The cohomological support locus of pluri‐canonical sheaves and the Iitaka fibration | Zendy

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The cohomological support locus of pluri‐canonical sheaves and the Iitaka fibration

Author(s) -

Zhang Lei

Publication year - 2014

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdu042

Subject(s) - fibration , mathematics , locus (genetics) , pure mathematics , canonical bundle , biochemistry , homotopy , gene , chemistry

Letalb X : X → Alb ( X )be the Albanese map of a smooth projective variety and f : X → Y the fibration arising from the Stein factorization of alb X . For a positive integer m , if f and m satisfy two certain assumptions AS(1, 2), then the translates through the origin of all components of cohomological locusV 0 ( ω X m , alb X ) ⊂ Pic 0 ( X )generateI ∗ Pic 0 ( S ) , where I : X → S denotes the Iitaka fibration. As an application, we study pluri‐canonical maps.

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