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

Yao Yuan

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Source: Crossref

Published: Feb 21, 2018

DOI: 10.1142/s0219199717500195

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Source 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.

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Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces — Mathematical Frontier Network