Real enumerative geometry and effective algebraic equivalence

Details Real enumerative geometry and effective algebraic equivalence Real enumerative geometry and effective algebraic equivalence

1996-02-06

arxiv.org/abs/alg-geom/9602005v1

J. Pure and Appl. Alg., 117 & 118 (1997) 601--615

Mathematics

Algebraic Geometry

12 pages, LaTeX 2e

Scientific paper

We describe an approach to the question of finding real solutions to problems of enumerative geometry, in particular the question of whether a problem of enumerative geometry can have all of its solutions be real. We give some methods to infer one problem can have all of its solutions be real, given that a related problem does. These are used to show many Schubert-type enumerative problems on some flag manifolds can have all of their solutions be real.

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