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Stable logarithmic maps to Deligne--Faltings pairs II

By Dan Abramovich and Qile Chen

Abstract

We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all generalized Deligne--Faltings log structures (in particular simple normal crossings divisor) from the simplest case with log structures given by a Cartier divisor (essentially the smooth divisor case).Comment: Add Section 4.7 to show the compatibility of minimality defined in this paper with the basicness introduced by Gross-Sieber

Topics: Mathematics - Algebraic Geometry, 14D23, 14N35
Year: 2011
OAI identifier: oai:arXiv.org:1102.4531
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