Semipositive Bundles and Brill–Noether Theory | Zendy

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Semipositive Bundles and Brill–Noether Theory

Author(s) -

Muñoz Vicente,

Presas Francisco

Publication year - 2003

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609302001741

Subject(s) - mathematics , noether's theorem , vector bundle , pure mathematics , brill , holomorphic function , morphism , complex manifold , homotopy , unipotent , hyperplane , irreducibility , mathematics subject classification , manifold (fluid mechanics) , algebra over a field , combinatorics , lagrangian , mechanical engineering , philosophy , theology , engineering

A Lefschetz hyperplane theorem for the determinantal loci of a morphism between two holomorphic vector bundles E and F over a complex manifold is proved, under the condition that E * ⊗ F is Griffiths k ‐positive. This result is applied to find some homotopy groups of the Brill–Noether loci for a generic curve. 2000 Mathematics Subject Classification 32Q55, 14M12, 14H51.

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