Add to ORKGAbstract: We give a characterization of hyperbolic Kato surfaces in terms of the existence of an automorphic Green function on a cyclic covering. This is achieved by analysing a naturally defined Levi-flat foliation, and by perturbing certain Levi-flat leaves to strictly pseudoconvex hypersurfaces. 2010 Mathematics Subject Classification: Kato surfaces, Levi-flat foliations, plurisubharmonic functions
25 pages.Surfaces of general type with positive second Segre number $s_2:=c_1^2-c_2>0$ are known by ...
13 pages, 3 figures, in FrenchInternational audienceLet $S$ be an intermediate Kato surface, $D$ the...
Let $X$ be a compact, complex surface of general type whose cotangent bundle $\Omega_X$ is strongly ...
We study the set of deRham classes of Lee $1$-forms of the locally conformally symplectic (LCS) stru...
We show that for every smooth generic projective hypersurface X in P^{n+1} there exists a proper sub...
Abstract. The main goal of this work is to prove that a very generic surface of degree at least 21 i...
International audienceWe consider minimal compact complex surfaces S with Betti numbers b\ = 1 and n...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
AbstractAny rational map f is induced on the Riemann sphere by a homogeneous non-degenerate polynomi...
We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fi...
Let S⊂Pg be a smooth K3 surface of degree 2g−2, g≥3. We classify all the cases for which h0(NS/Pg(−2...
73 pagesInternational audienceFor any minimal compact complex surface $S$ with $b_2(S)>0$ containing...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verifie...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
25 pages.Surfaces of general type with positive second Segre number $s_2:=c_1^2-c_2>0$ are known by ...
13 pages, 3 figures, in FrenchInternational audienceLet $S$ be an intermediate Kato surface, $D$ the...
Let $X$ be a compact, complex surface of general type whose cotangent bundle $\Omega_X$ is strongly ...
We study the set of deRham classes of Lee $1$-forms of the locally conformally symplectic (LCS) stru...
We show that for every smooth generic projective hypersurface X in P^{n+1} there exists a proper sub...
Abstract. The main goal of this work is to prove that a very generic surface of degree at least 21 i...
International audienceWe consider minimal compact complex surfaces S with Betti numbers b\ = 1 and n...
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces who...
AbstractAny rational map f is induced on the Riemann sphere by a homogeneous non-degenerate polynomi...
We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fi...
Let S⊂Pg be a smooth K3 surface of degree 2g−2, g≥3. We classify all the cases for which h0(NS/Pg(−2...
73 pagesInternational audienceFor any minimal compact complex surface $S$ with $b_2(S)>0$ containing...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verifie...
It was conjectured by Lang that a complex projective man-ifold is Kobayashi hyperbolic if and only i...
25 pages.Surfaces of general type with positive second Segre number $s_2:=c_1^2-c_2>0$ are known by ...
13 pages, 3 figures, in FrenchInternational audienceLet $S$ be an intermediate Kato surface, $D$ the...
Let $X$ be a compact, complex surface of general type whose cotangent bundle $\Omega_X$ is strongly ...