Effectivity of Semi-positive Line Bundles

نویسندگان

چکیده

Abstract We review work by Campana–Oguiso–Peternell (J Differ Geom 85(3):397–424, 2010) and Verbitsky (Geom Funct Anal 19(5):1481–1493, showing that a semi-positive line bundle on hyperkähler manifold admits at least one non-trivial section. This is modest but tangible evidence towards the SYZ conjecture for manifolds.

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ژورنال

عنوان ژورنال: Milan Journal of Mathematics

سال: 2022

ISSN: ['1424-9286', '1424-9294']

DOI: https://doi.org/10.1007/s00032-022-00356-z