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Base loci of linear series are numerically determined

Michael Nakamaye
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Abstract

Suppose D is an effective divisor on a smooth projective algebraic variety X. For each point x of X we associate a numberical invariant called the moving Seshadri constant of D at x which is a numerical measure of positivity of the divisor D at x. We determine the base locus of a large multiple of D by studying these moving Seshadri constants-- the drawback to this method is that these moving Seshadri constants are extremely difficult to compute.

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Michael Nakamaye. 2002-04-23. Base loci of linear series are numerically determined. https://arxiv.org/abs/math/0204284

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