Blowing-ups describing the polarization change of moduli schemes of semistable sheaves of general rank
| dc.creator | Yamada, Kimiko | |
| dc.date | 2007-04-22 | |
| dc.date.accessioned | 2026-07-07T07:57:47Z | |
| dc.date.available | 2026-07-07T07:57:47Z | |
| dc.description | Let $H$ and $H'$ be two ample line bundles over a smooth projective surface $X$, and $M(H)$ (resp. $M(H')$) the coarse moduli scheme of $H$-semistable (resp. $H'$-semistable) sheaves of fixed type $(r,c_1,c_2)$. We construct a sequence of blowing-ups which describes how $M(H)$ differs from $M(H')$ not only when $r=2$ but also when $r$ is arbitrary. Means we here utilize are elementary transforms and the notion of a sheaf with flag. | |
| dc.identifier | https://arxiv.org/abs/0704.2870 | |
| dc.identifier | http://arxiv.org/abs/0704.2870 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127774 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60, 14D20 | |
| dc.title | Blowing-ups describing the polarization change of moduli schemes of semistable sheaves of general rank | |
| dc.type | text |