121 citations · 531 across the 36 of their papers we have counts for
41 papers
Quintessential inflation: A tale of emergent and broken symmetries
Dario Bettoni, Javier Rubio
Quintessential inflation provides a unified description of inflation and dark energy in terms of a single scalar degree of freedom, the cosmon. We present here a comprehensive over…
On the existence of logarithmic and orbifold jet differentials
Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly +1
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebraic or analytic variety (X, V), and a ramification divisor D, where V is a cohere…
On the locus of higher order jets of entire curves in complex projective varieties
Jean-Pierre Demailly
For a given complex projective variety, the existence of entire curves is strongly constrained by the positivity properties of the cotangent bundle. The Green-Griffiths-Lang conjec…
Bergman bundles and applications to the geometry of compact complex manifolds
Jean-Pierre Demailly
We introduce the concept of Bergman bundle attached to a hermitian manifold X, assuming the manifold X to be compact - although the results are local for a large part. The Bergman…
The algebraic dimension of compact complex threefolds with vanishing second Betti numbers
Frederic Campana, Jean-Pierre Demailly, Thomas Peternell
Small changes in sections 4 and 5, results not affected
Morse cohomology estimates for jet differential operators
Jean-Pierre Demailly, Mohammad Reza Rahmati
We provide detailed holomorphic Morse estimates for the cohomology of sheaves of jet differentials and their dual sheaves. These estimates apply on arbitrary directed varieties, an…