17 citations · 24 across the 4 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties
Spencer Bloch, Hélène Esnault
This is meant to be a survey article for the Cubo Journal. We discuss the existence and number of rational points over a finite field, the Hodge type over the complex numbers, and…
The additive dilogarithm
Spencer Bloch, Hélène Esnault
We define an additive version of the Bloch group of a field, together with an additive dilogarithm and an Artin-Schreier realization.
An additive version of higher Chow groups
Spencer Bloch, Hélène Esnault
The cosimplicial scheme $$Delta^bullet = Δ^0 smallmatrix \to smallmatrix Δ^1 smallmatrix to smallmatrix ...;\quad Δ^n :=\Spec\Big(k[t_0,...c,t_n]/(\sum t_i -t)\Big)$$ was used in B…