Extending extremal contractions from an ample section.
The Stable Adjunction Map on Gorenstein Varieties.
Contractions of Gorenstein polarized varieties with high nef value.
Morphisms of projective varieties from the viewpoint of minimal model theory
Closed transverse -forms on compact complex manifolds
Erratum : “Closed transverse -forms on compact complex manifolds”
On the Adjunction Mapping for Singular Projective Varieties.
Generalized Mukai conjecture for special Fano varieties
Let X be a Fano variety of dimension n, pseudoindex i X and Picard number ρX. A generalization of a conjecture of Mukai says that ρX(i X−1)≤n. We prove that the conjecture holds for a variety X of pseudoindex i X≥n+3/3 if X admits an unsplit covering family of rational curves; we also prove that this condition is satisfied if ρX> and either X has a fiber type extremal contraction or has not small extremal contractions. Finally we prove that the conjecture holds if X has dimension five.
Contractions of smooth varieties. II. Computations and applications
Una contrazione su una varietà proiettiva liscia è data da una mappa propria, suriettiva e a fibre connesse in una varietà irriducibile normale . La contrazione si dice di Fano-Mori se inoltre è -ampio. Nel lavoro, naturale seguito e completamento delle ricerche introdotte in [A-W3], si studiano diversi aspetti delle contrazioni di Fano-Mori attraverso esempi (capitolo 1) e teoremi di struttura (capitoli 3 e 4). Si discutono anche alcune applicazioni allo studio di morfismi birazionali propri...
On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
We consider a smooth projective variety on which a simple algebraic group acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of with the induced action of on the normal bundle of a closed orbit of the action. We get effective results in case and .
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