arXiv Analytics

Sign in

arXiv:1306.1854 [math.AG]AbstractReferencesReviewsResources

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

Edoardo Ballico, Luca Benzo, Claudio Fontanari

Published 2013-06-07, updated 2014-08-27Version 3

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.

Comments: final version, to appear in Bollettino dell'Unione Matematica Italiana
Categories: math.AG
Subjects: 14H10, 14H51
Related articles: Most relevant | Search more
arXiv:1304.5840 [math.AG] (Published 2013-04-22)
Nodal curves and components of the Hilbert scheme of curves in $\mathbb {P}^r$ with the expected number of moduli
arXiv:0905.2229 [math.AG] (Published 2009-05-14, updated 2013-10-23)
Tautological module and intersection theory on Hilbert schemes of nodal curves
arXiv:math/0503496 [math.AG] (Published 2005-03-23, updated 2006-02-14)
Derived categories of irreducible projective curves of arithmetic genus one