2006/10/22 by Pierre-Vincent Koseleff, Daniel Pecker, Koseleff, Pierre-Vincent +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.math/0610663
11 p. accepted for publication in Journal of Knot Theory and Ramifications
arxiv created 2007/10/19 · arxiv updated 2011/11/09
We show that no torus knot of type (2,n), n>3 odd, can be obtained from a polynomial embedding t ↦ (f(t), g(t), h(t)) where (°(f),°(g))≤ (3,n+1) . Eventually, we give explicit examples with minimal lexicographic degree.