Projective modules over the real algebraic sphere of dimension 3

Jean Fasel
2010
Article

Résumé

Let A be a commutative noetherian ring of Krull dimension 3. We give a necessary and sufficient condition for A-projective modules of rank 2 to be free. Using this, we show that all the finitely generated projective modules over the algebraic real 3-sphere are free. (C) 2010 Elsevier Inc. All rights reserved.

Source officielle

https://infoscience.epfl.ch/record/172124?ln=fr

À propos de ce résultat

Cette page est générée automatiquement et peut contenir des informations qui ne sont pas correctes, complètes, à jour ou pertinentes par rapport à votre recherche. Il en va de même pour toutes les autres pages de ce site. Veillez à vérifier les informations auprès des sources officielles de l'EPFL.

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Projective modules over the real algebraic sphere of dimension 3

Correspondence functors and duality

The multivariate Serre conjecture ring

Moments of the number of points in a bounded set for number field lattices

Correspondence functors and duality

Moments of the number of points in a bounded set for number field lattices

The multivariate Serre conjecture ring