Cohomologie -adique pour la fonction
Comparaison entre la cohomologie algébrique et la cohomologie -adique rigide à coefficients dans un nodule différentiel
Una funzione intera -adica a valori interi
Equazioni differenziali -adiche e interpolazione -adica di formule classiche
We shortly introduce non-archimedean valued fields and discuss the difficulties in the corresponding theory of analytic functions. We motivate the need of -adic cohomology with the Weil Conjectures. We review the two most popular approaches to -adic analytic varieties, namely rigid and Berkovich analytic geometries. We discuss the action of Frobenius in rigid cohomology as similar to the classical action of covering transformations. When rigid cohomology is parametrized by twisting characters,...
Points singuliers d'équations différentielles
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