Moduli spaces of slope-semistable pure sheaves

Autor: Pavel, Mihai
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We construct a moduli space of slope-semistable pure sheaves, building upon previous work of Le Potier and Jun Li on torsion-free sheaves over smooth surfaces. In particular, our construction provides a compactification of the Simpson moduli space of slope-stable reflexive sheaves. We also prove an effective restriction theorem for slope-(semi)stable pure sheaves following an approach due to Langer.
Comment: 31 pages, minor corrections, additional new results in Section 5, modified the introduction
Databáze: arXiv