Two theorems on elementary contractions

DOI10.1007/BF01459496zbMath0789.14011MaRDI QIDQ1318159

Edoardo Ballico, Jarosław A. Wiśniewski, Marco Andreatta

Publication date: 16 June 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165126

zbMATH Keywords

small contraction

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) (n)-folds ((n>4)) (14J40)

Related Items (15)

Contractions of Gorenstein polarized varieties with high nef value ⋮ Extremal rays of non-integral \(L\)-length ⋮ Classification of Mukai pairs with corank $3$ ⋮ A remark on elementary contractions ⋮ Geometry of rays-positive manifolds ⋮ A classification theorem on Fano bundles ⋮ AMPLE VECTOR BUNDLES WITH SECTIONS VANISHING ON SPECIAL VARIETIES ⋮ Simple normal crossing Fano varieties and log Fano manifolds ⋮ Special rays in the Mori cone of a projective variety ⋮ Effective non-vanishing and local positivity of adjoint ample bundles ⋮ Classification of Mukai pairs with dimension $4$ and rank $2$ ⋮ Fano manifolds with many free divisors ⋮ Complex manifolds whose blow-up at a point is Fano ⋮ Two theorems on elementary contractions ⋮ A note on nonvanishing and applications

Cites Work

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• Small contractions of four dimensional algebraic manifolds
• On polarized varieties of small Delta-genera
• New properties of special varieties arising from adjunction theory
• Two theorems on elementary contractions
• Remarks on quasi-polarized varieties
• On the adjunction theoretic classification of polarized varieties.
• VECTOR BUNDLES AND ADJUNCTION
• On contractions of extremal rays of Fano manifolds.
• Effective base point freeness

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