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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