OBSTRUCTED BUNDLES OF RANK TWO ON A QUINTIC SURFACE-Reference-Cited by-同舟云学术

OBSTRUCTED BUNDLES OF RANK TWO ON A QUINTIC SURFACE

Published:2011-06 Issue:06 Volume:22 Page:789-836
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

MESTRANO NICOLE¹,SIMPSON CARLOS¹

Affiliation:

1. CNRS, Laboratoire J. A. Dieudonné, UMR 6621, Université de Nice-Sophia Antipolis, 06108 Nice, Cedex 2, France

Abstract

In this note we consider the moduli space of stable bundles of rank two on a very general quintic surface. We study the potentially obstructed points of the moduli space via the spectral covering of a twisted endomorphism. This analysis leads to generically non-reduced components of the moduli space, and components which are generically smooth of more than the expected dimension. We obtain a sharp bound asked for by O'Grady on when the moduli space is good.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007045

Reference38 articles.

1. Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant

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