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Relevant Articles for Experimental Project on Schubert Calculus

 



Shapiro Conjecture

A. Eremenko, A. Gabrielov. Elementary proof of the B. and M. Shapiro conjecture for rational functions
E. Mukhin, V. Tarasov, A. Varchenko. The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
(supposedly contains a proof of the Shapiro Conjecture).





Schubert Calculus

F. Ronga. Schubert Calculus according to Schubert















Enumerative Real Algebraic Geometry

F. Sottile. Enumerative real algebraic geometry.




















 
 
Chris Hillar

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Books: Cox, Little, O'Shea. Ideals varieties and algorithms Greuel, Pfister. A Singular Introduction to Commutative Algebra Articles: Sottile. The conjectures of Shapiro and Shapiro (web article) Sottile, Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and Shapiro, Experimental Mathematics, 9, No. 2 (2000), 161-182. Sottile. Enumerative Real Algebraic Geometry (web article) Ruffo, Sivan, Soprunova, Sottile, Experimentation and conjectures in the real Schubert calculus for flag manifolds, Experimental Mathematics, 15, No. 2 (2006), 199-221.