3 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
Surjectivity of Gaussian maps for curves on Enriques surfaces
A. L. Knutsen, A. F. Lopez
Making suitable generalizations of known results we prove some general facts about Gaussian maps. The above are then used, in the second part of the article, to give a set of condi…
A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
A. L. Knutsen, A. F. Lopez
Let be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for that, unlike most vanishing theorems, gives necessary and sufficient geometrical cond…
Focal loci of families and the genus of curves on surfaces
L. Chiantini, A. F. Lopez
In this article we apply the classical method of focal loci of families to give a lower bound for the genus of curves lying on general surfaces. First we translate and reprove Xu's…
Subvarieties of generic hypersurfaces in any variety
L. Chiantini, A. F. Lopez, Z. Ran
Let W be a projective variety of dimension n+1, L a free line bundle on W, X in a hypersurface of degree d which is generic among those given by sums of monomials from $…