Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves-Reference-Cited by-同舟云学术

Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves

Published:2016-03 Issue:03 Volume:27 Page:1650027
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Tadokoro Yuuki¹

Affiliation:

1. Natural Science Education, Kisarazu National College of Technology, 2-11-1 Kiyomidai-Higashi, Kisarazu, Chiba 292-0041, Japan

Abstract

We obtain the trace map images of the values of certain harmonic volumes for some cyclic quotients of [Formula: see text]th Fermat curves. These provide the algorithm showing that the algebraic cycles, called [Formula: see text]th Ceresa cycles, are not algebraically equivalent to zero in their Jacobian varieties. We apply the method to curves for prime [Formula: see text] with [Formula: see text] modulo [Formula: see text], [Formula: see text] and [Formula: see text] [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16500270

Reference16 articles.

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