Some analogies between number theory and dynamical systems on foliated spaces.
On the -factors of motives. II.
Two-variable zeta functions and regularized products.
Duality in the Étale Cohomology of One-Dimensional Proper Schemes and Generalizations.
Local L-factors of motives and regularized determinants.
On the ...-factor attached to motives.
Lefschetz trace formulas and explicit formulas in analytic number theory.
l-adic Lefschetz numbers of arithmetic schemes.
On Artin-Verdier Duality for Function Fields.
An extension of Aritn-Verdier duality to non-torsion sheaves.
Higher regulators and Hecke L-series of imaginary quadratic fields I.
Higher order operations in Deligne cohomology.
On extensions of mixed motives.
In this article we give an introduction to mixed motives and sketch a couple of ways to construct examples.
Formal groups and L-series.
Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama
Vector bundles on p-adic curves and parallel transport
A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas
We construct a two dimensional foliation with dense leaves on the Heisenberg nilmanifold for which smooth leafwise Hodge decomposition does not hold. It is also shown that a certain type of dynamical trace formulas relating periodic orbits with traces on leafwise cohomologies does not hold for arbitrary flows.
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