Logarithmic geometry, minimal free resolutions and toric algebraic stacks

Details Logarithmic geometry, minimal free resolutions and toric algebraic stacks Logarithmic geometry, minimal free resolutions and toric algebraic stacks

2007-07-17

arxiv.org/abs/0707.2568v2

Mathematics

Algebraic Geometry

the last version

Scientific paper

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.

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