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Equivalence of two notions of log moduli stacks

Algebraic Geometry 2014-05-12 v2

Abstract

We show the equivalence between two notions of log moduli stacks which appear in literatures. In particular, we generalize M.Olsson's theorem of representation of log algebraic stacks and answer a question posted by him (\cite{Ol4} 3.5.3). As an application, we obtain several fundamental results of algebraic log stacks which resemble to those in algebraic stacks.

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Cite

@article{arxiv.1404.0157,
  title  = {Equivalence of two notions of log moduli stacks},
  author = {Junchao Shentu},
  journal= {arXiv preprint arXiv:1404.0157},
  year   = {2014}
}

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27 pages