Scalar product of Dirichlet series and the distribution of integer points on toric varieties.
Simple conditions on conic varieties.
Singular foliations of toric type
Stabilization of monomial maps in higher codimension
A monomial self-map on a complex toric variety is said to be -stable if the action induced on the -cohomology is compatible with iteration. We show that under suitable conditions on the eigenvalues of the matrix of exponents of , we can find a toric model with at worst quotient singularities where is -stable. If is replaced by an iterate one can find a -stable model as soon as the dynamical degrees of satisfy . On the other hand, we give examples of monomial maps , where this condition...
Stably rational algebraic tori
The rationality of a stably rational torus with a cyclic splitting field is proved.
Stratification theory from the Newton polyhedron point of view
Recently, T. Fukui and L. Paunescu introduced a weighted version of the -regularity condition and Kuo’s ratio test condition. In this approach, we consider the - regularity condition and -regularity related to a Newton filtration.
Sur des variétés toriques non projectives
Sur la géométrie des variétés sphériques.