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The special Schubert calculus is real
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The special Schubert calculus is real
Frank Sottile
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 \textit{a priori} complex solutions are real.
Copyright 1999 American Mathematical Society
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Article Info
- ERA Amer. Math. Soc. 05 (1999), pp. 35-39
- Publisher Identifier: S 1079-6762(99)00058-X
- 1991 Mathematics Subject Classification. Primary 14P99, 14N10, 14M15, 14Q20
- Key words and phrases. Schubert calculus, enumerative geometry, Grassmannian, pole
placement problem
- Received by April 1, 1999
- Communicated by Robert Lazarsfeld
- Comments (When Available)
Frank Sottile
Mathematical Sciences Research Institute,
1000 Centennial Drive,
Berkeley, CA 94720
Current address:
Department of Mathematics,
University of Wisconsin,
Van Vleck Hall,
480 Lincoln Drive,
Madison, Wisconsin 53706-1388
E-mail address: sottile@math.wisc.edu
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