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arXiv · alg-geom/9601018

Bounds for Seshadri Constants

Oliver Küchle·Andreas Steffens
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Abstract

In the paper we present an alternative approach to the boundedness of Seshadri constants (which measure the local positivity) of nef and big line bundles at a general point of a complex--projective variety. Our approach is based on the construction of divisors in certain adjoint linear systems having isolated singularities of high order. A variant of the method gives bounds for Seshadri constants valid at arbitrary points of a smooth variety; these bounds, however, depend on the line bundle and the positivity of the tangent bundle of the variety in question.

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BibTeXRIS

Oliver Küchle, Andreas Steffens. 1996-01-18. Bounds for Seshadri Constants. https://arxiv.org/abs/alg-geom/9601018

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