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The special Schubert calculus is real
Author(s):
Frank
Sottile
Journal:
Electron. Res. Announc. Amer. Math. Soc.
5
(1999),
35-39.
MSC (1991):
Primary 14P99, 14N10, 14M15, 14Q20;
Secondary 93B55
Posted:
April 1, 1999
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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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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
DOI:
10.1090/S1079-6762-99-00058-X
PII:
S 1079-6762(99)00058-X
Keywords:
Schubert calculus,
enumerative geometry,
Grassmannian,
pole placement problem
Received by editor(s):
December 20, 1998
Posted:
April 1, 1999
Additional Notes:
MSRI preprint # 1998-067.
Research supported by NSF grant DMS-9701755.
Communicated by:
Robert Lazarsfeld
Copyright of article:
Copyright
1999,
American Mathematical Society
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