Galois embedding of algebraic variety and its application to abelian surface

• Yoshihara, Hisao

Abstract

We define a Galois embedding of a projective variety V and give a criterion whether an embedding is Galois or not. Then we consider several representations of the Galois group. Following the method developed in the first half, we consider the structure of an abelian surface with the Galois embedding in the latter half. We give a complete list of all possible groups and show that the abelian surface is isogenous to the square of an elliptic curve. 2000 Mathematics Subject Classification number: 14N10, 14J99, 14K99

Journal

• Rendiconti del Seminario Maatematico della Universita di Padova

  Rendiconti del Seminario Maatematico della Universita di Padova 117 69-85, 2007

  Dipartimento di Matematica Pura e Applicata Universita di Padova

Details

• CRID: 1050001339233659904
• NII Article ID: 120006740021
• NII Book ID: AA00806020
• ISSN: 00418994
• HANDLE: 10191/6258
• Web Site: https://niigata-u.repo.nii.ac.jp/records/2587
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles