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On the p-adic integration over Igusa towers of Siegel modular varieties
Marco Adamo Seveso
We develop an explicit -adic integration theory for Igusa towers of modular Siegel manifolds, which finds applications to explicit reciprocity laws.
Syntomic formalism with coefficients
Fabrizio Andreatta, Massimo Bertolini, Marco Adamo Seveso +1
This paper provides the technical tools needed in ongoing work of the authors to compute p-adic étale Abel-Jacobi maps in order to obtain explicit reciprocity laws for GSp4. In par…
Triple product p-adic L-functions for balanced weights
Matthew Greenberg, Marco Adamo Seveso
We construct -adic triple product -functions that interpolate (square roots of) central critical -values in the balanced region. Thus, our construction complements that of…
Dirac operators in tensor categories and the motive of quaternionic modular forms
Marc Masdeu, Marco Adamo Seveso
We define a motive whose realizations afford modular forms (of arbitrary weight) on an indefinite division quaternion algebra. This generalizes work of Iovita--Spiess to odd weight…
L-invariants and Darmon cycles attached to modular forms
Victor Rotger, Marco Adamo Seveso
Let f be a modular eigenform of even weight k>0 and new at a prime p dividing exactly the level, with respect to an indefinite quaternion algebra. The theory of Fontaine-Mazur allo…