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.
|Number of pages||46|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - 2009 Dec|
- Algebraic stacks
- Logarithmic geometry
- Toric geometry
ASJC Scopus subject areas