Building on previous work of Kollár, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety is simple or the degree of the polarization is two.
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Penn State Univ, Dept Math, University Pk, PA 16802 USA
Weizmann Inst Sci, Dept Math, IL-7610001 Rehovot, IsraelPenn State Univ, Dept Math, University Pk, PA 16802 USA
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NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
NRU HSE, Lab Algebra Geometry, 7 Vavilova Str, Moscow 117312, RussiaNYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Bogomolov, Fedor A.
Pirutka, Alena
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NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Pirutka, Alena
Silberstein, Aaron Michael
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Univ Chicago, 5734 S Univ Ave, Chicago, IL 60637 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA