A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf

作者：Sannai Akiyoshi; Tanaka Hiromu^*

来源：Mathematische Annalen, 2016, 366(3-4): 1067-1087.

DOI：10.1007/s00208-015-1352-3

For an ordinary abelian variety X, is decomposed into line bundles for every positive integer e. Conversely, if a smooth projective variety X satisfies this property and the Kodaira dimension of X is non-negative, then X is an ordinary abelian variety.

• 出版日期2016-12