Summary: Open Problem:
Determine the ideal defining Sec4
(V ) means the closure of the union of 3-dimensional secant spaces determined by 4 points on V .)
At the IMA workshop in March 2007, I offered a reward for a solution to this problem -- an Alaskan
speciality: smoked Copper river salmon. With pleasure, I will personally catch, smoke, and send Alaskan
salmon to the solver(s).
The particular interest in Sec4
) arises from molecular phylogenetics [AR07b], in which DNA
sequences are used to infer evolutionary trees describing the descent of species from a common ancestor.