Desingularization of some moduli scheme of stable sheaves on a surface
| dc.creator | Yamada, Kimiko | |
| dc.date | 2008-09-18 | |
| dc.date.accessioned | 2026-07-07T10:03:42Z | |
| dc.date.available | 2026-07-07T10:03:42Z | |
| dc.description | 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 $(c_1,c_2)$. Suppose the moduli scheme $M(H_-)$ of rank-two $H_-$-stable sheaves with Chern classes $(c_1,c_2)$ 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. | |
| dc.identifier | https://arxiv.org/abs/0809.3068 | |
| dc.identifier | http://arxiv.org/abs/0809.3068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169386 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (Primary) 14B05, 14D20 (Secondary) | |
| dc.title | Desingularization of some moduli scheme of stable sheaves on a surface | |
| dc.type | text |