65 citations · 420 across the 91 of their papers we have counts for
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Local Fourier transforms and rigidity for D-modules
Spencer Bloch, Hélène Esnault
Local Fourier trnasforms, analogous to the -adic Fourier transforms, are constructed for connections over . Following a program of Katz, a meromorphic connection on a…
Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields
Hélène Esnault
If is an abelian variety over a field and is an invertible sheaf, we know that the degree of the 0-cycle is divisible by . As a 0-cycle, it is not, even over a fi…
Cohomological divisibility and point count divisibility
Hélène Esnault, Nicholas M. Katz
We show that Ax-Katz divisibility on the number of rational points of a variety defined over a finite field by equations of low degrees comes from divisibility of the eigenvalues o…
Eigenvalues of Frobenius acting on the -adic cohomology of complete intersections of low degree
Hélène Esnault
The eigenvalues of Frobenius acting on -adic cohomology of a complete intersection over a finite field have the divisibility predicted by the theorem of Ax and Katz. We have…
Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces
Spencer Bloch, Hélène Esnault, Marc Levine
Let be a possibly singular hypersurface of degree , defined over a finite field . We show that the diagonal, suitably interpreted, is decomposable. This g…