Add to ORKGWe equip integral graded-polarized mixed period spaces with a natural $\mathbb{R}_{alg}$-definable analytic structure, and prove that any period map associated to an admissible variation of integral graded-polarized mixed Hodge structures is definable in $\mathbb{R}_{an,exp}$ with respect to this structure. As a consequence we reprove that the zero loci of admissible normal functions are algebraic
International audienceAbstract We study smooth projective hyperkähler fourfolds that are deformation...
We complete the construction of the fundamental diagram of various partial compactifications of the ...
At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures wi...
We prove a mixed version of a conjecture of Griffiths: that the closure of the image of any admissib...
We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hod...
In this article, we prove a rigidity criterion for period maps of admissible variations of graded-po...
We extend certain aspects of C. Simpson's correspondence between harmonic metrics and variations of ...
In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace de...
We discuss a class of variations of mixed Hodge structure that are admissible in the sense of J. Ste...
The variety of all smooth hypersurfaces of given degree and dimension has the Fermat hypersurface as...
We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures...
Abstract. We consider a period map Ψ from Teichmüller space to Hom(K2,H1) R, which is a real vector...
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded...
We show that the zero locus of an admissible normal function on a smooth complex algebraic variety i...
We construct toroidal partial compactifications of the moduli spaces of mixed Hodge structures with ...
International audienceAbstract We study smooth projective hyperkähler fourfolds that are deformation...
We complete the construction of the fundamental diagram of various partial compactifications of the ...
At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures wi...
We prove a mixed version of a conjecture of Griffiths: that the closure of the image of any admissib...
We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hod...
In this article, we prove a rigidity criterion for period maps of admissible variations of graded-po...
We extend certain aspects of C. Simpson's correspondence between harmonic metrics and variations of ...
In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace de...
We discuss a class of variations of mixed Hodge structure that are admissible in the sense of J. Ste...
The variety of all smooth hypersurfaces of given degree and dimension has the Fermat hypersurface as...
We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures...
Abstract. We consider a period map Ψ from Teichmüller space to Hom(K2,H1) R, which is a real vector...
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded...
We show that the zero locus of an admissible normal function on a smooth complex algebraic variety i...
We construct toroidal partial compactifications of the moduli spaces of mixed Hodge structures with ...
International audienceAbstract We study smooth projective hyperkähler fourfolds that are deformation...
We complete the construction of the fundamental diagram of various partial compactifications of the ...
At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures wi...