We provide a natural criterion that implies equality of the test ideal and big test ideal in local
rings of prime characteristic. Most notably, we show that the criterion is met by every local …

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 …

Let $(X, B) $ be a pair of a normal variety over a perfect field of positive characteristic and a
reduced divisor. We prove that if the Cartier isomorphism extends from the log smooth locus …

In this article we prove a relative Kawamata–Viehweg vanishing-type theorem for PLT 3-
folds in characteristic p> 5 p> 5. We use this to prove the normality of minimal log canonical …

We prove that a geometrically integral smooth 3-fold $ X $ with nef anti-canonical class and
negative Kodaira dimension over a finite field $\mathbb {F} _q $ of characteristic $ p> 5$ and …

On the abundance problem for 3-folds in characteristic $$p>5$$ | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

Let $(X, B) $ be a pair of a normal surface over a perfect field of characteristic $ p> 0$ and
an effective $\mathbb {Q} $-divisor $ B $ on $ X $. We prove that Steenbrink type vanishing …

In this paper, we study the singularities of a general hyperplane section H of a three-
dimensional quasi-projective variety X over an algebraically closed field of characteristic p> …

In this paper, we will prove subadditivity of Kodaira dimensions for a fibration with possibly
singular geometric generic fiber, under certain nefness and relative semi-ampleness …