Symmetric products of a semistable degeneration of surfaces

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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)1143-1168
Number of pages26
JournalMathematische Zeitschrift
Volume289
Issue number3-4
DOIs
Publication statusPublished - 2018 Aug 1

ASJC Scopus subject areas

  • Mathematics(all)

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