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Compact Kähler manifolds with compactifiable universal cover

Benoît Claudon, Andreas Höring (2013)

Bulletin de la Société Mathématique de France

In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.

Comparaison de deux notions de rationalité d'un dessin d'enfant

Layla Pharamond dit d'Costa (2001)

Journal de théorie des nombres de Bordeaux

Soit f un revêtement ramifié de 𝐏 1 défini sur 𝐐 ¯ . Lorsqu’on s’intéresse aux propriétés de rationalité de f sur les les corps de nombres, on peut soit exiger que la base soit 𝐏 1 , soit l’autoriser à être une courbe de genre 0 . Nous comparons ces deux points de vue pour les revêtements non ramifiés en dehors de 0 , 1 ,

Contraction of excess fibres between the McKay correspondences in dimensions two and three

Samuel Boissière, Alessandra Sarti (2007)

Annales de l’institut Fourier

The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as Hilbert schemes of regular orbits whose exceptional fibres over the origin reveal similar properties. We construct a morphism between these two resolutions, contracting exactly the excess part of the exceptional fibre. This construction is motivated by the study of some pencils of K3 surfaces appearing as minimal resolutions...

Contractions of smooth varieties. II. Computations and applications

Marco Andreatta, Jarosław A. Wiśniewski (1998)

Bollettino dell'Unione Matematica Italiana

Una contrazione su una varietà proiettiva liscia X è data da una mappa φ : X Z propria, suriettiva e a fibre connesse in una varietà irriducibile normale Z . La contrazione si dice di Fano-Mori se inoltre - K X è φ -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...

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