-dimensions of algebraic surfaces and numerically effective divisors
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Fumio Sakai (1983)
Compositio Mathematica
H.G. Grundmann (1994)
Mathematische Annalen
Emery Thomas (1983)
Mathematische Annalen
H.G. Grundmann (1992)
Mathematische Annalen
Joël Briançon, F. Geandier, Philippe Maisonobe (1992)
Bulletin de la Société Mathématique de France
Jun-Muk Hwang (2007)
Annales de l’institut Fourier
Let be a Fano manifold with different from the projective space such that any two surfaces in have proportional fundamental classes in . Let be a surjective holomorphic map from a projective variety . We show that all deformations of with and fixed, come from automorphisms of . The proof is obtained by studying the geometry of the integral varieties of the multi-valued foliation defined by the variety of minimal rational tangents of .
Joachim Wehler (1984)
Mathematische Annalen
Jan Stevens (1995)
Journal für die reine und angewandte Mathematik
Jonathan Wahl (1988)
Mathematische Annalen
Alexander Schmitt (1995)
Journal für die reine und angewandte Mathematik
Wolfgang K. Seiler (1992)
Journal für die reine und angewandte Mathematik
Wolfgang K. Seiler (1988)
Mathematische Annalen
Erwan Rousseau (2012)
Bulletin de la Société Mathématique de France
We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singular pairs. In particular, we give applications on nodal surfaces and complements of singular plane curves.
Wolf Barth, Klaus Hulek, Ross Moore (1987)
Mathematische Annalen
Gérard Laumon (1976)
Bulletin de la Société Mathématique de France
B. Eh. Kunyavskij, A. N. Skorobogatov, M. A. Tsfasman (1989)
Mémoires de la Société Mathématique de France
Ronald van Luijk (2012)
Acta Arithmetica
H. Müller (1869)
Mathematische Annalen
Jonathan M. Wahl (1981)
Mathematische Annalen
Jean-Louis Colliot-Thélène, D. Coray (1980)
Journal für die reine und angewandte Mathematik
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