Del Pezzo surfaces over Dedekind schemes

DOI10.2307/2118567zbMath0902.14026arXivalg-geom/9505036OpenAlexW2013271280MaRDI QIDQ674546

Alessio Corti

Publication date: 10 December 1998

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9505036

zbMATH Keywords

standard modelDel Pezzo surfaceterminal singularitiesextremal contractionample anticanonical bundleDedekind schemeDel Pezzo fibrationFano 3-foldMori fiber spacesmooth Del Pezzo surface

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Special surfaces (14J25)

Related Items (19)

Weak approximation for low degree Del Pezzo surfaces ⋮ Birational self-maps of threefolds of (un)-bounded genus or gonality ⋮ The rationality problem for conic bundles ⋮ Degeneration of torsors over families of del Pezzo surfaces ⋮ Finite groups of birational transformations ⋮ Classifying sections of del Pezzo fibrations. I ⋮ Involution surface bundles over surfaces ⋮ Fibrations in sextic del Pezzo surfaces with mild singularities ⋮ Polynomials with integral coefficients, equivalent to a given polynomial ⋮ A classification of terminal quartic 3-folds and applications to rationality questions ⋮ Equivariant minimal model program ⋮ Graded rings of rank 2 Sarkisov links ⋮ Alpha-invariants and purely log terminal blow-ups ⋮ The defect of Fano $3$-folds ⋮ A Note on Del Pezzo Fibrations of Degree 1 ⋮ Stability of fibrations over one-dimensional bases ⋮ On the birational rigidity of some pencils of del Pezzo surfaces ⋮ Classifying sections of del Pezzo fibrations. II ⋮ Weak approximation for cubic hypersurfaces

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