Geometric Invariant Theory : Over the Real and Complex Numbers
Material type: TextLanguage: English Publication details: Cham Springer 2017Description: xiv, 190pISBN: 9783319659053 (PB)Subject(s): Algebraic Geometry | Invariants | Group theory | MathematicsCurrent library | Home library | Call number | Materials specified | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 512 WAL (Browse shelf (Opens below)) | Available | 78067 |
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Includes References (186-187) and Index
1. Algebraic Geometry
2. Lie Groups and Algebraic Groups
4. Weight Theory in Geometric Invariant Theory
5. Classical and Geometric Invariant Theory for Products of Classical Groups
Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader’s understanding of the material; most are enhanced with hints. The exposition is divided into two parts. The first part, ‘Background Theory’, is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature.
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