A NOTE ON THE LINEAR SYSTEMS ON THE PROJECTIVE BUNDLES OVER ABELIAN VARIETIES

作者：Zhang, Lei^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(8): 2569-2580.

DOI：10.1090/S0002-9939-2014-11982-4

• Abelian varieties
• linear system
• birational maps

It is well known that for an ample line bundle L on an Abelian variety A, the linear system vertical bar 2L vertical bar is base point free and 3L is very ample; moreover, the map defined by the linear system vertical bar 2L vertical bar is well understood (cf. Theorem 1.1). In this paper we generalize this classical result and give a new proof using the theory developed by Pareschi and Popa in 2011 (cf. Theorem 1.2).

• 出版日期2014-8
• 单位陕西师范大学