Relations between the Kähler cone and the balanced cone of a Kähler manifold
Tài liệu tham khảo
Alessandrini, 1992, Positive ∂∂¯-closed currents and non-Kähler geometry, J. Geom. Anal., 2, 291, 10.1007/BF02934583
Alessandrini, 1993, Metric properties of manifolds bimeromorphic to compact Kähler spaces, J. Differential Geom., 37, 95, 10.4310/jdg/1214453424
Alessandrini, 1995, Modifications of compact balanced manifolds, C. R. Math. Acad. Sci. Paris, 320, 1517
Bigolin, 1969, Gruppi di Aeppli, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 23, 259
Boucksom, 2004, Divisorial Zariski decompositions on compact complex manifolds, Ann. Sci. Ec. Norm. Super. (4), 37, 45, 10.1016/j.ansens.2003.04.002
Boucksom, 2010, Monge–Ampère equations in big cohomology classes, Acta Math., 205, 199, 10.1007/s11511-010-0054-7
Boucksom, 2013, The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension, J. Algebraic Geom., 22, 201, 10.1090/S1056-3911-2012-00574-8
Debarre, 2001
Demailly, 1993, A numerical criterion for very ample line bundles, J. Differential Geom., 37, 323, 10.4310/jdg/1214453680
Demailly
Demailly, 2004, Numerical characterization of the Kähler cone of a compact Kähler manifold, Ann. of Math. (2), 159, 1247, 10.4007/annals.2004.159.1247
Fu, 2012, Balanced metrics on non-Kähler Calabi–Yau threefolds, J. Differential Geom., 90, 81, 10.4310/jdg/1335209490
Fu, 2010, Form-type Calabi–Yau equations, Math. Res. Lett., 17, 887, 10.4310/MRL.2010.v17.n5.a7
Fu
Gray, 1980, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. (4), 123, 35, 10.1007/BF01796539
Green, 1995, Black hole condensation and the unification of string vacua, Nuclear Phys. B, 451, 109, 10.1016/0550-3213(95)00371-X
Gromov, 1990, Convex sets and Kähler manifolds, 1
Kawamata, 1988, Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces, Ann. of Math. (2), 127, 93, 10.2307/1971417
Kawamata, 1997, On the cone of divisors of Calabi–Yau fiber spaces, Internat. J. Math., 8, 665, 10.1142/S0129167X97000354
Kawamata, 1987, Introduction to the minimal model problem, Adv. Stud. Pure Math., 10, 283, 10.2969/aspm/01010283
Michelsohn, 1982, On the existence of special metrics in complex geometry, Acta Math., 149, 261, 10.1007/BF02392356
Paun, 1998, Sur l'effectivité numérique des images inverses de fibrés en droites, Math. Ann., 310, 411, 10.1007/s002080050154
Rossi, 2006, Geometric transitions, J. Geom. Phys., 56, 1940, 10.1016/j.geomphys.2005.09.005
Sullivan, 1976, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math., 36, 225, 10.1007/BF01390011
Toma, 2010, A note on the cone of mobile curves, C. R. Math. Acad. Sci. Paris, 348, 71, 10.1016/j.crma.2009.11.003
Tosatti, 2009, Limits of Calabi–Yau metrics when the Kähler class degenerates, J. Eur. Math. Soc. (JEMS), 11, 755, 10.4171/JEMS/165
Tosatti
Voisin, 2003, Hodge Theory and Complex Algebraic Geometry, I, vol. 76
Yau, 1978, On the Ricci curvature of a compact Kähler manifold and the complex Monge–Ampère equation, I, Comm. Pure Appl. Math., 31, 339, 10.1002/cpa.3160310304