17 citations · 32 across the 14 of their papers we have counts for
23 papers · 1 filter
Gauß-Manin connection and Tannaka duality
Hélène Esnault, Phùng Hô Hai
In analogy with the étale fundamental groups, we express the Gauß-Manin connection for in Tannaka terms. One difficulty is that unlike for fundamental groups, the Tannaka gro…
Künneth projectors for open varieties
Spencer Bloch, Hélène Esnault
We consider correspondences on smooth quasiprojective varieties . An algebraic cycle inducing the Künneth projector onto is constructed. Assuming normal crossings at in…
Variation on Artin's vanishing theorem
Hélène Esnault
We give a proof of Artin's vanishing theorem in characteristic zero, based on Deligne's Riemann-Hilbert correspondence. Just as a curiosity.
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…
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…