3 papers
math.AG2013
-modules associés aux courbes hyperelliptiques lisses
Christine Huyghe, Nathalie Wach
In 2003, Kedlaya gave an algorithm to compute the zeta function associated to a hyperelliptic curve over a finite field, by computing the rigid cohomology of the curve. Edixhoven r…
math.NT2009
Réalisations de Hodge des motifs de Voevodsky
Florence Lecomte, Nathalie Wach
Over a subfield of the field of complex numbers, the Hodge realization of a geometrical motive is defined and represented as the cohomology of a mixed Hodge DG-complex in the sense…
math.NT2007
Le complexe motivique de De Rham
Florence Lecomte, Nathalie Wach
Over a field of characteristic zero, we construct a De Rham motivic complex and generalize the De Rham cohomology of a smooth variety to any Voevodsky motive.