Open Access
March 2003 The existence of plane curves with prescribed singularities
Tomokazu Kawahara
Proc. Japan Acad. Ser. A Math. Sci. 79(3): 53-58 (March 2003). DOI: 10.3792/pjaa.79.53

Abstract

By improving the vanishing theorem of Hirschowitz, we prove an existence theorem of the reduced irreducible plane curve with ordinary singularities at given points in general position, which improves an earlier result by Greuel, Lossen and Shustin.

Citation

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Tomokazu Kawahara. "The existence of plane curves with prescribed singularities." Proc. Japan Acad. Ser. A Math. Sci. 79 (3) 53 - 58, March 2003. https://doi.org/10.3792/pjaa.79.53

Information

Published: March 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1046.14033
MathSciNet: MR1967046
Digital Object Identifier: 10.3792/pjaa.79.53

Subjects:
Primary: 14Q10
Secondary: 14C20 , 14F17

Keywords: base condition , linear system , plane curve , singularity

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 3 • March 2003
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