Symmetric products of a semistable degeneration of surfaces

    Research output: Contribution to journalArticle

    Abstract

    We explicitly construct a V-normal crossing Gorenstein canonical model of the relative symmetric products of a local semistable degeneration of surfaces without a triple point by means of toric geometry. Using this model, we calculate the stringy E-polynomial of the relative symmetric product. We also construct a minimal model of degeneration of Hilbert schemes explicitly.

    Original languageEnglish
    Pages (from-to)1-26
    Number of pages26
    JournalMathematische Zeitschrift
    DOIs
    Publication statusAccepted/In press - 2017 Dec 26

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    Symmetric Product
    Degeneration
    Canonical Model
    Triple Point
    Hilbert Scheme
    Gorenstein
    Minimal Model
    Calculate
    Polynomial
    Model

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Symmetric products of a semistable degeneration of surfaces. / Nagai, Yasunari.

    In: Mathematische Zeitschrift, 26.12.2017, p. 1-26.

    Research output: Contribution to journalArticle

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