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- Centre National de la Recherche ScientifiqueFR105 papers
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8 papers · 2 filters
Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations
Fedor Bogomolov, Rodion Deev, Misha Verbitsky
Let be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration , and a closed form of Hodge type (1,1)+(2,0) on .…
Properties of schemes of morphisms and applications to blow-ups
Lucas das Dores
Let be a fixed projective scheme which is flat over a base scheme . The association taking a quasi-projective -scheme to the scheme parametrizing -morphisms from $…
Periods of Hodge cycles and special values of the Gauss' hypergeometric function
Jorge Duque Franco
We compute periods of perturbations of a Fermat variety. This allows us to consider a subspace of the Hodge cycles defined by "simple" arithmetic conditions. We explore some exampl…
Rational Endomorphisms of Codimension One Holomorphic Foliations
Federico Lo Bianco, Jorge Pereira, Erwan Rousseau +1
In this work, we study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.
Primitive Lie algebras of rational vector fields
Guy Casale, Frank Loray, Jorge Vitório Pereira +1
A transitive Lie algebra g of rational vector fields on a projective manifold which do not preserve any foliation determines a rational map to an algebraic homogenous space G/H whi…
Examples of varieties with index one on -fields
Ananyo Dan, Inder Kaur
Let be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field . In this article we give a sufficient criterion for a projective va…