Dario Faro

collaborators

4 papers

math.AG2026

Ramification of the moduli map for hyperplane sections of K3s and hypersurfaces

Dario Faro, Frank Gounelas

Finiteness and injectivity of the moduli morphisms $μ_{n} : ∣ n H ∣_{sm} \to M_{g_{n}}$ associated with linear systems on K3 surfaces are understood in many cases. In this…

math.AG2026

Remarks on the positivity of the cotangent bundle of an Enriques surface

Dario Faro

Let $S$ be a very general Enriques surface. In this paper we show that $Ω_{S} ∣_{C}$ is semistable for a general curve $C \in ∣ H ∣$ , where $H$ is an effective line bundle on $S$ . Moreo…

math.AG2024

Higher Gaussian maps for special classes of curves

Dario Faro, Paola Frediani, Antonio Lacopo

In this paper we study higher Gaussian (or Wahl) maps for the canonical bundle of certain smooth projective curves. More precisely, we determine the rank of higher Gaussian maps of…

math.AG2024

Higher Gaussian maps on the hyperelliptic locus and second fundamental form

Dario Faro, Paola Frediani, Antonio Lacopo

In this paper we study higher even Gaussian maps of the canonical bundle on hyperelliptic curves and we determine their rank, giving explicit descriptions of their kernels. Then we…