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On The Pluricanonical Degree Of Gorenstein Threefolds Of General Type

Posted on:2019-06-17Degree:MasterType:Thesis
Country:ChinaCandidate:W W XuanFull Text:PDF
GTID:2370330566960551Subject:Basic mathematics
Abstract/Summary:
The classification of algebraic varieties is a research priority in algebraic geometry,and the study of the pluricanonical maps of complex projective varieties of general type is very important to the classification of algebraic varieties,so we keep our focus on the pluricanonical maps of Gorenstein threefolds of general type here.Let X be a Gorenstein minimal complex projective 3-fold with at worst locally factorial terminal singularities.Suppose that the pluricanonical maps are generically finite onto its image.Then the pluricanonical degrees are universally bounded by 16.Moreover,we prove that the pluricanonical maps cannot be an abelian cover over P3。...
Keywords/Search Tags:Gorenstein threefold, Locally factorial terminal singularities, Pluricanonical maps, Pluricanonical degree, Abelian cover
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