Formal completion of the Jacobians of plane curves and higher real K-theories

Authors
Gorbounov, V Mahowald, M
Citation
V. Gorbounov et M. Mahowald, Formal completion of the Jacobians of plane curves and higher real K-theories, J PURE APPL, 145(3), 2000, pp. 293-308
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
145
Issue
3
Year of publication
2000
Pages
293 - 308
Database
ISI
SICI code
0022-4049(20000124)145:3<293:FCOTJO>2.0.ZU;2-Y
Abstract
In this note we will study the formal completion of the Jacobian of a certa in class of curves over p-adic rings. These curves generalize the Legendre family of elliptic curves. As an immediate application, we will describe th e representation which is crucial for calculating the initial term of the s pectral sequence, converging to the homotopy groups of the higher real K-th eories EOn. (C) 2000 Elsevier Science B.V. All rights reserved.