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math.AG2000
On a Relative Version of Fujita's Freeness Conjecture
Yujiro Kawamata
We consider Fujita's freeness conjecture in a relative setting and prove a criterion by proving a correct Q-divisor version of the Kollar vanishing theorem.
math.AG2000
On effective non-vanishing and base-point-freeness
Yujiro Kawamata
Let be a complete normal variety, an effective -divisor on , and a Cartier divisor on . Assume that the pair is log terminal. We consider the…