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arXiv · 1609.02306

Symmetric products of a semistable degeneration of surfaces

Yasunari Nagai
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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.

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Yasunari Nagai. 2016-09-08. Symmetric products of a semistable degeneration of surfaces. https://arxiv.org/abs/1609.02306

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