Read Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics)

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics)

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Description: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 Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered.Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles.Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading, whose key prerequisites are general courses on algebraic geometry and differential geometry.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics). To get started finding Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3030678288

Description: 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 Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered.Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles.Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading, whose key prerequisites are general courses on algebraic geometry and differential geometry.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics). To get started finding Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics)

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics)

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