On the three dimensional minimal model program in positive characteristic

Abstract

Let $f:(X,B)\to Z$ be a 3-fold extremal dlt flipping contraction defined over an algebraically closed field of characteristic $p>5$, such that the coefficients of $\{B\}$ are in the standard set $\{1-\frac{1}{n}|n\in \mathbb{N}\}$, then the flip of $f$ exists. As a consequence, we prove the existence of minimal models for any projective $\Q$-factorial terminal variety $X$ with pseudo-effective canonical divisor $K_X$.

We correct some typos and inaccuracies, improve a result and add some applications

References in corpus (4)

• Abundance theorem for semi log canonical surfaces in positive characteristic
• The X-method for klt surfaces in positive characteristic
• Minimal models and abundance for positive characteristic log surfaces
• Semi-positivity in positive characteristics

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• On base point freeness in positive characteristic
• On subadditivity of Kodaira dimension in positive characteristic