Some results on rational surfaces and Fano varieties

DOI10.1515/crll.2001.068zbMath0982.14003arXivmath/0001107OpenAlexW2082863286MaRDI QIDQ2744701

Francisco Javier Gallego, Bangere P. Purnaprajna

Publication date: 7 October 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001107

zbMATH Keywords

Koszul cohomologyFano varietyline bundlerational surfacesyzygyadjunction bundlesproperty \(N_p\)

Mathematics Subject Classification ID

Related Items (18)

Higher syzygies of ruled varieties over a curve ⋮ Syzygies of some GIT quotients ⋮ On syzygies of Segre embeddings ⋮ On the projective normality of double coverings over a rational surface ⋮ Higher linear syzygies of inner projections ⋮ Resolutions of Segre embeddings of projective spaces of any dimension ⋮ On the \(n\)-th row of the graded Betti table of an \(n\)-dimensional toric variety ⋮ Syzygies of surfaces of general type ⋮ Do Sums of Squares Dream of Free Resolutions? ⋮ Projective subvarieties having large Green-Lazarsfeld index ⋮ On the bicanonical morphism of quadruple Galois canonical covers ⋮ Projective normality of ruled surfaces ⋮ On the projective normality of cyclic coverings over a rational surface ⋮ On higher syzygies of ruled surfaces ⋮ Some Remarks on Syzygies of Adjoint Line Bundles ⋮ Computing graded Betti tables of toric surfaces ⋮ On the projective normality and normal presentation on higher dimensional varieties with nef canonical bundle ⋮ On higher syzygies of ruled surfaces. II

Cites Work

• The adjunction theory of complex projective varieties
• Anticanonical Rational Surfaces

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