A note on a theorem of Xiao Gang

dc.creatorLopes, Margarida Mendes
dc.date2003-02-26
dc.date.accessioned2026-07-07T04:55:36Z
dc.date.available2026-07-07T04:55:36Z
dc.descriptionIn 1985 Xiao Gang proved that the bicanonical system of a complex surface $S$ of general type with $p_2(S)>2$ is not composed of a pencil [Bull. Soc. Math. France, 113 (1985), 23--51]. When in the end of the 80's it was finally proven that $| 2K_S|$ is base point free, whenever $p_g\geq 1$, the part of this theorem concerning surfaces with $p_g\geq 1$ became trivial. In this note a new proof of this theorem for surfaces with $p_g=0$ is presented.
dc.descriptionLatex, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0302321
dc.identifierhttp://arxiv.org/abs/math/0302321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66632
dc.subjectAlgebraic Geometry
dc.titleA note on a theorem of Xiao Gang
dc.typetext

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