Existence of Mori fibre spaces for 3-folds in char p

2014/10/16 by Birkar, Caucher, Waldron, Joe · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.4511

Abstract

We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of char p>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc.

Cited by

• Boundedness of complements for fibered Fano threefolds in positive characteristic

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• Mori fibre spaces for 3-folds over imperfect fields
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• Iitaka's C_n,m conjecture for 3-folds in positive characteristic