A note on the variety of plane curves with nodes and cusps
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- by Pyung-Lyun Kang PDF
- Proc. Amer. Math. Soc. 106 (1989), 309-312 Request permission
Abstract:
Let ${\mathbb {P}^N}$ be the projective space of all degree $d$ plane curves and $V(d,\delta ,\kappa )$ the subvariety of ${\mathbb {P}^N}$ consisting of all reduced and irreducible curves with $\delta$ notes and $\kappa$ cusps. Then $V(d,\delta ,\kappa )$ is irreducible if $\kappa \leq \frac {1}{2}(d + 1) - g$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 309-312
- MSC: Primary 14H10; Secondary 14H20
- DOI: https://doi.org/10.1090/S0002-9939-1989-0952316-3
- MathSciNet review: 952316