LOG CANONICAL MODELS FOR THE MODULI SPACE OF CURVES: THE FIRST DIVISORIAL CONTRACTION
SCIE
SCOPUS
- Title
- LOG CANONICAL MODELS FOR THE MODULI SPACE OF CURVES: THE FIRST DIVISORIAL CONTRACTION
- Authors
- Hassett, B; Hyeon, D
- Date Issued
- 2009-08
- Publisher
- AMER MATHEMATICAL SOC
- Abstract
- In this paper, we initiate our investigation of log canonical models for ((M) over barg, alpha delta) as we decrease ce from 1 to 0. We prove that for the first critical value alpha = 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 alpha = 7/10 is the next critical value, i.e., the log canonical model stays the same in the interval (7/1.0, 9/11]. In the appendix, we develop a theory of log canonical models of stacks that explains how these call be expressed in terms of the coarse moduli space.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/12974
- DOI
- 10.1090/S0002-9947-09-04819-3
- ISSN
- 0002-9947
- Article Type
- Article
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 361, no. 8, page. 4471 - 4489, 2009-08
- Files in This Item:
-
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.