Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces

Abstract

We study the moduli space of rank 0 semistable sheaves on some rational surfaces. We show the irreducibility and stable rationality of them under some conditions. We also compute several (virtual) Betti numbers of those moduli spaces by computing their motivic measures.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1503.06309