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Frobenius Splitting Methods in Geometry and Representation Theory

By: Brion, Michel [author.].
Contributor(s): Kumar, Shrawan [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Progress in Mathematics: 231Publisher: Boston, MA : Birkhäuser Boston, 2005.Description: X, 250 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780817644055.Subject(s): Mathematics | Algebraic geometry | Group theory | Mathematics | Algebraic Geometry | Group Theory and GeneralizationsDDC classification: 516.35 Online resources: Click here to access online
Contents:
Frobenius Splitting: General Theory -- Frobenius Splitting of Schubert Varieties -- Cohomology and Geometry of Schubert Varieties -- Canonical Splitting and Good Filtration -- Cotangent Bundles of Flag Varieties -- Equivariant Embeddings of Reductive Groups -- Hilbert Schemes of Points on Surfaces.
In: Springer eBooksSummary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK6321
Total holds: 0

Frobenius Splitting: General Theory -- Frobenius Splitting of Schubert Varieties -- Cohomology and Geometry of Schubert Varieties -- Canonical Splitting and Good Filtration -- Cotangent Bundles of Flag Varieties -- Equivariant Embeddings of Reductive Groups -- Hilbert Schemes of Points on Surfaces.

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.

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