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This research aims to classify bidouble covers relating to rational surfaces and their Hodge structures.

Hodge Structures of K3 type of bidouble covers of rational surfaces

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This research aims to classify bidouble covers relating to rational surfaces and their Hodge structures.
Examined bidouble covers of rational surfaces and K3 surfaces.
Analyzed weight 2 Hodge-structures to investigate infinitesimal Torelli property and Chow motives.
Proposed an iterated bidouble cover construction for obtaining surfaces with enhanced properties.
Classified all bidouble covers satisfying specific conditions for minimal surfaces.
Established connections between Hodge structures and Chow groups for resulting surfaces.
Developed a method for generating surfaces with higher values in Hodge structure.

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Classifies bidouble covers of rational surfaces, revealing intricate connections in algebraic geometry.

Garbagnati et al. (2026) studied this question.

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