ANNALI DELL'UNIVERSITA' DI FERRARA

, Volume 63, Issue 2, pp 211–220 | Cite as

Remarks on the normal bundles of generic rational curves

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Abstract

In this note we give a different proof of Sacchiero’s theorem about the splitting type of the normal bundle of a generic rational curve. Moreover we discuss the existence and the construction of smooth monomial curves having generic type of the normal bundle.

Keywords

Generic rational curve Normal bundle Rational monomial curves 

Mathematics Subject Classification

Primary 14C05 Secondary 14H45 14N05 

Notes

Acknowledgements

we wish to thank the referee for the correction and the comments about the pulled back normal bundle \(f^{*}{\mathcal {N}}_{C}\) and for having implicitly stimulated us to prove Theorem 3.

References

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Copyright information

© Università degli Studi di Ferrara 2017

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversitá di MilanoMilanItaly
  2. 2.Dipartimento di MatematicaUniversitá di CataniaCataniaItaly

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