Compactifying the space of stable maps

Details Compactifying the space of stable maps Compactifying the space of stable maps

1999-08-30

arxiv.org/abs/math/9908167v2

Mathematics

Algebraic Geometry

34 pages; Latex 2e. The following devices were used to reduce the authors' publication count: 1. new section on canonical cont

Scientific paper

We define two equivalent notions of twisted stable map from a curve to a
Deligne-Mumford stack with projective moduli space, and we prove that twisted
stable maps of fixed degree form a complete Deligne-Mumford stack with
projective moduli space.

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