An asymptotic vanishing theorem for generic unions of multiple points
نویسنده
چکیده
Theorem. 1.1 Let X be a projective geometrically reduced and irreducible scheme over a field k of (arbitrary) characteristic p and let M , L be line bundles on X with L ample. If p is positive then suppose further that X is smooth in codimension one. For fixed m ≥ 0 there exists d0 = d0(m), depending also on X,L,M, such that for any d ≥ d0 and any generic union Z of (fat) points of multiplicity ≤ m the canonical map H(X,M ⊗ L) −→ H(Z,OZ ⊗ M ⊗ L )
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