Del Pezzo Moduli via Root Systems

E. Colombo, B. van Geemen, E.J.N. Looijenga

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    Coble defined in his 1929 treatise invariants for cubic surfaces and quartic curves. We reinterpret these in terms of the root systems of type E6 and E7 that are naturally associated to these varieties, thereby giving some of his results a more intrinsic treatment. Our discussion is uniform for all Del Pezzo surfaces of degree 2, 3, 4, and 5.
    Original languageEnglish
    Title of host publicationAlgebra, arithmetic, and geometry : in honor of Yu. I. Manin
    EditorsYuri Tschinkel, Yuri Zarhin
    Place of PublicationBoston [etc.]
    PublisherBirkhäuser
    Pages291-337
    Number of pages47
    DOIs
    Publication statusPublished - 2010

    Keywords

    • Mathematics
    • Landbouwwetenschappen
    • Natuurwetenschappen
    • Wiskunde: algemeen

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