Globally $\pmb{+}$-regular varieties and the minimal model program for threefolds in mixed characteristic

Minimal model program for semi-stable threefolds in mixed characteristic

(2023) Teppei Takamatsu et al.   JOURNAL OF ALGEBRAIC GEOMETRY

Nakai–Moishezon ampleness criterion for real line bundles

(2022) Osamu Fujino et al.   MATHEMATISCHE ANNALEN

Keel's base point free theorem and quotients in mixed characteristic

(2022) Jakub Witaszek   ANNALS OF MATHEMATICS

An analogue of adjoint ideals and PLT singularities in mixed characteristic

(2022) Linquan Ma et al.   JOURNAL OF ALGEBRAIC GEOMETRY

The minimal model program for threefolds in characteristic 5

(2022) Christopher Hacon et al.   DUKE MATHEMATICAL JOURNAL

Local cohomology bounds and the weak implies strong conjecture in dimension 4

(2022) Ian Aberbach et al.   JOURNAL OF ALGEBRA

On the log minimal model program for threefolds over imperfect fields of characteristic p>5$p>5$

(2022) Omprokash Das et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Structure of Geometrically Non-reduced Varieties

(2021) Lena Ji et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Singularities in mixed characteristic via perfectoid big Cohen–Macaulay algebras

(2021) Linquan Ma et al.   DUKE MATHEMATICAL JOURNAL

Relative semi‐ampleness in positive characteristic

(2020) Paolo Cascini et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Resolution of Singularities of Arithmetical Threefolds.

(2019) Vincent Cossart et al.   JOURNAL OF ALGEBRA

Birational characterization of Abelian varieties and ordinary Abelian varieties in characteristic $p\gt 0$

(2019) Christopher D. Hacon et al.   DUKE MATHEMATICAL JOURNAL

Nonvanishing for $3$ -folds in characteristic $p\gt 5$

(2019) Chenyang Xu et al.   DUKE MATHEMATICAL JOURNAL

The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay

(2019) Burt Totaro   JOURNAL OF ALGEBRAIC GEOMETRY

Abundance theorem for surfaces over imperfect fields

(2019) Hiromu Tanaka   MATHEMATISCHE ZEITSCHRIFT

Rational points on log Fano threefolds over a finite field

(2019) Yoshinori Gongyo et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Weak functoriality of Cohen-Macaulay algebras

(2019) Yves André   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Minimal model program for excellent surfaces

(2018) Hiromu Tanaka   ANNALES DE L INSTITUT FOURIER

When is the Albanese morphism an algebraic fiber space in positive characteristic?

(2018) Sho Ejiri   MANUSCRIPTA MATHEMATICA

Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers

(2018) Linquan Ma et al.   INVENTIONES MATHEMATICAE

On the direct summand conjecture and its derived variant

(2017) Bhargav Bhatt   INVENTIONES MATHEMATICAE

THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC 5$" height="12pt">

(2017) JOE WALDRON   NAGOYA MATHEMATICAL JOURNAL

La conjecture du facteur direct

(2017) Yves André   Publications Mathematiques de l IHES

Semi-positivity in positive characteristics

(2017) Zsolt Patakfalvi   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

Existence of flips and minimal models for 3-folds in char $p$

(2016) Caucher Birkar   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

Behavior of canonical divisors under purely inseparable base changes

(2016) Hiromu Tanaka   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS

(2016) Alberto Chiecchio et al.   Journal of the Institute of Mathematics of Jussieu

Algebraic Surfaces of General Type with Small c 2 1 in Positive Characteristic

(2016) Christian Liedtke   NAGOYA MATHEMATICAL JOURNAL

On rational connectedness of globally F -regular threefolds

(2015) Yoshinori Gongyo et al.   ADVANCES IN MATHEMATICS

On base point freeness in positive characteristic

(2015) Paolo Cascini et al.   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

On strongly F-regular inversion of adjunction

(2015) Omprokash Das   JOURNAL OF ALGEBRA

Test ideals of non-principal ideals: Computations, jumping numbers, alterations and division theorems

(2014) Karl Schwede et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

A canonical linear system associated to adjoint divisors in characteristic p > 0

(2014) Karl Schwede   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic

(2014) Yuchen Zhang   JOURNAL OF ALGEBRA

On the three dimensional minimal model program in positive characteristic

(2014) Christopher D. Hacon et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

ON THE BASE-POINT-FREE THEOREM OF 3-FOLDS IN POSITIVE CHARACTERISTIC

(2014) Chenyang Xu   Journal of the Institute of Mathematics of Jussieu

Test ideals via a single alteration and discreteness and rationality of $F$-jumping numbers

(2013) Karl Schwede et al.   MATHEMATICAL RESEARCH LETTERS

A Frobenius variant of Seshadri constants

(2013) Mircea Mustaţă et al.   MATHEMATISCHE ANNALEN

Perfectoid Spaces

(2013) Peter Scholze   Publications Mathematiques de l IHES

Derived splinters in positive characteristic

(2012) Bhargav Bhatt   COMPOSITIO MATHEMATICA

Minimal Model Theory for Log Surfaces

(2012) Osamu Fujino   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

Fundamental Theorems for the Log Minimal Model Program

(2011) Osamu Fujino   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

Globally F-regular and log Fano varieties

(2010) Karl Schwede et al.   ADVANCES IN MATHEMATICS

Existence of minimal models for varieties of log general type

(2010) Caucher Birkar et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Rational singularities associated to pairs

(2008) Karl Schwede et al.   MICHIGAN MATHEMATICAL JOURNAL