Plectic p-adic invariants

Michele Fornea*, Xavier Guitart, Marc Masdeu

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

Abstract

For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Inspired by Nekovář and Scholl's plectic conjectures, we believe these invariants control the Mordell–Weil group of higher rank elliptic curves and we support our expectations with numerical experiments.

Original languageEnglish
Article number108484
JournalAdvances in Mathematics
Volume406
DOIs
Publication statusPublished - 17 Sep 2022

Keywords

  • BSD
  • Elliptic curves
  • Plectic
  • Stark-Heegner

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