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Compactifying the space of stable maps

Dan Abramovich·Angelo Vistoli
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Abstract

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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Dan Abramovich, Angelo Vistoli. 2000-03-12. Compactifying the space of stable maps. https://arxiv.org/abs/math/9908167

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