Holomorphic Morse Inequalities and the Green-Griffiths-Lang Conjecture
By J. Demailly. 2010
63 citations recorded by the source corpus.
The goal of this work is to study the existence and properties of non constant entire curves f drawn in a complex irreducible n-dimensional variety X, and more specifically to show that they must satisfy certain global algebraic or differential equations as soon as X is projective of general type. By means of holomorphic Morse inequalities and a probabilistic analysis of the cohomology of jet spaces, we are able to reach a significant step towards a generalized version of the Green-Griffiths-Lang conjecture.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/b8397863c87524bf56101ed3ca1016b2513bcaa9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- On the hyperbolicity of general hypersurfaces (2016, methodology): “The bound of the theorem of [24] was later improved by different authors [16, 2], the current best bound being d > (5n)(2)n [9].”