Nonabelian Jacobian of Projective Surfaces Geometry and Representation Theory

Nonabelian Jacobian of Projective Surfaces Geometry and Representation Theory / by Igor Reider.

The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its cl...

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Bibliographic Details
Main Author: Reider, Igor (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Lecture Notes in Mathematics, 2072
Springer eBook Collection.
Subjects:
Algebraic geometry.
Matrix theory.
Algebra.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 2 Nonabelian Jacobian J(X; L; d): main properties
  • 3 Some properties of the filtration H
  • 4 The sheaf of Lie algebras G
  • 5 Period maps and Torelli problems
  • 6 sl2-structures on F
  • 7 sl2-structures on G
  • 8 Involution on G
  • 9 Stratification of T
  • 10 Configurations and theirs equations
  • 11 Representation theoretic constructions
  • 12 J(X; L; d) and the Langlands Duality.

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