Deligne--Illusie Classes as Arithmetic Kodaira--Spencer Classes
Number Theory
2018-04-18 v2 Algebraic Geometry
Logic
Abstract
Faltings showed that "arithmetic Kodaira--Spencer classes" satisfying a certain compatibility axiom cannot exist. By modifying his definitions slightly, we show that the Deligne--Illusie classes satisfy what could be considered an "arithmetic Kodaira--Spencer" compatibility condition. Afterwards we discuss a "wittfinitesimal Torelli problem" and its relation to CM Jacobians.
Cite
@article{arxiv.1804.00228,
title = {Deligne--Illusie Classes as Arithmetic Kodaira--Spencer Classes},
author = {Taylor Dupuy and David Zureick-Brown},
journal= {arXiv preprint arXiv:1804.00228},
year = {2018}
}