Imposing Singular Points and Many Nodes to Curves on Surfaces |
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Authors: | Edoardo Ballico Luca Chiantini |
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Institution: | (1) Università di Trento, Povo, Italy, IT;(2) Università di Siena, Italy, IT |
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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 τ when most of connected components of τ 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.
Received 6 July 2000; in revised form 16 June 2001 |
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Keywords: | 2000 Mathematics Subject Classification: 14B05 14H20 |
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