Logarithmic Geometry, Minimal Free Resolutions and Toric Algebraic Stacks

被引：13

作者：

Iwanari, Isamu ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2009年 / 45卷 / 04期

关键词：

algebraic stacks; logarithmic geometry; toric geometry; SINGULARITIES;

D O I：

10.2977/prims/1260476654

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 embeddings in the framework of algebraic stacks and prove some fundamental properties. Also. We study the stack-theoretic analogue of toroidal embeddings.

引用

页码：1095 / 1140

页数：46

共 5 条

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