On projective curves of maximal regularity |
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| Authors: | Markus Brodmann Peter Schenzel |
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| Institution: | 1.Universit?t Zürich, Institut für Mathematik, Winterthurer Str. 190, 8057 Zürich, Switzerland (e-mail: brodmann@math.unizh.ch),CH;2.Martin-Luther-Universit?t Halle-Wittenberg, Fachbereich Mathematik und Informatik, 06 099 Halle (Saale), Germany (e-mail: schenzel@informatik.uni-halle.de),DE |
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| Abstract: | Let 𝒞⊆ℙ
r
K
be a non-degenerate projective curve of degree d>r+1 of maximal regularity so that 𝒞 has an extremal secant line . We show that 𝒞∪ is arithmetically Cohen Macaulay if d<2r−1 and we study the Betti numbers and the Hartshorne-Rao module of the curve 𝒞.
Received: 27 March 2002; in final form: 24 May 2002 /
Published online: 1 April 2003
Mathematics Subject Classification (1991): 14H45, 13D02.
The second author was partially supported by Swiss National Science Foundation (Projects No. 20-52762.97 and 20-59237.99). |
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