TY - JOUR
T1 - Logarithmic geometry, minimal free resolutions and toric algebraic stacks
AU - Iwanari, Isamu
PY - 2009/12
Y1 - 2009/12
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=77649335111&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77649335111&partnerID=8YFLogxK
U2 - 10.2977/prims/1260476654
DO - 10.2977/prims/1260476654
M3 - Article
AN - SCOPUS:77649335111
SN - 0034-5318
VL - 45
SP - 1095
EP - 1140
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 4
ER -