Desingularization of some moduli scheme of stable sheaves on a surface
Abstract
Let X be a nonsingular projective surface over an algebraically closed field with characteristic zero, and H- and H+ ample line bundles on X separated by only one wall of type (c1,c2). Suppose the moduli scheme M(H-) of rank-two H--stable sheaves with Chern classes (c1,c2) is non-singular. We shall construct a desingularization of M(H+) by using M(H-). As an application, we consider whether singularities of M(H+) are terminal or not when X is ruled or elliptic.
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