We prove an analogue in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.
The molecular and antigenic variabilities of BmpA (P39) among European isolates of Borrelia burgdorferi were analyzed. The bmpA sequences of 12 isolates representing all three species of B. burgdorferi sensu lato pathogenic for humans were amplified by PCR, cloned, and sequenced. The BmpA protein of Borrelia garinii is heterogeneous, with an amino acid… (More)
Infection with Borrelia garinii outer surface protein (Osp) A serotype 4 strains has been correlated with the development of neuroborreliosis in Lyme borreliosis patients in Europe. OspA serotype 4 isolates have been recovered primarily from human cerebrospinal fluid, suggesting a tropism for this environment. Previous studies with monoclonal antibodies… (More)
A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula / Une formule du point fixe de type Lefschetz en géométrie d'Arakelov II: une formule des résidus Abstract This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result [KR2, Th.… (More)
The Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski gave a different proof using model theory. His main result from model theory, when applied to abelian varieties, can be rephrased in terms of algebraic geometry. In this paper we prove that intervening result using classical algebraic geometry alone.… (More)
The generalized Mordell-Lang conjecture (GML) is the statement that the irreducible components of the Zariski closure of a subset of a group of finite rank inside a semi-abelian variety are translates of closed algebraic subgroups. In , M. McQuillan gave a proof of this statement. We revisit his proof, indicating some simplifications. This text contains… (More)
We study the v-adic distance from the torsion of a Drinfeld module to an affine variety.
An automatic procedure is presented to retrieve rupture parameters for large earthquakes along the Sunda arc subduction zone. The method is based on standard array analysis and broadband seismograms registered within 30 • – 100 • epicentral distance. No assumptions on source mechanism are required. By means of semblance the coherency of P waveforms is… (More)
We give a new proof of a slightly weaker form of a theorem of P. Colmez ([C2, Par. 2]). This theorem (Corollary 5.8) gives a formula for the Faltings height of abelian varieties with complex multiplication by a C.M. field whose Galois group over Q is abelian; it reduces to the formula of Chowla and Selberg in the case of elliptic curves. We show that the… (More)