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- Centre National de la Recherche ScientifiqueFR434 papers
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7 papers · 2 filters
Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
Let be a rational homogeneous space and let be the group of invertible elements in the small quantum cohomology ring of localised in the quantum para…
Anti-affine algebraic groups
Michel Brion
We say that an algebraic group over a field is anti-affine if every regular function on is constant. We obtain a classification of these groups, with applications to the st…
Autour de la cohomologie de Bott-Chern
Michel Schweitzer
The goal of the memoir is to develop a new cohomology theory which encompasses De Rham and Dolbeault cohomology as well as Deligne Beilinson cohomology, in the context of general c…
Hyperbolicity of general deformations: proofs
Mikhail Zaidenberg
We modify the deformation method explored previously in a joint work of B. Shiffman and the author, in order to construct further examples of Kobayashi hyperbolic surfaces in the p…
Compact Manifolds Covered by a Torus
Jean-Pierre Demailly, Jun-Muk Hwang, Thomas Peternell
Let be a connected compact complex manifold admitting a finite surjective map from a complex torus We prove that up to finite étale cover, is a product of pr…
Periodic harmonic functions on lattices and points count in positive characteristic
Mikhail Zaidenberg
This survey addresses pluri-periodic harmonic functions on lattices with values in a positive characteristic field. We mention, as a motivation, the game "Lights Out" following the…