Pentes des fibrés vectoriels adéliques sur un corps global

Details Pentes des fibrés vectoriels adéliques sur un corps global Pentes des fibrés vectoriels adéliques sur un corps global

2006-05-15

arxiv.org/abs/math/0605408v2

Rendiconti del Seminario Matematico della Universit\`a di Padova 119 (2008) 21-95

Mathematics

Number Theory

51 pages

Scientific paper

At the end of the twentieth century, J.-B. Bost developped a slope theory of hermitian vector bundles over number fields. A new method of diophantine approximation, the so-called slope method, has emerged from his research. Our article proposes a generalisation to adelic vector bundles over global fields. The norms at the archimedean places are no longer supposed to be hermitian. The link with adelic successive minima is also mentioned. To get these results, we use several concepts from the geometry of finite dimensional Banach spaces.

Affiliated with

Also associated with

No associations

Rating

Pentes des fibrés vectoriels adéliques sur un corps global does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pentes des fibrés vectoriels adéliques sur un corps global, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pentes des fibrés vectoriels adéliques sur un corps global will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621750