TY - JOUR

T1 - EXPERIMENTS WITH CERESA CLASSES OF CYCLIC FERMAT QUOTIENTS

AU - Lilienfeldt, David T.B.G.

AU - Shnidman, Ari

N1 - Publisher Copyright:
© 2022 American Mathematical Society.

PY - 2023/3/1

Y1 - 2023/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85146465516&partnerID=8YFLogxK

U2 - 10.1090/proc/16178

DO - 10.1090/proc/16178

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AN - SCOPUS:85146465516

SN - 0002-9939

VL - 151

SP - 931

EP - 947

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -