On the maximum rank of a real binary form

Details On the maximum rank of a real binary form On the maximum rank of a real binary form

2010-06-26

arxiv.org/abs/1006.5127v1

Mathematics

Algebraic Geometry

To appear in Annali di Matematica Pura ed Applicata

Scientific paper

We show that a real homogeneous polynomial f(x,y) with distinct roots and degree d greater or equal than 3 has d real roots if and only if for any (a,b) not equal to (0,0) the polynomial af_x+bf_y has d-1 real roots. This answers to a question posed by P. Comon and G. Ottaviani, and shows that the interior part of the locus of degree d binary real binary forms of rank equal to d is given exactly by the forms with d real roots.

Affiliated with

Also associated with

No associations

Rating

On the maximum rank of a real binary form does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the maximum rank of a real binary form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the maximum rank of a real binary form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525687