Witt groups and torsion Picard groups of smooth real curves

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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.
24 pages

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Algebraic Geometry, 14P99; 14C22; 11E25

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http://salesiana.dossiersoluciones.com/handle/123456789/59276

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005244
 http://arxiv.org/abs/math/0005244

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arXiv