Symmetric products of a semistable degeneration of surfaces

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    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
    Publication statusAccepted/In press - 2017 Dec 26


    ASJC Scopus subject areas

    • Mathematics(all)

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