Nonabelian Jacobian of Projective Surfaces Geometry and Representation Theory /

• Κύριος συγγραφέας: Reider, Igor (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Lecture Notes in Mathematics, 2072
• Θέματα: Mathematics.; Algebraic geometry.; Matrix theory.; Algebra.; Algebraic Geometry.; Linear and Multilinear Algebras, Matrix Theory.

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...

Πίνακας περιεχομένων:

• 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.