The degree of the bicanonical map of a surface with $p_g=0$

dc.creatorLopes, Margarida Mendes
dc.creatorPardini, Rita
dc.date2005-05-11
dc.date2006-02-14
dc.date.accessioned2026-07-07T06:39:56Z
dc.date.available2026-07-07T06:39:56Z
dc.descriptionIn this note it is shown that, given a smooth minimal complex surface of general type S with p_g(S)=0, K^2_S=3, for which the bicanonical map is a morphism, then the degree of the bicanonical map of S is not equal to 3. This completes our earlier results, showing that if X is a minimal surface of general type with p_g=0, K^2>=3 such that |2K_X| is free, then the bicanonical map of X can have degree 1, 2 or 4.
dc.descriptionFinal version to appear in Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/math/0505231
dc.identifierhttp://arxiv.org/abs/math/0505231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101263
dc.subjectAlgebraic Geometry
dc.subject14J29
dc.titleThe degree of the bicanonical map of a surface with $p_g=0$
dc.typetext

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