On the adjunction theoretic classification of polarized varieties.

DOI10.1515/crll.1992.427.157zbMath0762.14005OpenAlexW1798374734MaRDI QIDQ3988355

Mauro C. Beltrametti, Andrew John Sommese

Publication date: 28 June 1992

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

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002209527

zbMATH Keywords

Del Pezzo variety5-foldsadjunction classification of polarized algebra varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and birational maps (14E05) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)

Related Items (17)

On the \(k\)-spannedness of the adjoint line bundle for degree \(\leq 4k+4\) ⋮ What we know about the second adjunction mapping ⋮ Contractions of Gorenstein polarized varieties with high nef value ⋮ Some remarks on the study of good contractions ⋮ Classifying smooth lattice polytopes via toric fibrations ⋮ On Kodaira energy and adjoint reduction of polarized threefolds ⋮ On classification of polarized varieties with non-integral nef values ⋮ Contractions on a manifold polarized by an ample vector bundle ⋮ On Kodaira energy and adjoint reduction of polarized manifolds ⋮ On structure of small contractions of odd dimensional projective varieties ⋮ Unnamed Item ⋮ Projective manifolds with small pluridegrees ⋮ When \(K+(n-4)L\) fails to be nef ⋮ Two theorems on elementary contractions ⋮ Special results in adjunction theory in dimension four and five ⋮ A note on nonvanishing and applications ⋮ 3-folds in \({\mathbb{P}}^ 5\) of degree 12

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