Let S be a smooth projective surface. Here we study the conditions imposed to curves of a fixed very ample linear system by a general union of types of singularities when most of connected components of are ordinary double points. This problem is related to the existence of ``good'' families of curves on S with prescribed singularities, most of them being nodes, and to the regularity of their Hilbert scheme.
Ballico, E., Chiantini, L. (2002). Imposing singular points and many nodes to curves on surfaces. MONATSHEFTE FÜR MATHEMATIK, 135, 89-96.
Imposing singular points and many nodes to curves on surfaces
CHIANTINI, LUCA
2002-01-01
Abstract
Let S be a smooth projective surface. Here we study the conditions imposed to curves of a fixed very ample linear system by a general union of types of singularities when most of connected components of are ordinary double points. This problem is related to the existence of ``good'' families of curves on S with prescribed singularities, most of them being nodes, and to the regularity of their Hilbert scheme.
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https://hdl.handle.net/11365/23254
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