Torsion points on hypereiliptic Jacobians via Anderson's p-adic soliton theory

Yuken Miyasaka, Takao Yamazaki

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We show that torsion points of certain orders are not on a theta divisor in the Jacobian variety of a hypereiliptic curve given by the equation y 2 =x2g+1 + x with g ≥ 2. The proof employs a method of Anderson who proved an analogous result for a cyclic quotient of a Fermat curve of prime degree.

Original languageEnglish
Pages (from-to)387-403
Number of pages17
JournalTokyo Journal of Mathematics
Volume36
Issue number2
DOIs
Publication statusPublished - 2013 Dec 1

Keywords

  • P-adic tau function
  • Sato grassmannian
  • Theta divisor
  • Torsion in jacobian

ASJC Scopus subject areas

  • Mathematics(all)

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