On canonically derived families of surfaces of general type over curves

dc.creatorChen, Meng
dc.date2000-03-27
dc.date2001-03-01
dc.date.accessioned2026-07-07T04:34:28Z
dc.date.available2026-07-07T04:34:28Z
dc.descriptionSuppose X is a smooth projective 3-fold of general type and |mK_X| is composed of a pencil of surfaces with m>1. This pencil naturally induces a fibration f:X->C onto a smooth curve C after the Stein-factorization, which is the main objects of this article. Based on Koll'ar's earlier works, we improve on it and try to understand the family in terms of discrete birational invariants of the total space as well as those of the general fiber and the base curve. The aim of this note is to build a little bit basic facts.
dc.description19 pages, Amstex, Accepted for publication in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/math/0003173
dc.identifierhttp://arxiv.org/abs/math/0003173
dc.identifierComm. Algebra 29(2001), no.10, 4597-4618
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58911
dc.subjectAlgebraic Geometry
dc.titleOn canonically derived families of surfaces of general type over curves
dc.typetext

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