Witt groups and torsion Picard groups of smooth real curves
Algebraic Geometry
2007-05-23 v1
Abstract
The Witt group of a smooth curve over a real closed field is explicitely calculated. The method uses a comparison theorem between the graded Witt group and the etale cohomology groups. In the second part of the paper, the torsion Picard group of a smooth real curve is also computed. The calculation depends on a new invariant introduced here. We prove that several problems of real algebraic geometry are related to this invariant.
Keywords
Cite
@article{arxiv.math/0005244,
title = {Witt groups and torsion Picard groups of smooth real curves},
author = {J-P. Monnier},
journal= {arXiv preprint arXiv:math/0005244},
year = {2007}
}
Comments
24 pages