Equivariant cohomology in algebraic geometry:
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 m...
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
210 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009349994 https://doi.org/10.1017/9781009349994 https://doi.org/10.1017/9781009349994 https://doi.org/10.1017/9781009349994 https://doi.org/10.1017/9781009349994 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (xv, 446 Seiten) |
| ISBN: | 9781009349994 |
| DOI: | 10.1017/9781009349994 |
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| 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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| illustrated | Not Illustrated |
| indexdate | 2025-01-11T19:20:13Z |
| institution | BVB |
| isbn | 9781009349994 |
| language | English |
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| physical | 1 Online-Ressource (xv, 446 Seiten) |
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| publishDate | 2024 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Anderson, David L. 1953- Fulton, William 1939- Equivariant cohomology in algebraic geometry Cambridge studies in advanced mathematics Geometry, Algebraic Homology theory |
| title | Equivariant cohomology in algebraic geometry |
| title_auth | Equivariant cohomology in algebraic geometry |
| title_exact_search | Equivariant cohomology in algebraic geometry |
| title_full | Equivariant cohomology in algebraic geometry David Anderson, William Fulton |
| title_fullStr | Equivariant cohomology in algebraic geometry David Anderson, William Fulton |
| title_full_unstemmed | Equivariant cohomology in algebraic geometry David Anderson, William Fulton |
| title_short | Equivariant cohomology in algebraic geometry |
| title_sort | equivariant cohomology in algebraic geometry |
| topic | Geometry, Algebraic Homology theory |
| topic_facet | Geometry, Algebraic Homology theory |
| url | https://doi.org/10.1017/9781009349994 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT andersondavidl equivariantcohomologyinalgebraicgeometry AT fultonwilliam equivariantcohomologyinalgebraicgeometry |