Pathology of formal locally-trivial deformations in positive characteristic
Authors
Takuya Miyamoto
Abstract
We construct explicit examples that are algebraic varieties in positive characteristic to show that locally trivial moduli functors do not always satisfy Schlessinger's condition in [3], in contrast to the complex/characteristic case. The first example is an algebraic curve, and the second is a normal rational projective surface with only one rational double point.
