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Stable logarithmic maps to Deligne-Faltings pairs I
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math.AG
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stablemapslogarithmicsensecompactificationdegenerationdeligne-faltingsexpanded
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We introduce a new compactification of the space of relative stable maps. This new method uses logarithmic geoemtry in the sense of Kato-Fontaine-Illusie rather than the expanded degeneration. The underlying structure of our log stable maps is stable in the usual sense.
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