Some lower bounds in the B. and M. Shapiro conjecture for flag varieties

Details Some lower bounds in the B. and M. Shapiro conjecture for flag varieties Some lower bounds in the B. and M. Shapiro conjecture for flag varieties

2010-06-03

arxiv.org/abs/1006.0664v2

Mathematics

Algebraic Geometry

21 pages, 6 figures, see also http://www.math.purdue.edu/~agabriel

Scientific paper

The B. and M. Shapiro conjecture stated that all solutions of the Schubert Calculus problems associated with real points on the rational normal curve should be real. For Grassmannians, it was proved by Mukhin, Tarasov and Varchenko. For flag varieties, Sottile found a counterexample and suggested that all solutions should be real under certain monotonicity conditions. In this paper, we compute lower bounds on the number of real solutions for some special cases of the B. and M. Shapiro conjecture for flag varieties, when Sottile's monotonicity conditions are not satisfied.

Affiliated with

Also associated with

No associations

Rating

Some lower bounds in the B. and M. Shapiro conjecture for flag varieties 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 Some lower bounds in the B. and M. Shapiro conjecture for flag varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some lower bounds in the B. and M. Shapiro conjecture for flag varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-513840