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arxiv: 1310.5961 · v3 · pith:22RS3V6Vnew · submitted 2013-10-22 · 🧮 math.AG

Ample Weil divisors

classification 🧮 math.AG
keywords divisorsweilampleamplitudebignesscharacterizationscohomologydefine
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We define and study positivity (nefness, amplitude, bigness and pseudo-effectiveness) for Weil divisors on normal projective varieties. We prove various characterizations, vanishing and non-vanishing theorems for cohomology, global generation statements, and a result related to log Fano.

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