On equivariant formal deformation theory
Year: 2017
Type: preprint
Abstract: Using the set-up of deformation categories of Talpo and Vistoli, we re-interpret and generalize, in the context of cartesian morphisms in abstract categories, some results of Rim concerning obstructions against extensions of group actions in infinitesimal deformations. Furthermore, we observe that finite étale coverings can be infinitesimally extended and the resulting formal scheme is algebraizable. Finally, we show that pre-Tango structures survive under pullbacks with respect to finite, generically étale surjections $π:X\rightarrow Y$, and record some consequences regarding Kodaira vanishing in degree one.
Source: arXiv (Cornell University)
Authors: Schröer, Stefan, Takayama, Yukihide
Institutions: Heinrich Heine University Düsseldorf, Ritsumeikan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949177191