Frobenius splitting of Hilbert schemes of points on surfaces
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9911181,
title = {Frobenius splitting of Hilbert schemes of points on surfaces},
author = {Shrawan Kumar and Jesper Funch Thomsen},
journal= {arXiv preprint arXiv:math/9911181},
year = {2007}
}
Comments
Latex, 12 pages