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math.AG2018
A note on Nikulin surfaces and their moduli spaces
Marco Ramponi
We study some natural linear systems carried by polarized Nikulin surfaces of genus g. We determine their positivity and establish their Brill-Noether theory. As an application, we…
math.AG2016★ 2 cited
Special divisors on curves on K3 surfaces carrying an Enriques involution
Marco Ramponi
We study the pencils of minimal degree on the smooth curves lying on a K3 surface X which carries a fixed-point free involution. Generically, the gonality of these curves is totall…
math.AG2015★ 2 cited
Gonality and Clifford index of curves on elliptic K3 surfaces with Picard number two
Marco Ramponi
We compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m).