Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Isamu Iwanari

doi:10.2977/prims/1260476654

Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Isamu Iwanari

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1095-1140
Number of pages	46
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	45
Issue number	4
DOIs	https://doi.org/10.2977/prims/1260476654
Publication status	Published - 2009 Dec
Externally published	Yes

Keywords

Algebraic stacks
Logarithmic geometry
Toric geometry

ASJC Scopus subject areas

Mathematics(all)

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10.2977/prims/1260476654

Cite this

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AB - 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.

KW - Algebraic stacks

KW - Logarithmic geometry

KW - Toric geometry

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Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Abstract

Keywords

ASJC Scopus subject areas

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