Enriques involutions on singular K3 surfaces of small discriminants

Davide Cesare Veniani; Ichiro Shimada

Enriques involutions on singular K3 surfaces of small discriminants

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arxiv 1902.00229 v1 pith:Q46WA66K submitted 2019-02-01 math.AG

Ichiro Shimada , Davide Cesare Veniani This is my paper · ORCID

classification math.AG

keywords surfacesenriquesinvolutionsautomorphismgrouplatticesingularalgebraic

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We classify Enriques involutions on a K3 surface, up to conjugation in the automorphism group, in terms of lattice theory. We enumerate such involutions on singular K3 surfaces with transcendental lattice of discriminant smaller than or equal to 36. For 11 of these K3 surfaces, we apply Borcherds method to compute the automorphism group of the Enriques surfaces covered by them. In particular, we investigate the structure of the two most algebraic Enriques surfaces.

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