Moduli Spaces of Stably Irreducible Sheaves on Kodaira Surfaces

Autor:	Boulter, Eric
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables 32G13 32L05 14J42
Druh dokumentu:	Working Paper
Popis:	Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known how they fit into the classification of holomorphic symplectic manifolds by deformation type. This paper studies a natural Lagrangian fibration on these moduli spaces to determine that they are not K\"ahler or simply connected, ruling out most of the known deformation types of holomorphic symplectic manifolds. Comment: 32 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.00058 Zobrazit plný text záznamu View this record from Arxiv