Rational curves on del Pezzo surfaces in positive characteristic
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Publication:5880329
DOI10.1090/btran/138OpenAlexW4323320333MaRDI QIDQ5880329
Roya Beheshti, Brian Lehmann, Sho Tanimoto, Eric Riedl
Publication date: 8 March 2023
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.00596
Rational and ruled surfaces (14J26) Families, moduli of curves (algebraic) (14H10) Positive characteristic ground fields in algebraic geometry (14G17)
Related Items (2)
A Zariski dense exceptional set in Manin's conjecture: dimension 2 ⋮ Classifying sections of del Pezzo fibrations. I
Cites Work
- Existence of Mori fibre spaces for 3-folds in char \(p\)
- A combinatorial characterization of the Fermat cubic surface in characteristic 2
- Deformations of rational curves in positive characteristic
- Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
- Resolution of singularities of threefolds in positive characteristic. II
- A numerical criterion for uniruledness
- On the number of rational points of bounded height on algebraic varieties
- Axiomatic theory for transversality and Bertini type theorems
- Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
- The arithmetic of elliptic curves
- Enriques' classification of surfaces in char p. III
- Gromov-Witten invariants in algebraic geometry
- The intrinsic normal cone
- On the geometry of thin exceptional sets in Manin's conjecture
- Smooth rational surfaces violating Kawamata-Viehweg vanishing
- Balanced line bundles on Fano varieties
- Stacks of stable maps and Gromov-Witten invariants
- Heights and Tamagawa measures on Fano varieties
- Very free rational curves in Fano varieties
- Classifying sections of del Pezzo fibrations. II
- Moduli spaces of rational curves on Fano threefolds
- Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \)
- On rational connectedness of globally \(F\)-regular threefolds
- Characterization of non-F-split del Pezzo surfaces of degree 2
- Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic
- On base point freeness in positive characteristic
- Existence of flips and minimal models for 3-folds in char $p$
- Algebraic points, non-anticanonical heights and the Severi problem on toric varieties
- Very free curves on Fano complete intersections
- Points algébriques de hauteur bornée sur une surface
- Separable rational connectedness and stability
- Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces
- Potential density of rational points for K3 surfaces over function fields
- The irreducibility of the spaces of rational curves on del Pezzo surfaces
- Foliations and rational connectedness in positive characteristic
- Existence of minimal models for varieties of log general type
- Resolution of singularities for 3-folds in positive characteristic
- A characterization of rational singularities in terms of injectivity of Frobenius maps
- Tamagawa numbers of polarized algebraic varieties
- Rational curves on quasi-projective surfaces
- Normal bundles of rational curves on complete intersections
- Families of rationally connected varieties
- Rational points on some Fano cubic bundles
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- Automorphisms of cubic surfaces in positive characteristic
- Geometric consistency of Manin's conjecture
- FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON -FOLDS IN CHARACTERISTIC
- On the three dimensional minimal model program in positive characteristic
- On Fujita invariants of subvarieties of a uniruled variety
- Geometric Manin’s conjecture and rational curves
- Algebraic surfaces. Transl. from the Romanian by V. Maşek
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