It is known by the results of Kollár, Ein, Lazarsfeld, Hacon, and Debarre that effective divisors representing principal and other low-degree polarizations on complex abelian varieties have mild singularities. In this note, we extend these results to all polarizations of degree.
Pareschi, G. (2021). Singularities of divisors of low degree on simple abelian varieties. INTERNATIONAL MATHEMATICS RESEARCH NOTICES(21), 16726-16735 [10.1093/imrn/rnaa046].
Singularities of divisors of low degree on simple abelian varieties
G. Pareschi
2021-11-01
Abstract
It is known by the results of Kollár, Ein, Lazarsfeld, Hacon, and Debarre that effective divisors representing principal and other low-degree polarizations on complex abelian varieties have mild singularities. In this note, we extend these results to all polarizations of degree.File in questo prodotto:
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