English

Stable logarithmic maps to Deligne--Faltings pairs II

Algebraic Geometry 2011-03-29 v2

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).

Keywords

Cite

@article{arxiv.1102.4531,
  title  = {Stable logarithmic maps to Deligne--Faltings pairs II},
  author = {Dan Abramovich and Qile Chen},
  journal= {arXiv preprint arXiv:1102.4531},
  year   = {2011}
}

Comments

Add Section 4.7 to show the compatibility of minimality defined in this paper with the basicness introduced by Gross-Siebert