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- Centre National de la Recherche ScientifiqueFR105 papers
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9 papers · 2 filters
Integral Hodge conjecture for Fermat varieties
Enzo Aljovin, Hossein Movasati, Roberto Villaflor Loyola
We describe an algorithm which verifies whether linear algebraic cycles of the Fermat variety generate the lattice of Hodge cycles. A computer implementation of this confirms the i…
Algebraically hyperbolic manifolds have finite automorphism groups
Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky
A projective manifold is algebraically hyperbolic if there exists a positive constant such that the degree of any curve of genus on is bounded from above by $A(g-1)…
On graphs of Hecke operators
Roberto Alvarenga
The graph of a Hecke operator encodes all information about the action of this operator on automorphic forms. Let be a curve over , its function field and $\m…
Rigid hyperholomorphic sheaves remain rigid along twistor deformations of the underlying hyparkahler manifold
Eyal Markman, Sukhendu Mehrotra, Misha Verbitsky
Let S be a K3 surface and M a smooth and projective 2n-dimensional moduli space of stable coherent sheaves on S. Over M x M there exists a rank 2n-2 reflexive hyperholomorphic shea…
Periods of linear algebraic cycles
Hossein Movasati, Roberto Villaflor Loyola
In this article we use a theorem of Carlson and Griffiths and compute periods of linear algebraic cycles inside the Fermat variety of even dimension and degree . As an appli…
Varieties of sums of powers and moduli spaces of (1,7)-polarized abelian surfaces
Michele Bolognesi, Alex Massarenti
We study the geometry of some varieties of sums of powers related to the Klein quartic. This allows us to describe the birational geometry of certain moduli spaces of abelian surfa…