[图书][B] Rational curves on algebraic varieties
J Kollár - 2013 - books.google.com
The aim of this book is to provide an introduction to the structure theory of higher
dimensional algebraic varieties by studying the geometry of curves, especially rational …
dimensional algebraic varieties by studying the geometry of curves, especially rational …
[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 …
OF COMPLEX PROJECTIVE VARIETIES DE GRUYTER EXPOSITIONS IN MATHEMATICS DE G …
On Sasakian–Einstein geometry
CP Boyer, K Galicki - International Journal of Mathematics, 2000 - World Scientific
We introduce a multiplication⋆(we call it a join) on the space of all compact Sasakian-
Einstein orbifolds and show that has the structure of a commutative associative topological …
Einstein orbifolds and show that has the structure of a commutative associative topological …
[图书][B] Projective duality and homogeneous spaces
EA Tevelev - 2006 - books.google.com
Projective duality is a very classical notion naturally arising in various areas of mathematics,
such as algebraic and differential geometry, combinatorics, topology, analytical mechanics …
such as algebraic and differential geometry, combinatorics, topology, analytical mechanics …
The number of vertices of a Fano polytope
C Casagrande - Annales de l'institut Fourier, 2006 - numdam.org
The number of vertices of a Fano polytope Page 1 ANNA L E S D E L’INSTITU T FO U RIER
ANNALES DE L’INSTITUT FOURIER Cinzia CASAGRANDE The number of vertices of a …
ANNALES DE L’INSTITUT FOURIER Cinzia CASAGRANDE The number of vertices of a …
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 …
de nombre de Picard ρ X et de pseudo-indice ι X vérifie ρX(ιX-1)≤dim(X).Nousdémontronscetteconjecturedansplusie …
Projectively dual varieties
EA Tevelev - Journal of Mathematical Sciences, 2003 - Springer
For several centuries, various reincarnations of projective duality have inspired research in
algebraic and differential geometry, classical mechanics, invariant theory, combinatorics …
algebraic and differential geometry, classical mechanics, invariant theory, combinatorics …
Generalized Mukai conjecture for special Fano varieties
M Andreatta, E Chierici, G Occhetta - Open Mathematics, 2004 - degruyter.com
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 …
generalization of a conjecture of Mukai says that ρX (i X− 1)≤ n. We prove that the …
Results on varieties with many lines and their applications to adjunction theory
Appendix (by Mauro C. Beltrametti, Andrew J. Sommese). Applications to adjunction theory.
References. Introduction. Let L be an ample line bundle on a smooth connected n …
References. Introduction. Let L be an ample line bundle on a smooth connected n …
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 …
premier dans X. Nous considérons l'image N 1 (D, X) de N 1 (D) dans N 1 (X) par …