Witt groups and torsion Picard groups of smooth real curves

Details Witt groups and torsion Picard groups of smooth real curves Witt groups and torsion Picard groups of smooth real curves

2000-05-24

arxiv.org/abs/math/0005244v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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.

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