Alladi Ramakrishnan Hall

Stratified bundles on Hilbert schemes of n points on a surface

Saurav Holme Choudhury

IMSc

Stratified bundles are analogues of flat vector bundles in positive characteristic geometry. The Hilbert scheme of n points on a surface $S$ is a resolution of the moduli spaces of unordered n-tuples on $S$. We show that all stratified bundles on the Hilbert scheme arise in a natural way from stratified bundles on $S$. All relevant definitions and results will be recalled.