We use a new idea to construct a theory of iterated Coleman functions on overconvergent
spaces with good reduction in any dimension. A Coleman function in this theory consists of a …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

This informal article is an expanded version of two lectures given in Padova during the
“Dwork Trimester” in June 2001. Their goal was to explain the proof of the p-adic …

We describe an algorithm to compute the local Coleman-Gross p-adic height at p on a
hyperelliptic curve. Previously, this was only possible using an algorithm due to …

In this paper, we study the unipotent completion [special characters omitted](x 0, x 1, XK) of
the de Rham fundamental groupoid [De] of a smooth algebraic variety over a local non …

Nous calculons la cohomologie étale géométrique p-adique des revêtements du demi-plan
de Drinfeld, et, dans le cas où le corps de base est Qp, montrons qu'elle réalise la …

Let F (x, y)∈ Z [x, y] be a homogenous polynomial of degree n, assumed to have unit
content. Let h∈ Z be such that the polynomial hzn− F (x, y) is irreducible in Q [x, y, z]. We …

The Manin–Mumford conjecture asserts that if K is a field of characteristic zero, C a smooth
proper geometrically irreducible curve over K, and J the Jacobian of C, then for any …

Let C be a smooth projective absolutely irreducible curve of genus g≥ 2 over a number field
K of degree d, and let J denote its Jacobian. Let r denote the Mordell–Weil rank of J (K). We …

Let C be a smooth projective absolutely irreducible curve of genus g≥ 2 over a number field
K, and denote its Jacobian by J. Let d≥ 1 be an integer and denote the d-th symmetric …