Numerical characterization of the Kahler cone of a compact Kahler manifold

By J. Demailly, Mihai Paun. 2001

431 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2ec5d5892cde07bad93c8b1333a33173f099e95f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Monge–Ampère equations in big cohomology classes (2008, background): “8], which was itself an elaboration of the key technical result of [19].”
A numerical criterion for generalised Monge-Ampère equations on projective manifolds (2020, methodology): “The argument of Chen in [3] relies on the “diagonal trick” of Demailly and Paun.”
Geometry of Hermitian manifolds (2010, background): “On the other hand, by Demailly-Paun [10]( see also [27]), on each Moishezon manifold, there exists a singular Hermitian metric ω such that ∂∂ω = 0 in the sense of current.”
Relations between the Kähler cone and the balanced cone of a Kähler manifold (2012, background): “For compact Kähler manifolds, Demailly and Paun [11] proved that a nef class [α] is big if and only if ∫ X αn > 0.”
Lectures on K3 Surfaces (2016, background): “The theorem can nowadays be seen as a consequence of the much more general result by Demailly and Paun [145], which in dimension two had been proved by Buchdahl [88] and Lamari [344, 345].”
Kähler currents and null loci (2013, methodology): “Combining this statement with the theorem of Demailly and Păun [21] and Demailly’s regularization [18], we get the following:”
Symplectic embedding problems, old and new (2017, background): “By the Demailly–Paun theorem [29], this condition is also sufficient.”
On regularization of plurisubharmonic functions on manifolds (2007, methodology): “Guedj and Zeriahi [6] used complicated methods developed by Demailly (see [2], [4], [5]) to show that such an approximation is possible when M admits a positive holomorphic line bundle.”