Stable logarithmic maps to Deligne-Faltings pairs I

Mathematics – Algebraic Geometry

Scientific paper

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We changed the terminology "log stable maps" to "stable log maps". A gap in the proof of compatibility with formal completions

Scientific paper

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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