Maximal rationally connected fibrations and movable curves
Luis E. Solá Conde[1]; Matei Toma[2]
- [1] Universidad Rey Juan Carlos Departamento de Matemáticas C. Tulipán s.n. 28933 Móstoles, Madrid (Spain)
- [2] Institut de Mathématiques Elie Cartan Nancy-Université B.P. 239 54506 Vandoeuvre-lès-Nancy Cedex (France) and Institute of Mathematics of the Romanian Academy
Annales de l’institut Fourier (2009)
- Volume: 59, Issue: 6, page 2359-2369
- ISSN: 0373-0956
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top- Sebastien Boucksom, Jean-Pierre Demailly, Mihai Păun, Thomas Peternell, The pseudo-effectuve cone of a compact Kähler manifold and varieties of negative Kodaira dimension Zbl1267.32017
- Frédéric Campana, Connexité rationnelle des variétés de Fano, Ann. Sci. École Norm. Sup. (4) 25 (1992), 539-545 Zbl0783.14022MR1191735
- Frédéric Campana, Thomas Peternell, Geometric stability of the cotangent bundle and the universal cover of a projective manifold Zbl1218.14030
- Hubert Flenner, Restrictions of semistable bundles on projective varieties, Comment. Math. Helv. 59 (1984), 635-650 Zbl0599.14015MR780080
- Tom Graber, Joe Harris, Jason Starr, Families of rationally connected varieties, J. Amer. Math. Soc. 16 (2003), 57-67 Zbl1092.14063MR1937199
- Daniel Huybrechts, Manfred Lehn, The geometry of moduli spaces of sheaves, (1997), Friedr. Vieweg & Sohn, Braunschweig Zbl0872.14002MR1450870
- Jun-Muk Hwang, Geometry of minimal rational curves on Fano manifolds, School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000) 6 (2001), 335-393, Abdus Salam Int. Cent. Theoret. Phys., Trieste Zbl1086.14506MR1919462
- Stefan Kebekus, Luis Solá Conde, Matei Toma, Rationally connected foliations after Bogomolov and McQuillan, J. Algebraic Geom. 16 (2007), 65-81 Zbl1120.14011MR2257320
- János Kollár, Rational curves on algebraic varieties, 32 (1996), Springer-Verlag, Berlin Zbl0877.14012MR1440180
- János Kollár, Yoichi Miyaoka, Shigefumi Mori, Rationally connected varieties, J. Algebraic Geom. 1 (1992), 429-448 Zbl0780.14026MR1158625
- Vikram B. Mehta, Annamalai Ramanathan, Semistable sheaves on projective varieties and their restriction to curves, Math. Ann. 258 (1981/82), 213-224 Zbl0473.14001MR649194
- Yoichi Miyaoka, Deformations of a morphism along a foliation and applications, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) 46 (1987), 245-268, Amer. Math. Soc., Providence, RI Zbl0659.14008MR927960
- Yoichi Miyaoka, Shigefumi Mori, A numerical criterion for uniruledness, Ann. of Math. (2) 124 (1986), 65-69 Zbl0606.14030MR847952