Homogeneous Interpolation and Some Continued Fractions

2012/11/27 by Petrakiev, Ivan · 1 citation
#14N05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14C20 #Secondary 14J26

paper · doi:10.48550/arxiv.1211.6380

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 \bfP². Similar results are given for other special values of n. Our bounds can be naturally written as certain palindromic continued fractions.

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