On the p-adic integration over Igusa towers of Siegel modular varieties

2025/12/03 by M. Seveso, Seveso, Marco Adamo
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2512.03782

Abstract

We develop an explicit p-adic integration theory for Igusa towers of modular Siegel manifolds, which finds applications to explicit reciprocity laws.

Citations

• Higher Ramanujan equations and periods of abelian varieties
• Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over \Z_p for representations with p-small weights

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