A sequence of blowing-ups connecting moduli of sheaves and the Donaldson polynomial under change of polarization
| 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 nonsingular projective surface $X$, and $M(H)$ (resp. $M(H')$) the coarse moduli scheme of $H$-semistable (resp. $H'$-semistable) sheaves of fixed type $(r=2,c_1,c_2)$. In a moduli-theoretic way that comes from elementary transforms, we connect $M(H)$ and $M(H')$ by a sequence of blowing-ups when walls separating $H$ and $H'$ are not necessarily good. As an application, we also consider the polarization change problem of Donaldson polynomials. | |
| dc.description | This article has been published, while Introduction is revised | |
| dc.identifier | https://arxiv.org/abs/0704.2866 | |
| dc.identifier | http://arxiv.org/abs/0704.2866 | |
| dc.identifier | J. Math. Kyoto Univ. 43 (2003) no.4, 829-878 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127772 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60; 14D20, 14J27, 14J29, 14J80 | |
| dc.title | A sequence of blowing-ups connecting moduli of sheaves and the Donaldson polynomial under change of polarization | |
| dc.type | text |