Coble surfaces with finite automorphism group

Abstract

We classify Coble surfaces with finite automorphism group in characteristic p ≥ 0, p = 2. There are exactly 9 isomorphism classes of such surfaces.

Coble surfaces in characteristic two

“…The following lemma is the analogue of Proposition 2.15 for Coble surfaces. For the proof we refer the reader to [13,Lemma 3.13].…”

“…Recall that Katsura, Kondō and Martin [11] classified classical Enriques surfaces in characteristic 2 with finite automorphism group: there are exactly 8 classes of such Enriques surfaces. On the other hand, in case of characteristic p = 2, the second author [13] recently gave the classification of such Coble surfaces.…”