TL;DR
This paper investigates the birational geometry of rational quartic double solids that are ramified over singular Kummer surfaces, providing insights into their structure and symmetries.
Contribution
It offers new results on the equivariant birational properties of quartic double solids related to Kummer surfaces.
Findings
Classification of birational maps for these solids
Identification of symmetry groups involved
Insights into the structure of singular Kummer surfaces
Abstract
We study equivariant birational geometry of (rational) quartic double solids ramified over (singular) Kummer surfaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models