Abstract:We classify Coble surfaces with finite automorphism group in characteristic p ≥ 0, p = 2. There are exactly 9 isomorphism classes of such surfaces.
“…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].…”
Section: Coble Surfaces Let S Be a Coble Surface With Boundary Compon...mentioning
confidence: 99%
“…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.…”
We study Coble surfaces in characteristic 2, in particular, singularities of their canonical coverings. As an application we classify Coble surfaces with finite automorphism group in characteristic 2. There are exactly 9 types of such surfaces.
“…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].…”
Section: Coble Surfaces Let S Be a Coble Surface With Boundary Compon...mentioning
confidence: 99%
“…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.…”
We study Coble surfaces in characteristic 2, in particular, singularities of their canonical coverings. As an application we classify Coble surfaces with finite automorphism group in characteristic 2. There are exactly 9 types of such surfaces.
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