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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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