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Stability of line bundle transforms on curves with respect to low codimensional subspaces
Author(s) -
Mistretta Ernesto C.
Publication year - 2008
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/jdn016
Subject(s) - line bundle , mathematics , linear subspace , bundle , pure mathematics , normal bundle , subspace topology , line (geometry) , kernel (algebra) , stability (learning theory) , vector bundle , mathematical analysis , geometry , computer science , composite material , materials science , machine learning
We show the stability of certain syzygies of line bundles on curves, which we call line bundle transforms. Furthermore, we prove the existence of reducible theta divisors for the transforms having integral slope. A line bundle transform is the kernel of the evaluation map on a subspace of the space of global sections.