Frobenius splitting methods in geometry and representation theory /
The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unf...
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| Format: | Book |
| Language: | English |
| Published: |
Boston : Basel : Berlin :
Birkhäuser,
c2005
Boston : Birkhäuser, [2004], c2005 Boston : [2005], ©2005 Boston : c2005 Boston : c2005 Boston : ©2005 Boston : [2005] |
| Series: | Progress in mathematics (Boston, Mass.) ;
v. 231 Progress in mathematics (Boston, Mass.) v. 231 |
| Subjects: |
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| 100 | 1 | |a Brion, Michel, |d 1958- |0 http://viaf.org/viaf/118631749 | |
| 100 | 1 | |a Brion, Michel, |d 1958- |1 http://viaf.org/viaf/118631749 | |
| 100 | 1 | |a Brion, Michel, |d 1958- | |
| 245 | 1 | 0 | |a Frobenius splitting methods in geometry and representation theory / |c Michel Brion, Shrawan Kumar |
| 260 | |a Boston : |a Basel : |a Berlin : |b Birkhäuser, |c c2005 | ||
| 260 | |a Boston : |b Birkhäuser, |c [2004], c2005 | ||
| 260 | |a Boston : |b Birkhäuser, |c [2005], ©2005 | ||
| 260 | |a Boston : |b Birkhäuser, |c c2005 | ||
| 260 | |a Boston : |b Birkhäuser, |c c2005 | ||
| 260 | |a Boston : |b Birkhäuser, |c ©2005 | ||
| 264 | 1 | |a Boston : |b Birkhäuser, |c [2005] | |
| 264 | 4 | |c ©2005 | |
| 300 | |a viii, 250 p. ; |c 24 cm | ||
| 300 | |a viii, 250 pages : |b illustrations ; |c 24 cm | ||
| 300 | |a viii, 250 pages ; |c 24 cm | ||
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| 490 | 1 | |a Progress in mathematics (Boston, Mass.) ; |v v. 231 | |
| 490 | 1 | |a Progress in mathematics ; |v v. 231 | |
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes bibliographical references (p. [231]-246) and index | ||
| 504 | |a Includes bibliographical references (pages [231]-246) and index | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | 0 | |g 1 |t Frobenius splitting : general theory -- |g 2. |t Frobenius splitting of Schubert varieties -- |g 3. |t Cohomology and geometry of Schubert varieties -- |g 4. |t Canonical splitting and good filtration -- |g 5. |t Cotangent bundles of flag varieties -- |g 6. |t Equivariant embeddings of reductive groups -- |g 7. |t Hilbert schemes of points on surfaces. |
| 505 | 0 | 0 | |g 1 |t Frobenius splitting : general theory -- |g 2. |t Frobenius splitting of Schubert varieties -- |g 3. |t Cohomology and geometry of Schubert varieties -- |g 4. |t Canonical splitting and good filtration -- |g 5. |t Cotangent bundles of flag varieties -- |g 6. |t Equivariant embeddings of reductive groups -- |g 7. |t Hilbert schemes of points on surfaces. |
| 520 | |a The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings -- definitions, properties and examples -- to cutting edge research * Studies in detail the geometry of Schubert varieties, their syzygies, equivariant embeddings of reductive groups, Hilbert Schemes, canonical splittings, good filtrations, among other topics * Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory * Many examples, exercises, and open problems suggested throughout * Comprehensive bibliography and index This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups | ||
| 520 | 1 | |a "This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups."--BOOK JACKET | |
| 590 | |a *bes 20050928 | ||
| 596 | |a 4 | ||
| 650 | 0 | |a Algebraic varieties | |
| 650 | 0 | |a Frobenius algebras | |
| 650 | 0 | |a Representations of groups | |
| 650 | 6 | |a Frobenius, Algèbres de | |
| 650 | 6 | |a Représentations de groupes | |
| 650 | 6 | |a Variétés algébriques | |
| 650 | 7 | |a Algebraic varieties |2 fast | |
| 650 | 7 | |a Frobenius algebras |2 fast | |
| 650 | 7 | |a Representations of groups |2 fast | |
| 700 | 1 | |a Kumar, S |q (Shrawan), |d 1953- |0 http://viaf.org/viaf/85517752 | |
| 700 | 1 | |a Kumar, S |q (Shrawan), |d 1953- |1 http://viaf.org/viaf/85517752 | |
| 700 | 1 | |a Kumar, S |q (Shrawan), |d 1953- | |
| 776 | |w (OCoLC)191450472 | ||
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) ; |v v. 231 | |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) |v v. 231 | |
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