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Open Problem: Determine the ideal defining Sec4
 

Summary: Open Problem:
Determine the ideal defining Sec4
(P3
P3
P3
).
(Here Sec4
(V ) means the closure of the union of 3-dimensional secant spaces determined by 4 points on V .)
Reward:
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).
Motivation:
The particular interest in Sec4
(P3
P3
P3
) arises from molecular phylogenetics [AR07b], in which DNA
sequences are used to infer evolutionary trees describing the descent of species from a common ancestor.
Ancestor

  

Source: Allman, Elizabeth S. - Department of Mathematical Sciences, University of Alaska Fairbanks

 

Collections: Mathematics