Integral Chow rings of toric stacks
The purpose of this paper is to prove that integral Chow rings of toric stacks are naturally isomorphic to Stanley-Reisner rings.
math.AG↗
arXiv subjects
Isamu Iwanari
Publications and source records attributed to Isamu Iwanari.
Deformation theory of rigid-analytic spaces
In this paper, we study a deformation theory of rigid analytic spaces. We develop a theory of cotangent complexes for rigid geometry which fits in with our deformations. We then use the complexes to give a cohomological description of infinitesimal deformation of rigid analytic spaces. Moreover, we will prove an existence of a formal versal family for a proper rigid analytic space.
math.AG↗
Kobayashi-Ochiai's theorem for log schemes
Kobayashi-Ochiai's theorem says us that the set of dominant rational maps to a complex variety of general type is finite. In this paper, we give a generalization of it in the category of log schemes.
math.AG↗