Rational functions and real Schubert calculus

Authors:
A. Eremenko, A. Gabrielov, M. Shapiro and A. Vainshtein

Journal:
Proc. Amer. Math. Soc. **134** (2006), 949-957

MSC (2000):
Primary 14P05; Secondary 26C15

DOI:
https://doi.org/10.1090/S0002-9939-05-08048-2

Published electronically:
July 25, 2005

MathSciNet review:
2196025

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Abstract | References | Similar Articles | Additional Information

Abstract: We single out some problems of Schubert calculus of subspaces of codimension that have the property that all their solutions are real whenever the data are real. Our arguments explore the connection between subspaces of codimension and rational functions of one variable.

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Additional Information

**A. Eremenko**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067

Email:
eremenko@math.purdue.edu

**A. Gabrielov**

Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067

Email:
agabriel@math.purdue.edu

**M. Shapiro**

Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824

Email:
mshapiro@math.msu.edu

**A. Vainshtein**

Affiliation:
Department of Computer Science, University of Haifa, Mount Carmel, 31905 Haifa, Israel

Email:
alek@cs.haifa.ac.il

DOI:
https://doi.org/10.1090/S0002-9939-05-08048-2

Received by editor(s):
August 25, 2004

Received by editor(s) in revised form:
October 29, 2004

Published electronically:
July 25, 2005

Additional Notes:
The authors were supported by NSF grants DMS-0100512 and DMS-0244421 (A.E.), DMS-0200861 and DMS-0245628 (A.G.), and DMS-0401178 (M.S.); and by the BSF grant 2002375 (M.S. and A.V.) and by the Institute of Quantum Science, MSU (M.S.).

Communicated by:
John R. Stembridge

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.