Flips and variation of moduli schemes of sheaves on a surface
| dc.creator | Yamada, Kimiko | |
| dc.date | 2008-11-21 | |
| dc.date | 2008-12-20 | |
| dc.date.accessioned | 2026-07-07T12:20:37Z | |
| dc.date.available | 2026-07-07T12:20:37Z | |
| dc.description | Let $H$ be an ample line bundle on a non-singular projective surface $X$, and $M(H)$ the coarse moduli scheme of rank-two $H$-semistable sheaves with fixed Chern classes on $X$. We show that if $H$ changes and passes through walls to get closer to $K_X$, then $M(H)$ undergoes natural flips with respect to canonical divisors. When $X$ is minimal and its Kodaira dimension is positive, this sequence of flips terminates in $M(H_X)$; $H_X$ is an ample line bundle lying so closely to $K_X$ that the canonical divisor of $M(H_X)$ is nef. Remark that so-called Thaddeus-type flips somewhat differ from flips with respect to canonical divisors. | |
| dc.description | Revised; Observations of main theorem are extended to the case where the Kodaira dimension of the underlying surface is positive | |
| dc.identifier | https://arxiv.org/abs/0811.3522 | |
| dc.identifier | http://arxiv.org/abs/0811.3522 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213116 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60; 14E05, 14D20 | |
| dc.title | Flips and variation of moduli schemes of sheaves on a surface | |
| dc.type | text |