Donaldson Type Invariants for Algebraic Surfaces Transition of Moduli Stacks /

• Κύριος συγγραφέας: Mochizuki, Takuro (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1972
• Θέματα: Mathematics.; Algebraic geometry.; Algebraic Geometry.

We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing for...

Πίνακας περιεχομένων:

• Preliminaries
• Parabolic L-Bradlow Pairs
• Geometric Invariant Theory and Enhanced Master Space
• Obstruction Theories of Moduli Stacks and Master Spaces
• Virtual Fundamental Classes
• Invariants.