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Rank two vector bundles with canonical determinant
Author(s) -
Teixidor i Bigas Montserrat
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310138
Subject(s) - mathematics , vector bundle , rank (graph theory) , locus (genetics) , combinatorics , pure mathematics , dimension (graph theory) , genus , zoology , chemistry , biochemistry , gene , biology
Denote by B k 2, K the locus of vector bundles of rank two that have canonical determinant and at least k sections. We show that for a generic curve of genus g , B k 2, K is non‐empty and has a component of the expected dimension if g is sufficiently large. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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