Picard groups of Siegel modular threefolds and theta lifting
Hongyu He, Jerome William Hoffman
TL;DR
This paper demonstrates that Humbert surfaces generate the Picard groups of Siegel modular threefolds, providing insight into their geometric structure.
Contribution
It establishes a rational generation of Picard groups by Humbert surfaces for Siegel modular threefolds, linking geometric and modular properties.
Findings
Humbert surfaces generate Picard groups rationally
Identification of geometric generators for Siegel modular threefolds
Advancement in understanding the structure of modular varieties
Abstract
We show that the Humbert surfaces rationally generate the Picard groups of Siegel modular threefolds.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory