K3 surfaces with 9 cusps in characteristic p

نویسندگان

چکیده

We study K3 surfaces with 9 cusps, i.e. disjoint A 2 configurations of smooth rational curves, over algebraically closed fields characteristic p ? 3 . Much like in the complex situation studied by Barth, we prove that each such surface admits a triple covering an abelian surface. Conversely, determine which order three automorphisms give rise to surfaces. also investigate how cusps hit supersingular locus.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2020.106558