The automorphism groups of Kummer surfaces in characteristic two and their complex analogues
Algebraic Geometry
2025-12-24 v2
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 surface. Moreover we discuss the complex surfaces with the same Picard lattice as these Kummer surfaces. The paper has two appendices.
Cite
@article{arxiv.2412.18902,
title = {The automorphism groups of Kummer surfaces in characteristic two and their complex analogues},
author = {Shigeyuki Kondo and Shigeru Mukai},
journal= {arXiv preprint arXiv:2412.18902},
year = {2025}
}
Comments
46 pages, 23 Figures