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

الأصل · EN

When a non-singular complex projective surface X satisfies that Kₓ 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.