Compactifying the space of stable maps-Reference-Cited by-同舟云学术

Compactifying the space of stable maps

Published:2001-07-31 Issue:1 Volume:15 Page:27-75
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Abramovich Dan,Vistoli Angelo

Abstract

In this paper we study a notion of twisted stable map, from a curve to a tame Deligne-Mumford stack, which generalizes the well-known notion of stable map to a projective variety.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2002-15-01/S0894-0347-01-00380-0/S0894-0347-01-00380-0.pdf

Reference32 articles.

1. [ℵ-C-V]A-C-V D. Abramovich, A. Corti and A. Vistoli, Twisted bundles and admissible covers, preprint, 2001, arXiv:math.AG/0106211.

2. [ℵ-G-V]A-G-V D. Abramovich, T. Graber and A. Vistoli, Algebraic orbifold quantum products, in preparation.

3. [ℵ-J]A-Jarvis D. Abramovich and T. Jarvis, Moduli of twisted spin curves, preprint, arXiv:math.AG/0104154.

4. Alterations and resolution of singularities;Abramovich, Dan,2000

5. [ℵ-V1]A-V:stable-maps D. Abramovich and A. Vistoli, Complete moduli for families over semistable curves, preprint, arXiv:math.AG/9811059.

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