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- Centre National de la Recherche ScientifiqueFR105 papers
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7 papers · 2 filters
Motivic Zeta Functions on $\mathds{Q}$-Gorenstein Varieties
Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys +1
We study motivic zeta functions for $\mathds{Q}$-divisors in a $\mathds{Q}$-Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the loc…
Gauss-Manin connection in disguise: Genus two curves
Jin Cao, Hossein Movasati, Shing-Tung Yau
We describe an algebra of meromorphic functions on the Siegel domain of genus two which contains Siegel modular forms for an arithmetic index six subgroup of the symplectic group a…
Del Pezzo foliations with log canonical singularities
João Paulo Figueredo
In this paper, we classify del Pezzo foliations on projective manifolds of rank at least 3 and with log canonical singularities in the sense of McQuillan.
Deformations of noncompact Calabi--Yau manifolds, families and diamonds
E. Gasparim, F. Rubilar
We introduce a new notion of deformation of complex structure, which we use as an adaptation of Kodaira's theory of deformations, but that is better suited to the study of noncompa…
On reconstructing subvarieties from their periods
Hossein Movasati, Emre Can Sertöz
We give a new practical method for computing subvarieties of projective hypersurfaces. By computing the periods of a given hypersurface X, we find algebraic cohomology cycles on X.…
Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell
Stefan Kebekus, Jorge Vitório Pereira, Arne Smeets
Almost one decade ago, Poonen constructed the first examples of algebraic varieties over global fields for which Skorobogatov's etale Brauer-Manin obstruction does not explain the…