ISBN:	9781009349994

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

Equivariant cohomology in algebraic geometry[electronic resource] /David Anderson, William Fulton. - Cambridge :Cambridge University Press,2024. - xv, 446 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;210. - Cambridge studies in advanced mathematics ;210..

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: 9781009349994Subjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA564 / .A64 2024

Dewey Class. No.: 516.35

Equivariant cohomology in algebraic geometry
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490 1 $a Cambridge studies in advanced mathematics ; $v 210
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.
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Homology theory. $3 555733
700 1 $a Fulton, William, $d 1939- $3 699693
830 0 $a Cambridge studies in advanced mathematics ; $v 210. $3 3729324
856 4 0 $u https://doi.org/10.1017/9781009349994