On the Hilbert function of general unions of a non-special curve and
a rational curvein \mathbb{P}^4
Edoardo Ballico
Dept. of Mathematics, University of Trento, 38123 Povo (TN), Italy
Pages 262–271 | Received 23 June 2023, Accepted 29 August 2023, Published 11 December 2023
Abstract
We study the Hilbert function of general unions of non-special embeddings of general curves in projective spaces, mostly in \mathbb{P}^4, the case of a general non-special curve of prescribed degree and genus and a rational curve of prescribed degree. We discuss several examples and suggest some extensions.
Keywords: curve in projective spaces; postulation; Hilbert scheme; Hilbert function.
MSC numbers: 14H50.
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