Extremal contractions from 4-dimensional manifolds to 3-folds

zbMath0908.14002arXivalg-geom/9502023MaRDI QIDQ4364773

Yasuyuki Kachi

Publication date: 15 December 1997

Full work available at URL: https://arxiv.org/abs/alg-geom/9502023

zbMATH Keywords

extremal rayminimal model conjecture3-foldscontraction morphism

Mathematics Subject Classification ID

(4)-folds (14J35) (3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (6)

The rationality problem for conic bundles ⋮ On covering and quasi-unsplit families of curves ⋮ On the birational geometry of Fano 4-folds ⋮ Unnamed Item ⋮ Equivariant minimal model program ⋮ On the normal bundle of an exceptional curve in a higher dimensional algebraic manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Del Pezzo fibrations over curves
• On extremal rays of the higher dimensional varieties
• Elementary contractions of algebraic 3-folds
• The cone of curves of algebraic varieties
• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• A numerical criterion for uniruledness
• On d-folds whose canonical bundle is not numerically effective, according to Mori and Kawamata
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Small contractions of four dimensional algebraic manifolds
• Projective manifolds with ample tangent bundles
• Vector bundles on complex projective spaces
• On the length of an extremal rational curve
• Rational connectedness and boundedness of Fano manifolds
• Vektorbündel vom Rang 2 über dem \(n\)-dimensionalen komplexprojektiven Raum
• A note on nonvanishing and applications
• On uniform vector bundles
• DOUBLE PROJECTION FROM A LINE ON FANO THREEFOLDS OF THE FIRST KIND
• On 3-dimensional terminal singularities
• ON CONIC BUNDLE STRUCTURES
• THE NONVANISHING THEOREM
• Fano fourfolds of index greater than one.
• Generalized adjunction and applications
• Flops
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• THE EXISTENCE OF A STRAIGHT LINE ON FANO 3-FOLDS
• DECOMPOSITION OF CERTAIN BIRATIONAL MORPHISMS
• Classification of Three-Dimensional Flips
• 3-FOLD LOG FLIPS
• Variétés de Prym et jacobiennes intermédiaires
• Semistable Minimal Models of Threefolds in Positive or Mixed Characteristic
• Connexité rationnelle des variétés de Fano
• On contractions of extremal rays of Fano manifolds.
• Threefolds whose canonical bundles are not numerically effective

This page was built for publication: Extremal contractions from 4-dimensional manifolds to 3-folds