Equivariant Cohomology in Algebraic Geometry (häftad)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Serie
Cambridge Studies in Advanced Mathematics
Antal sidor
468
Utgivningsdatum
2023-10-26
Förlag
Cambridge University Press
Dimensioner
230 x 152 x 30 mm
Vikt
840 g
ISBN
9781009349987

Equivariant Cohomology in Algebraic Geometry

av David Anderson, William Fulton, David Anderson, William Fulton
Inbunden,  Engelska, 2023-10-26
623
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Finns även som
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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David Anderson, William Fulton, David Anderson, William Fulton

Övrig information

David Anderson is Associate Professor at The Ohio State University. He works in combinatorial algebraic geometry and has written over three dozen papers on topics including Schubert calculus, Newton-Okounkov bodies, and equivariant K-theory. In 2020, he received a CAREER Award from the National Science Foundation. William Fulton is Oscar Zariski Distinguished University Professor Emeritus at the University of Michigan. He is an algebraic geometer, and author or co-author of approximately five dozen papers and a dozen books, including 'Intersection Theory,' which won a Steele Prize from the American Mathematical Society. Fulton is a member of the National Academy of Sciences, and a foreign member of the Royal Swedish Academy of Sciences.

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