Degenerations of Symmetric Products of Curves
نویسنده
چکیده
Denote C (d) ∆ the relative symmetric product of this family over ∆ , parameterizing effective divisors of degree d on fibres Ct for t 6= 0. We will construct a compactification H̃d of C (d) ∆ over ∆, such that H̃d has smooth total space and the fibre over t = 0 has simple normal crossing support. By studying the fibre over t = 0 of H̃d, we understand how the symmetric products of smooth curves degenerate as the curves degenerate to a nodal curve.
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