Luca Benzo

activity

20122015

most citedUniruledness of some moduli spaces of stable pointed curves

10 citations · 18 across the 5 of their papers we have counts for

collaborators

6 papers

math.AG2015

On large theta-characteristics with prescribed vanishing

Edoardo Ballico, Francesco Bastianelli, Luca Benzo

Let $C$ be a smooth projective curve of genus $g \geq 2$ . Fix an integer $r \geq 0$ , and let $k = (k_{1}, \dots, k_{n})$ be a sequence of positive integers with $k_1+\ldots+k_n=…

math.AG2015

Components of moduli spaces of spin curves with the expected codimension II

Luca Benzo

We prove that for all integers $r \geq 2$ and $g \geq ⌊ \frac{r ^{2} + 10 r + 1}{4} ⌋$ there exists a component of the locus $S_{g}^{r}$ of spin curves with a theta chara…

math.AG2013★ 2 cited

Components of moduli spaces of spin curves with the expected codimension

Luca Benzo

We prove a conjecture of Gavril Farkas claiming that for all integers r \geq 2 and g \geq \binom{r+2}{2} there exists a component of the locus \mathcal{S}^r_g of spin curves with a…

math.AG2013★ 5 cited

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

Edoardo Ballico, Luca Benzo, Claudio Fontanari

Let V^{r}_{d,g, δ} be the Hilbert scheme of nodal curves in P^r of degree d and arithmetic genus g with δnodes. Under suitable numerical assumptions on d and g, for every 0 \le δ\l…

math.AG2012★ 1 cited

Rational curves on \bar{M}_g and K3 surfaces

Luca Benzo

Let $(S, L)$ be a smooth primitively polarized K3 surface of genus $g$ and $f : X \to P^{1}$ the fibration defined by a linear pencil in $∣ L ∣$ . For $f$ general and $g \…

math.AG2012★ 10 cited

Uniruledness of some moduli spaces of stable pointed curves

Luca Benzo

We prove uniruledness of some moduli spaces $M ˉ_{g, n}$ of stable curves of genus $g$ with $n$ marked points using linear systems on nonsingular projective surfaces containing…