The relative pluricanonical stability for 3-folds of general type

dc.creatorChen, Meng
dc.date1999-02-06
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:27:50Z
dc.date.available2026-07-07T05:27:50Z
dc.descriptionThis paper aims to improve a theorem of Janos Kollar. For a given Complex projective threefold X of general type, suppose the plurigenus p_k(X)\ge 2, Kollar proved that the (11k+5)-canonical map is birational. Here we show that either the (7k+3)-canonical map or the (7k+5)-canonical map is birational and that the m-canonical map is stably birational for m\ge 13k+6. If P_k(X)\ge 3, then the m-canonical map is stably birational for m\ge 10k+8. In particular, the 12-canonical map is birational when p_g(X)\ge 2 and the 11-canonical map is birational when p_g(X)\ge 3.
dc.description11 pages, new version, Amstex, to appear in Proceedings AMS
dc.identifierhttps://arxiv.org/abs/math/9902047
dc.identifierhttp://arxiv.org/abs/math/9902047
dc.identifierProc. Amer. Math. Soc. 129(2001), no.7, 1927-1937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78070
dc.subjectAlgebraic Geometry
dc.titleThe relative pluricanonical stability for 3-folds of general type
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