Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)1095-1140
Number of pages46
JournalPublications of the Research Institute for Mathematical Sciences
Volume45
Issue number4
DOIs
Publication statusPublished - 2009 Dec
Externally publishedYes

Keywords

  • Algebraic stacks
  • Logarithmic geometry
  • Toric geometry

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Logarithmic geometry, minimal free resolutions and toric algebraic stacks'. Together they form a unique fingerprint.

Cite this