Currently displaying 1 – 20 of 48

Showing per page

Order by Relevance | Title | Year of publication

Réseaux unimodulaires

Eva Bayer-Fluckiger — 1989

Journal de théorie des nombres de Bordeaux

Soit f un produit de polynômes cyclotomiques. Existe-t-il une forme bilinéaire symétrique entière, unimodulaire et définie positive ayant une isométrie de polynôme caractéristique f ? Ce travail donne une réponse partielle à cette question.

Cyclotomic modular lattices

Eva Bayer-Fluckiger — 2000

Journal de théorie des nombres de Bordeaux

Several interesting lattices can be realised as over cyclotomic fields : some of the root lattices, the Coxeter-Todd lattice, the Leech lattice, etc. Many of these are in the sense of Quebbemann. The aim of the present paper is to determine the cyclotomic fields over which there exists a modular ideal lattice. We then study an especially simple class of lattices, the ideal lattices of . The paper gives a complete list of modular ideal lattices of trace type defined on cyclotomic fields.

Isometries of quadratic spaces

Eva Bayer-Fluckiger — 2015

Journal of the European Mathematical Society

Let k be a global field of characteristic not 2, and let f k [ X ] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the completions of k . This gives a partial answer to a question of Milnor.

Page 1 Next

Download Results (CSV)