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math.NTNov 1, 2020
3
citations (OpenAlex)
authors
  • David Loeffler
  • Sarah Livia Zerbes
arXiv abstractPDF
paper

On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)

arXiv:2011.15098

Abstract

We compute the images of motivic cohomology classes for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2) under the syntomic regulator, and relate them to non-critical values of p-adic L-functions.

arXiv commentv2: updates to references, acknowledgements

References in corpus (10)

  • Rankin--Eisenstein classes for modular forms
  • Euler systems for GSp(4)
  • La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes spéciaux orthogonaux
  • Higher Hida theory and p-adic L-functions for GSp(4)
  • On the Bloch-Kato conjecture for GSp(4)
  • Euler Systems for GSp4​×GL2​
  • Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary
  • P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
  • On local zeta-integrals for GSp(4) and GSp(4) x GL(2)
  • On some zeta-integrals for unramified representations of GSp(4)

Cited by in corpus (3)

  • Gross--Prasad periods for reducible representations
  • On some zeta-integrals for unramified representations of GSp(4)
  • On the Bloch--Kato conjecture for GSp(4) x GL(2)
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