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arXiv · 2412.18902

The automorphism groups of Kummer surfaces in characteristic two and their complex analogues

Shigeyuki Kondo·Shigeru Mukai
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Abstract

We calculate the automorphism group of the Kummer surface associated with a curve of genus 2 or the product of two elliptic curves in characteristic two under the assumption that the Kummer surface is a $K3$ surface. Moreover we discuss the complex $K3$ surfaces with the same Picard lattice as these Kummer surfaces. The paper has two appendices.

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Shigeyuki Kondo, Shigeru Mukai. 2024-12-25. The automorphism groups of Kummer surfaces in characteristic two and their complex analogues. https://arxiv.org/abs/2412.18902

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