Base loci of linear series are numerically determined

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Base loci of linear series are numerically determined

Suppose X is a smooth projective variety defined over an algebraically closed field of characteristic zero and suppose L is a line bundle on X. If x ∈ X the Seshadri constant ǫ(x, L) measures the numerical positivity of L at x. When L is nef ǫ(x, L) carries local geometric information at x, namely it measures which order jets L generates at x asymptotically. When L is not nef, however, ǫ(x, L) ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2002

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-02-03180-x