A Frobenius variant of Seshadri constants

Details A Frobenius variant of Seshadri constants A Frobenius variant of Seshadri constants

2012-03-06

arxiv.org/abs/1203.1081v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We define and study a version of Seshadri constant for ample line bundles in positive characteristic. We prove that lower bounds for this constant imply the global generation or very ampleness of the corresponding adjoint line bundle. As a consequence, we deduce that the criterion for global generation and very ampleness of adjoint line bundles in terms of usual Seshadri constants holds also in positive characteristic.

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