Computations with moduli of perverse point sheaves
| dc.creator | Abramovich, Dan | |
| dc.creator | Chen, Jiun C. | |
| dc.date | 2003-04-23 | |
| dc.date | 2003-04-25 | |
| dc.date.accessioned | 2026-07-07T04:57:16Z | |
| dc.date.available | 2026-07-07T04:57:16Z | |
| dc.description | Given a birational modification $X \to Y$ of complex projective varieties with fiber dimension 1 and rational singularities, consider the main component of Bridgeland's moduli space $W \to Y$ of perverse point sheaves on $X/Y$. We give criteria for the normalization of $W$ to coincide with the transform (flip/flop) $X^+ \to Y$ of $X \to Y$. First, this holds if the exceptional loci of $X \to Y$ and $W \to Y$ have codimension $>1$. Second, if the ideal sheaf of $X \times_Y X^+$ is flat over $X^+$ then there is at least a morphism $X^+ \to W$. We illustrate the results using a number of examples, including surface modifications and standard Francia flips. | |
| dc.description | 10 pages, sum horrifik tipos correctid | |
| dc.identifier | https://arxiv.org/abs/math/0304353 | |
| dc.identifier | http://arxiv.org/abs/math/0304353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67208 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30 ; 14J60 | |
| dc.title | Computations with moduli of perverse point sheaves | |
| dc.type | text |