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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

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This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to HitchinÂ’s theory on Higgs bundles.

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This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to HitchinÂ’s theory on Higgs bundles.

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Book Format

Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Softcover]
9783030678289
Publisher
Springer
Year
2021
Pages
XIII, 127 p.
Series Title
SpringerBriefs in Mathematics
Language
English
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