General isotropic flags are general (for Grassmannian Schubert calculus)

Author:
Frank Sottile

Journal:
J. Algebraic Geom. **19** (2010), 367-370

Published electronically:
July 9, 2009

MathSciNet review:
2580679

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Abstract | References | Additional Information

Abstract: We show that general isotropic flags for odd-orthogonal and symplectic groups are general for Schubert calculus on the classical Grassmannian in that Schubert varieties defined by such flags meet transversally. This strengthens a result of Belkale and Kumar.

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Additional Information

**Frank Sottile**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843

Email:
sottile@math.tamu.edu

DOI:
http://dx.doi.org/10.1090/S1056-3911-09-00518-9

Received by editor(s):
January 16, 2008

Received by editor(s) in revised form:
July 21, 2008

Published electronically:
July 9, 2009

Additional Notes:
Work of Sottile supported by NSF grant DMS-0701050