On the relative minimal model program for fourfolds in positive and mixed characteristic
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Publication:5887136
DOI10.1017/fmp.2023.6OpenAlexW3193478625MaRDI QIDQ5887136
Jakub Witaszek, Christopher Derek Hacon
Publication date: 17 April 2023
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02631
Related Items
Minimal model program for semi-stable threefolds in mixed characteristic, Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic, Arithmetic and geometric deformations of threefolds, Termination of threefold flips in mixed characteristic
Cites Work
- Unnamed Item
- Unnamed Item
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- Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden.
- A canonical linear system associated to adjoint divisors in characteristic \(p>0\)
- Variants of normality for Noetherian schemes
- Existence of Mori fibre spaces for 3-folds in char \(p\)
- Quotient spaces modulo algebraic groups
- On the canonical bundle formula and log abundance in positive characteristic
- Termination of (many) 4-dimensional log flips
- Flops connect minimal models
- Globally \(F\)-regular and log Fano varieties
- Basepoint freeness for nef and big line bundles in positive characteristic
- Varieties over a finite field with trivial Chow group of 0-cycles have a rational point
- Hodge-Witt cohomology and Witt-rational singularities
- Minimal model program for log canonical threefolds in positive characteristic
- Nonvanishing for 3-folds in characteristic \(p>5\)
- Keel's base point free theorem and quotients in mixed characteristic
- Rational points on log Fano threefolds over a finite field
- On the abundance problem for 3-folds in characteristic \(p>5\)
- On strongly \(F\)-regular inversion of adjunction
- On the birational nature of lifting
- Combinatorial degenerations of surfaces and Calabi-Yau threefolds
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- On base point freeness in positive characteristic
- Existence of flips and minimal models for 3-folds in char $p$
- Bertini theorems for F -singularities
- Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory
- The essential skeleton of a degeneration of algebraic varieties
- Deformations of canonical pairs and Fano varieties
- THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC
- Relative semi‐ampleness in positive characteristic
- On Witt vector cohomology for singular varieties
- Existence of minimal models for varieties of log general type
- Existence of minimal models for varieties of log general type II
- Deformation Theory
- Classification of Three-Dimensional Flips
- Semistable Minimal Models of Threefolds in Positive or Mixed Characteristic
- Minimal model program for excellent surfaces
- Liftability of Singularities and Their Frobenius Morphism Modulo $p^2$
- Introduction
- Good Reduction of K3 Surfaces in equicharacteristic p
- An analogue of adjoint ideals and PLT singularities in mixed characteristic
- On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
- On the base point free theorem for KLT threefolds in large characteristic
- On the rationality of Kawamata log terminal singularities in positive characteristic
- A Witt Nadel vanishing theorem for threefolds
- On the three dimensional minimal model program in positive characteristic
- Good Reduction of K3 Surfaces
- Introduction
- Special termination and reduction to pl flips
