Rational functions and real Schubert calculus
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- by A. Eremenko, A. Gabrielov, M. Shapiro and A. Vainshtein PDF
- Proc. Amer. Math. Soc. 134 (2006), 949-957 Request permission
Abstract:
We single out some problems of Schubert calculus of subspaces of codimension $2$ that have the property that all their solutions are real whenever the data are real. Our arguments explore the connection between subspaces of codimension $2$ and rational functions of one variable.References
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Additional Information
- A. Eremenko
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
- MR Author ID: 63860
- Email: eremenko@math.purdue.edu
- A. Gabrielov
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
- MR Author ID: 335711
- Email: agabriel@math.purdue.edu
- M. Shapiro
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- MR Author ID: 249594
- Email: mshapiro@math.msu.edu
- A. Vainshtein
- Affiliation: Department of Computer Science, University of Haifa, Mount Carmel, 31905 Haifa, Israel
- MR Author ID: 192964
- Email: alek@cs.haifa.ac.il
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2196025