Lifting globally \(F\)-split surfaces to characteristic zero
From MaRDI portal
Publication:6633122
DOI10.1515/CRELLE-2024-0058MaRDI QIDQ6633122
Fabio Bernasconi, [[Person:6148063|Author name not available (Why is that?)]], Jakub Witaszek, Tatsuro Kawakami
Publication date: 5 November 2024
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Positive characteristic ground fields in algebraic geometry (14G17) Witt vectors and related rings (13F35)
Cites Work
- Surfaces of globally \(F\)-regular and \(F\)-split type
- Minimal model theory for log surfaces
- Néron-Severi groups under specialization
- Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
- The Tate conjecture for ordinary K 3 surfaces over finite fields
- Globally \(F\)-regular and log Fano varieties
- Small resolutions and non-liftable Calabi-Yau threefolds
- Frobenius splitting and cohomology vanishing for Schubert varieties
- Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
- A p-adic proof of the non-existence of vector fields on K3 surfaces
- Enriques' classification of surfaces in char p. III
- Desingularization of two-dimensional schemes
- Basepoint freeness for nef and big line bundles in positive characteristic
- Log smooth deformation theory
- Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
- Global Frobenius liftability. I
- Ordinary varieties with trivial canonical bundle are not uniruled
- Serre-Tate theory for Calabi-Yau varieties
- Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces
- Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic
- On derived equivalences of \(K3\) surfaces in positive characteristic
- When is the Albanese morphism an algebraic fiber space in positive characteristic?
- A note on the cone conjecture for \(K3\) surfaces in positive characteristic
- On the birational nature of lifting
- Toward a numerical theory of ampleness
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
- Quasi-Frobenius splitting and lifting of Calabi-Yau varieties in characteristic \(p\)
- Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic
- On log del Pezzo surfaces in large characteristic
- The maximal number of singular points on log del Pezzo surfaces
- EXEMPLES DE VARIÉTÉS PROJECTIVES EN CARACTÉRISTIQUE p NON RELEVABLES EN CARACTÉRISTIQUE ZÉRO
- Deformation Theory
- Complexe de de\thinspace Rham-Witt et cohomologie cristalline
- A characterization of rational singularities in terms of injectivity of Frobenius maps
- Rational curves on quasi-projective surfaces
- F-regular and F-pure rings vs. log terminal and log canonical singularities
- Minimal model program for excellent surfaces
- Liftability of Singularities and Their Frobenius Morphism Modulo $p^2$
- Rational double points on supersingular 𝐾3 surfaces
- Introduction
- Pseudo-reductive Groups
- ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC
- ON ORDINARY ENRIQUES SURFACES IN POSITIVE CHARACTERISTIC
- On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
- Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
- Minimal Models and Abundance for Positive Characteristic Log Surfaces
- Some elementary examples of non-liftable varieties
- Global Frobenius liftability II: surfaces and Fano threefolds
- On rank one log del Pezzo surfaces in characteristic different from two and three
- Relative semiampleness in mixed characteristic
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
Related Items (1)
This page was built for publication: Lifting globally \(F\)-split surfaces to characteristic zero
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6633122)
