Very Twisted Stable Maps

Details Very Twisted Stable Maps Very Twisted Stable Maps

2008-10-31

arxiv.org/abs/0811.0035v2

Comm. Anal. Geom. 18 (2010) 831-855

Mathematics

Algebraic Geometry

18 pages. Corrected typos. To appear in Communications in Analysis and Geometry, Volume 18, Number 4

Scientific paper

Let X be a smooth projective Deligne-Mumford stack over an algebraically
closed field k of characteristic 0. In this paper we construct the moduli stack
of very twisted stable maps, extending the notion of twisted stable maps by
Abramovich and Vistoli to allow for generic stabilizers on the source curves.
We also consider the Gromov-Witten theory given by this construction.

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