The cuspidal torsion packet on hyperelliptic Fermat quotients Journal Article uri icon

Overview

abstract

  • Let ℓ≥7 be a prime, C be the non-singular projective curve defined over ℚ by the affine model y(1-y)=x ℓ , ∞ the point of C at infinity on this model, J the Jacobian of C, and φ:C→J the albanese embedding with ∞ as base point. Let ℚ ¯ be an algebraic closure of ℚ. Taking care of a case not covered in [12], we show that φ(C)∩J tors (ℚ ¯) consists only of the image under φ of the Weierstrass points of C and the points (x,y)=(0,0) and (0,1), where J tors denotes the torsion points of J.

publication date

  • January 1, 2004

has restriction

  • bronze

Date in CU Experts

  • September 18, 2013 5:40 AM

Full Author List

  • Grant D; Shaulis D

author count

  • 2

Other Profiles

Electronic International Standard Serial Number (EISSN)

  • 2118-8572

Additional Document Info

start page

  • 577

end page

  • 585

volume

  • 16

issue

  • 3