[图书][B] The adjunction theory of complex projective varieties

MC Beltrametti, AJ Sommese - 2011 - books.google.com
Page 1 DE GRUYTER Mauro C. Beltrametti, Andrew J. Sommese THE ADJUNCTION THEORY
OF COMPLEX PROJECTIVE VARIETIES DE GRUYTER EXPOSITIONS IN MATHEMATICS DE G …

[图书][B] Geometry of higher dimensional algebraic varieties

Y Miyaoka, T Peternell - 1997 - Springer
This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung
held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the …

Sur une conjecture de Mukai

L Bonavero, C Casagrande, O Debarre… - Commentarii Mathematici …, 2003 - Springer
Résumé Généralisant une question de Mukai, nous conjecturons qu'une variété de Fano X
de nombre de Picard ρ X et de pseudo-indice ι X vérifie ρX(ιX-1)≤dim(X).Nousdémontronscetteconjecturedansplusie …

A view on contractions of higher dimensional varieties

M Andreatta, J Wisniewski - Proceedings of Symposia in Pure …, 1997 - books.google.com
Introduction. In this paper we discuss some recent results about maps of complex algebraic
varieties. A contraction p: X→ Z is a proper surjective map of normal varieties with connected …

On the Picard number of divisors in Fano manifolds

C Casagrande - Annales scientifiques de l'Ecole normale supérieure, 2012 - numdam.org
R.–Soient X une variété de Fano lisse et complexe de dimension arbitraire, et D un diviseur
premier dans X. Nous considérons l'image N 1 (D, X) de N 1 (D) dans N 1 (X) par …

Special rays in the Mori cone of a projective variety

M Andreatta, G Occhetta - Nagoya Mathematical Journal, 2002 - cambridge.org
SPECIAL RAYS IN THE MORI CONE OF A PROJECTIVE VARIETY Page 1 M. Andreatta and
G. Occhetta Nagoya Math. J. Vol. 168 (2002), 127–137 SPECIAL RAYS IN THE MORI CONE …

Quasi-elementary contractions of Fano manifolds

C Casagrande - Compositio Mathematica, 2008 - cambridge.org
Let X be a smooth complex Fano variety. We study 'quasi-elementary'contractions of fiber
type of X, which are a natural generalization of elementary contractions of fiber type. If f: X→ …

[PDF][PDF] On Bănică sheaves and Fano manifolds

E Ballico, JA Wisniewski - Compositio Mathematica, 1996 - numdam.org
On Bănică sheaves and Fano manifolds Page 1 COMPOSITIO MATHEMATICA EDOARDO
BALLICO JAROSŁAW A. WISNIEWSKI On Banica sheaves and Fano manifolds Compositio …

Extremal contractions and non-free rational curves on Fano varieties

K Watanabe - arXiv preprint arXiv:2309.03438, 2023 - arxiv.org
Let $ X $ be a complex smooth Fano variety whose minimal anticanonical degree of non-
free rational curves on $ X $ is at least $\dim X-2$. We give a classification of extremal …

Contractions on a manifold polarized by an ample vector bundle

M Andreatta, M Mella - Transactions of the American Mathematical Society, 1997 - ams.org
A complex manifold $ X $ of dimension $ n $ together with an ample vector bundle $ E $ on
it will be called a generalized polarized variety. The adjoint bundle of the pair $(X, E) $ is the …