(Ir)reducibility

Martin Guest, Claus Hertling

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    A pair (H, ∇), where H → M is a holomorphic vector bundle on a complex manifold M, and ∇ is a (flat) meromorphic connection, is said to be reducible if there exists a subbundle G ⊂ H with 0 < rank G < rank H which is (at all nonsingular points of the connection) a flat subbundle. Such a G will simply be called a flat subbundle. A pair (H, ∇) is completely reducible if it decomposes into a sum of flat rank 1 subbundles.

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Pages33-36
    Number of pages4
    Volume2198
    DOIs
    Publication statusPublished - 2017

    Publication series

    NameLecture Notes in Mathematics
    Volume2198
    ISSN (Print)0075-8434

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    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Guest, M., & Hertling, C. (2017). (Ir)reducibility. In Lecture Notes in Mathematics (Vol. 2198, pp. 33-36). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_3