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math.AG1999
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…
math.AG1999
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 $…