Log canonical models for the moduli space of curves: First divisorial contraction
| dc.creator | Hassett, Brendan | |
| dc.creator | Hyeon, Donghoon | |
| dc.date | 2006-07-19 | |
| dc.date.accessioned | 2026-07-07T07:20:43Z | |
| dc.date.available | 2026-07-07T07:20:43Z | |
| dc.description | In this paper, we initiate our investigation of log canonical models for the moduli space of curves with the boundary divisor $\a \d$ as we decrease $\a$ from 1 to 0. We prove that for the first critical value $\a = 9/11$, the log canonical model is isomorphic to the moduli space of pseudostable curves, which have nodes and cusps as singularities. We also show that $\a = 7/10$ is the next critical value, i.e., the log canonical model stays the same in the interval $(7/10, 9/11]$. In the appendix, we develop a theory of log canonical models of stacks that explains how these can be expressed in terms of the coarse moduli space. | |
| dc.description | 30 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0607477 | |
| dc.identifier | http://arxiv.org/abs/math/0607477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115045 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10, 14E30 | |
| dc.title | Log canonical models for the moduli space of curves: First divisorial contraction | |
| dc.type | text |