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6 papers · 2 filters
A counterexample to the Hodge conjecture for Kaehler varieties
Claire Voisin
Summary: The Hodge conjecture asks whether rational Hodge classes on a smooth projective manifolds are generated by the classes of algebraic subsets, or equivalently by Chern class…
Appendix: On linear subspaces contained in the secant varieties of a projective curve
Claire Voisin
We show that the d-th secant variety of a projective curve of genus g imbedded in projective space by a complete linear system of degree 2g-2+m, with m at least 2d+3, does not cont…
Global geometrised Rankin-Selberg method for GL(n)
Sergey Lysenko
We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. We show that the geometric Langlands con…
Motivic integration on smooth rigid varieties and invariants of degenerations
F. Loeser, J. Sebag
We construct a theory of motivic integration for smooth rigid varieties. As an application new invariants of degenerations are obtained.
A fixed point formula of Lefschetz type in Arakelov geometry III: representations of Chevalley schemes and heights of flag varieties
Christian Kaiser, Kai Koehler
We give a new proof of the Jantzen sum formula for integral representations of Chevalley schemes over Spec Z. This is done by applying the fixed point formula of Lefschetz type in…
Sur la cohomologie de la puissance symetrique du fibre tautologique sur le schema de Hilbert ponctuel d'une surface
Gentiana Danila
We compute some cohomology spaces for the symmetric power of the tautological bundle tensor the determinant bundle on the punctual Hilbert scheme of a complex smooth projective sur…