Let G be a compact p-adic Lie group, with no element of order p, and having a closed normal subgroup H such that G/H is isomorphic to Zp. We prove the existence of a canonical Ore set Sâˆ— of non-zeroâ€¦ (More)

This paper is about computational questions regarding p-adic height pairings on elliptic curves over a global field K. The main stumbling block to computing them efficiently is in calculating, forâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1997

Let E be a modular elliptic curve over [symbol, see text], without complex multiplication; let p be a prime number where E has good ordinary reduction; and let Finfinity be the field obtained byâ€¦ (More)

We study the Selmer variety associated to a canonical quotient of the Qp-pro-unipotent fundamental group of a smooth projective curve of genus at least two defined over Q whose Jacobian decomposesâ€¦ (More)

Anecdotal evidence from those who work with homeless youth indicates that trauma permeates these young peopleâ€™s lives. This paper presents the findings from a study of 100 homeless youth regardingâ€¦ (More)

Analysis of stratigraphic sections typically consists of recognition and interpretation of lateral and vertical heterogeneities in sedimentary rock. Qualitatively, significant information is obtainedâ€¦ (More)

Introduction. Although it has occupied a central place in number theory for almost a century, the arithmetic of elliptic curves is still today a subject which is rich in conjectures, but sparse inâ€¦ (More)

The purpose of this short note is to clarify the relation between p-adic integration on curves with semistable reduction, and the filtered (Î¦, N)-module attached to the curve, following the work ofâ€¦ (More)