Finiteness of isomorphic classes in the set of moduli schemes of sheaves on a surface

Kimiko Yamada

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arXiv · 1001.2629

Finiteness of isomorphic classes in the set of moduli schemes of sheaves on a surface

Kimiko Yamada

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Abstract

When a non-singular complex projective surface $X$ satisfies that $K_X\sim 0$, we shall show that there are only finitely many isomorphic classes as abstract schemes in the set of moduli scheme of $H$-semistable sheaves with fixed Chern classes $α$ on $X$, where $H$ runs over the set of all $α$-generic polarizations on $X$.

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BibTeX RIS

Kimiko Yamada. 2010-01-15. Finiteness of isomorphic classes in the set of moduli schemes of sheaves on a surface. https://arxiv.org/abs/1001.2629

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