We prove that many of the results of the log minimal model program hold for threefolds over
fields of characteristic p> 5 p>5 which are not necessarily perfect. This includes the …

We prove that many of the results of the LMMP hold for $3 $-folds over fields of characteristic
$ p> 5$ which are not necessarily perfect. In particular, the existence of flips, the cone …

IITAKA Cn,m CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS Page 1 Nagoya Math. J.,
229 (2018), 21–51 DOI 10.1017/nmj.2016.61 IITAKA Cn,m CONJECTURE FOR 3-FOLDS …

We prove the following results for projective klt pairs of dimension 3 over an algebraically
closed field of characteristic p> 5: the cone theorem, the base point free theorem, the …

Flip Theorem and the Existence of Minimal Models for 3-Folds Page 1 JOURNAL OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 1, Number 1, January 1988 FLIP THEOREM …

The purpose of this paper is to give the first step toward the theory of minimal models of
algebraic 3-folds. Let X be a non-singular projective 3-fold defined over the complex number …

We show that a weak version of the canonical bundle formula holds for fibrations of relative
dimension one. We provide various applications thereof, for instance, using the recent result …

The purpose of this note is to prove the following theorem which shows that" the hope"
stated in [5] actually holds, ie, any 3-fold of general type has at most a finite number of …

The purpose of this paper is to finish the proof of the abundance conjecture [K4, Conjecture
7.2] for minimal models of dimension 3. A minimal model is defined to be a normal Q …

Let f: X-> S be any elliptic fibration. If X has dimension 3 and is not uniruled, then X has a
minimal model (with terminal singularities)[Mori]. In earlier work we have shown that there …