Canonical Geometrically Ruled Surfaces

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We prove the existence of canonical scrolls; that is, scrolls playing the role of canonical curves. First of all, they provide the geometrical version of Riemann Roch Teorem: any special scroll is the projection of a canonical scroll and they allow to understand the classification of special scrolls in P3. Canonical scrolls correspond to the projective model of canonical geometrically ruled surfaces over a smooth curve. We also prove that the generic canonical scroll is projectively normal except in the hyperelliptic case and for very particular cases in the nonhyperelliptic situation.
Latex2.09; 32 pages

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Algebraic Geometry, Primary, 14J26; Secondary, 14H25, 14H45

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http://salesiana.dossiersoluciones.com/handle/123456789/61859

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107114
 http://arxiv.org/abs/math/0107114

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arXiv