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arXiv · 2012.10622

Automorphism groups of certain Enriques surfaces

Simon Brandhorst·Ichiro Shimada
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Abstract

We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general $n$-nodal Enriques surfaces and very general cuspidal Enriques surfaces. We also describe the action of the automorphism group on the set of smooth rational curves and on the set of elliptic fibrations.

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Simon Brandhorst, Ichiro Shimada. 2020-12-19. Automorphism groups of certain Enriques surfaces. https://arxiv.org/abs/2012.10622

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