Work

Explicit Involution Geometry of Product Kummer Surfaces

Year: 2026

Type: preprint

Abstract: Revised review with full fixed-locus and cohomology calculations for the standard affine two-torsion subgroup of a product Kummer surface. Classical Lieberman constructions are credited; this is not a classification of all K3 or Enriques involutions. We classify the 31 nonidentity involutions in the standard affine two-torsion subgroup of a product Kummer surface. We compute their fixed loci, quotient surfaces and rational cohomology representations, including the fixed loci of all fifteen translations descending to each of the nine Lieberman quotients.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24054029

Authors: Bhattacharjee, Deep, Nandi, Pallab

Institution: Indian Institute of Science Education and Research Kolkata

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225598040

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