On Perez Del Pozo’s lower bound of Weierstrass weight

• Wangyu Nan

  College of Mathematics and Systematic Science Shenyang Normal University

• Kawasaki Masumi

  Kaijo School

• Sakai Fumio

  Department of Mathematics Saitama University

Abstract

Let V be a smooth projective curve over the complex number field with genus g ≥ 2, and let σ be an automorphism on V such that the quotient curve V/<σ> has genus 0. We write d (resp., b) for the order of σ (resp., the number of fixed points of σ). When d and b are fixed, the lower bound of the (Weierstrass) weights of fixed points of σ was obtained by Perez del Pozo [7]. We obtain necessary and sufficient conditions for when the lower bound is attained.

Journal

• Kodai Mathematical Journal

  Kodai Mathematical Journal 41 (2), 332-347, 2018-06-30

  Department of Mathematics, Tokyo Institute of Technology

Keywords

• Weierstrass gap sequence
• cyclic covering of the projective line

Details

• CRID: 1390001288043253376
• NII Article ID: 130007402837
• DOI: 10.2996/kmj/1530496845
• ISSN: 18815472
• ISSN: 03865991
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed