English

Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Algebraic Geometry 2009-08-29 v2

Abstract

In this paper we will introduce a certain type of morphisms of log schemes (in the sense of Fontaine, Illusie, and Kato) and investigate their moduli. Then by applying this we define a notion of toric algebraic stacks over arbitrary schemes, which may be regarded as torus embeddings within the framework of algebraic stacks, and study some basic properties. Furthermore, we study the stack-theoretic analogue of toroidal embeddings.

Keywords

Cite

@article{arxiv.0707.2568,
  title  = {Logarithmic geometry, minimal free resolutions and toric algebraic stacks},
  author = {Isamu Iwanari},
  journal= {arXiv preprint arXiv:0707.2568},
  year   = {2009}
}

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the last version

R2 v1 2026-06-21T08:59:10.320Z