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A note on Abelian vareties embedded in quadrics
Rendiconti del Seminario Matematico della Università di Padova (2004)
  • Luis Fuentes García
Abstract

We show that if A is a d-dimensional abelian variety in a smooth quadric of dimension 2d then d=1 and A is an elliptic curve of bidegree (2, 2) on a quadric. This extends a result of Van de Ven which says that A only can be embedded in P2d when d=1 or 2.

Keywords
  • Abelian varieties; quadrics
Disciplines
Publication Date
January, 2004
Citation Information
Luis Fuentes García. "A note on Abelian vareties embedded in quadrics" Rendiconti del Seminario Matematico della Università di Padova Vol. 111 (2004)
Available at: http://works.bepress.com/luis_fuentesgarcia/11/