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The p-cohomology of algebraic varieties and special values of zeta functions
zeta functions algebraic varieties
2015/12/10
The p-cohomology of an algebraic variety in characteristic p lies naturally in the
category Db
c
.R/ of coherent complexes of graded modules over the Raynaud ring
(Ekedahl-Illusie-Raynaud). We stu...
THE STABLE BERNSTEIN CENTER AND TEST FUNCTIONS FOR SHIMURA VARIETIES
function BERNSTEIN CENTER
2015/9/29
We elaborate the theory of the stable Bernstein center of a p-adic group G,
and apply it to state a general conjecture on test functions for Shimura varieties due to
the author and R. Kottwitz. This...
Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties
Motivic zeta functions degenerations of abelian varieties Calabi-Yau varieties
2011/2/25
Let f ∈ Z[x1, . . . , xn] be a non-constant polynomial, and let p be a prime. Igusa’s p-adic zeta function Zp f (s) is a meromorphic function on the complex plane that encodes the number of solutions ...
Betti numbers of toric varieties and eulerian polynomials
Betti numbers of toric varieties eulerian polynomials
2010/12/3
It is well-known that the Eulerian polynomials, which count permutations in Sn by their number of descents, give the h-polynomial/h-vector of the simple polytopes known as permutohedra, the convex hul...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...