Frobenius splitting of Hilbert schemes of points on surfaces
Shrawan Kumar, Jesper Funch Thomsen
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 Hilbn(X) of n points in X. In particular, we get the higher cohomology vanishing for ample line bundles on Hilbn(X) when X is projective and Frobenius split.
Create a lesson
Related papers
Towards the Global Torelli Theorem
Daniil Serebrennikov
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza et al.
Proper moduli spaces of isolated non-normal singularities
Jiucheng Dai, Daniel Halpern-Leistner, Mingjun Sun et al.
Divisors in projective bundles over the projective line whose complement is affine space
Remy van Dobben de Bruyn
Numerical Godeaux Surfaces with many disjoint (-2)-curves and Applications
Yifan Chen, YongJoo Shin
Nash Loci
Luca Sodomaco, Julian Weigert