Nonvanishing for 3-folds in characteristic \(p>5\)
From MaRDI portal
Publication:2001644
DOI10.1215/00127094-2018-0066zbMath1468.14032arXiv1801.03192OpenAlexW3099252339MaRDI QIDQ2001644
Publication date: 10 July 2019
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03192
Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)
Related Items
On the relative minimal model program for fourfolds in positive and mixed characteristic ⋮ SEMIAMPLENESS FOR CALABI–YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC ⋮ Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Abundance theorem for threefolds in mixed characteristic ⋮ On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the S-fundamental group scheme
- Existence of Mori fibre spaces for 3-folds in char \(p\)
- On the Kodaira dimension of minimal threefolds
- On the canonical bundle formula and log abundance in positive characteristic
- On different notions of tameness in arithmetic geometry
- Simply connected projective manifolds in characteristic \(p>0\) have no nontrivial stratified bundles
- Canonical models of surfaces of general type in positive characteristic
- Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe
- Ample filters of invertible sheaves.
- Semistable sheaves in positive characteristic
- Minimal model program for log canonical threefolds in positive characteristic
- Abundance theorem for surfaces over imperfect fields
- Abundance for 3-folds with non-trivial Albanese maps in positive characteristic
- On the abundance problem for 3-folds in characteristic \(p>5\)
- Birational characterization of abelian varieties and ordinary abelian varieties in characteristic \(p>0\)
- Generic positivity and foliations in positive characteristic
- The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
- Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
- On base point freeness in positive characteristic
- Existence of flips and minimal models for 3-folds in char $p$
- On the S-fundamental group scheme. II
- The X-method for klt surfaces in positive characteristic
- Fujita's conjecture and Frobenius amplitude
- BOUNDEDNESS AND K2 FOR LOG SURFACES
- Introduction
- Fundamental groups of $F$-regular singularities via $F$-signature
- Singularities of general fibers and the LMMP
- On the rationality of Kawamata log terminal singularities in positive characteristic
- On the three dimensional minimal model program in positive characteristic
- ON THE BASE-POINT-FREE THEOREM OF 3-FOLDS IN POSITIVE CHARACTERISTIC
- Abundance for non‐uniruled 3‐folds with non‐trivial Albanese maps in positive characteristics
- Finiteness of algebraic fundamental groups