Bounds for Seshadri Constants
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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.
AMSTeX 2.1, 20 pages
AMSTeX 2.1, 20 pages