The special Schubert calculus is real
Author:
Frank Sottile
Journal:
Electron. Res. Announc. Amer. Math. Soc. 5 (1999), 35-39
MSC (1991):
Primary 14P99, 14N10, 14M15, 14Q20; Secondary 93B55
DOI:
https://doi.org/10.1090/S1079-6762-99-00058-X
Published electronically:
April 1, 1999
MathSciNet review:
1679451
Full-text PDF Free Access
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Abstract: We show that the Schubert calculus of enumerative geometry is real, for special Schubert conditions. That is, for any such enumerative problem, there exist real conditions for which all the a priori complex solutions are real.
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- J. Verschelde, Numerical evidence of a conjecture in real algebraic geometry. MSRI preprint # 1998-064, 1998.
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Additional Information
Frank Sottile
Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720
Address at time of publication:
Department of Mathematics, University of Wisconsin, Van Vleck Hall, 480 Lincoln Drive, Madison, Wisconsin 53706-1388
MR Author ID:
355336
ORCID:
0000-0003-0087-7120
Keywords:
Schubert calculus,
enumerative geometry,
Grassmannian,
pole placement problem
Received by editor(s):
December 20, 1998
Published electronically:
April 1, 1999
Additional Notes:
MSRI preprint # 1998-067.
Research supported by NSF grant DMS-9701755.
Communicated by:
Robert Lazarsfeld
Article copyright:
© Copyright 1999
American Mathematical Society
