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首页> 外文期刊>Annales scientifiques de l'Ecole normale superieure >EXISTENCE OF FLIPS AND MINIMAL MODELS FOR 3-FOLDS IN CHAR p
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EXISTENCE OF FLIPS AND MINIMAL MODELS FOR 3-FOLDS IN CHAR p

机译:CHAR p中三折的翻转和最小模型的存在

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摘要

We will prove the following results for 3-fold pairs (X, B) over an algebraically closed field k of characteristic p > 5: log flips exist for Q-factorial dlt pairs (X, B); log minimal models exist for projective klt pairs (X, B) with pseudo-effective K-X + B; the log canonical ring R(K-X + B) is finitely generated for projective klt pairs (X, B) when K-X + B is a big Q-divisor; semi-ampleness holds for a nef and big Q-divisor D if D - (K-X + B) is nef and big and (X, B) is projective k Q-factorial dlt models exist for lc pairs (X, B); terminal models exist for klt pairs (X, B); ACC holds for lc thresholds, etc.
机译:我们将证明特征p> 5的代数封闭场k上三折对(X,B)的以下结果:Q乘数dlt对(X,B)存在对数翻转;对于具有伪有效K-X + B的投影klt对(X,B),存在对数最小模型;当K-X + B为大Q除数时,对射影klt对(X,B)有限生成对数正则环R(K-X + B);如果D-(K-X + B)是nef且大且(X,B)是射影klt,则半整数适用于nef和大Q除数D;存在LC对(X,B)的Q因数dlt模型;存在klt对(X,B)的终端模型; ACC保留lc阈值等。

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