Homogeneous interpolation and some continued fractions
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- by Ivan Petrakiev HTML | PDF
- Trans. Amer. Math. Soc. Ser. B 1 (2014), 23-44
Abstract:
We prove: if $d/m < 2280/721$, there is no curve of degree $d$ passing through $n=10$ general points with multiplicity $m$ in $\textbf {P}^2$. Similar results are given for other special values of $n$. Our bounds can be naturally written as certain palindromic continued fractions.References
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Additional Information
- Ivan Petrakiev
- Affiliation: Jersey City, New Jersey
- MR Author ID: 840669
- Email: ivan.petrakiev@gmail.com
- Received by editor(s): December 12, 2012
- Received by editor(s) in revised form: November 15, 2013
- Published electronically: March 3, 2014
- © Copyright 2014 by the author under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Trans. Amer. Math. Soc. Ser. B 1 (2014), 23-44
- MSC (2010): Primary 14C20; Secondary 14J26, 14N05
- DOI: https://doi.org/10.1090/S2330-0000-2014-00001-0
- MathSciNet review: 3171767
Dedicated: Dedicated to Professor Joe Harris on his 60th birthday