EXPERIMENTS WITH CERESA CLASSES OF CYCLIC FERMAT QUOTIENTS

David T.B.G. Lilienfeldt, Ari Shnidman

Research output: Contribution to journalArticlepeer-review

Abstract

We give two new examples of non-hyperelliptic curves whose Ceresa cycles have torsion images in the intermediate Jacobian. For one of them, the central value of the L-function of the relevant motive is non-vanishing and the Ceresa cycle is torsion in the Griffiths group, consistent with the conjectures of Beilinson and Bloch. We speculate on a possible explanation for the existence of these torsion Ceresa classes, based on some computations with cyclic Fermat quotients.

Original languageAmerican English
Pages (from-to)931-947
Number of pages17
JournalProceedings of the American Mathematical Society
Volume151
Issue number3
DOIs
StatePublished - 1 Mar 2023

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • General Mathematics

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