Symmetric products of a semistable degeneration of surfaces

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.

arXiv comment§4 is revised. It contains also many minor revisions

References in corpus (1)

• Gulbrandsen-Halle-Hulek degeneration and Hilbert-Chow morphism

Cited by in corpus (1)

• Gulbrandsen-Halle-Hulek degeneration and Hilbert-Chow morphism