Frobenius splitting of Hilbert schemes of points on surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let X be a quasiprojective smooth surface defined over an algebraically closed field of positive characteristic. We show that if X is Frobenius split then so is the Hilbert scheme Hilb^n(X) of n points in X. In particular, we get the higher cohomology vanishing for ample line bundles on Hilb^n(X) when X is projective and Frobenius split.
Latex, 12 pages

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79465

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911181
 http://arxiv.org/abs/math/9911181

Collections

arXiv