Target

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-narasim...

Description: Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-narasimhan Filtration, Paperback by Saiz, Alfonso Zamora; Zuniga-rojas, Ronald, ISBN 3030678288, ISBN-13 9783030678289, Like New Used, Free P&P in the UK 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.

Price: 38.52 GBP

Location: Castle Donington

End Time: 2024-12-04T04:35:51.000Z

Shipping Cost: 19.43 GBP

Product Images

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-narasim...

Item Specifics

Return postage will be paid by: Buyer

Returns Accepted: Returns Accepted

After receiving the item, your buyer should cancel the purchase within: 30 days

Book Title: Geometric Invariant Theory, Holomorphic Vector Bundles and the Ha

Number of Pages: 127 Pages

Language: English

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

Publisher: Springer Nature Switzerland A&G

Publication Year: 2021

Subject: Mathematics, Physics

Item Height: 235 mm

Item Weight: 232 g

Type: Textbook

Author: Ronald A. Zuniga-Rojas, Alfonso Zamora Saiz

Series: Springerbriefs in Mathematics

Item Width: 155 mm

Format: Paperback

Recommended

GROUPS AND GEOMETRIC ANALYSIS : INTEGRAL GEOMETRY, By Author Unknown - Hardcover
GROUPS AND GEOMETRIC ANALYSIS : INTEGRAL GEOMETRY, By Author Unknown - Hardcover

$106.95

View Details
Crabb - Geometric Hopf Invariant and Surgery Theory - New hardback or  - T555z
Crabb - Geometric Hopf Invariant and Surgery Theory - New hardback or - T555z

$186.05

View Details
Geometrical Vectors by Gabriel Weinreich (English) Paperback Book
Geometrical Vectors by Gabriel Weinreich (English) Paperback Book

$43.89

View Details
Geometric Invariant Theory by David Mumford: New
Geometric Invariant Theory by David Mumford: New

$220.54

View Details
The Geometric Hopf Invariant and Surgery Theory by Michael Crabb (English) Paper
The Geometric Hopf Invariant and Surgery Theory by Michael Crabb (English) Paper

$174.31

View Details
Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-narasim...
Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-narasim...

$82.96

View Details
Geometric Invariant Theory by Frances Kirwan (English) Hardcover Book
Geometric Invariant Theory by Frances Kirwan (English) Hardcover Book

$249.96

View Details
Geometric Invariant Theory for Polarized Curves, Paperback by Bini, Gilberto;...
Geometric Invariant Theory for Polarized Curves, Paperback by Bini, Gilberto;...

$57.54

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

$82.97

View Details
The Geometric Hopf Invariant and Surgery Theory by Michael Crabb: New
The Geometric Hopf Invariant and Surgery Theory by Michael Crabb: New

$177.33

View Details