K3 surfaces, Picard numbers and Siegel disks
نویسندگان
چکیده
If a K3 surface admits an automorphism with Siegel disk, then its Picard number is even integer between 0 and 18. Conversely, using the method of hypergeometric groups, we are able to construct automorphisms disks that realize all possible numbers. The constructions involve extensive computer searches for appropriate Salem numbers computations algebraic arising from holomorphic Lefschetz-type fixed point formulas related Grothendieck residues.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2023
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107215