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arXiv · 1306.1854

Families of nodal curves in P^r with the expected number of moduli

Edoardo Ballico·Luca Benzo·Claudio Fontanari
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Abstract

Let V^{r}_{d,g, \delta} be the Hilbert scheme of nodal curves in P^r of degree d and arithmetic genus g with \delta nodes. Under suitable numerical assumptions on d and g, for every 0 \le \delta \le g we construct an irreducible component of V^{r}_{d,g, \delta} having the expected number of moduli.

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Edoardo Ballico, Luca Benzo, Claudio Fontanari. 2013-06-07. Families of nodal curves in P^r with the expected number of moduli. https://doi.org/10.1007/s40574-014-0009-6

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