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september 2016 Curves of low positive genus and low degree on a general heptic hypersurface of $\mathbb {P}^5$
E. Ballico
Bull. Belg. Math. Soc. Simon Stevin 23(3): 439-464 (september 2016). DOI: 10.36045/bbms/1473186516

Abstract

We study the non-existence of smooth curves of low degree and low positive genus on a general heptic hypersurface of $\mathbb {P}^5$. The genus $0$ case was proved for the same degrees by Hana - Johnsen and Cotterill.

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E. Ballico. "Curves of low positive genus and low degree on a general heptic hypersurface of $\mathbb {P}^5$." Bull. Belg. Math. Soc. Simon Stevin 23 (3) 439 - 464, september 2016. https://doi.org/10.36045/bbms/1473186516

Information

Published: september 2016
First available in Project Euclid: 6 September 2016

zbMATH: 1356.14031
MathSciNet: MR3545463
Digital Object Identifier: 10.36045/bbms/1473186516

Subjects:
Primary: 14H50 , 14J32 , 14M10

Keywords: curves in a hypersurface , general hypersurface , heptic hypersurface

Rights: Copyright © 2016 The Belgian Mathematical Society

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Vol.23 • No. 3 • september 2016
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