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Geometric proofs of Horn and saturation conjectures
Author(s):
Prakash
Belkale
Journal:
J. Algebraic Geom.
15
(2006),
133-173.
Posted:
August 23, 2005
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Abstract |
References |
Additional information
Abstract:
We provide a geometric proof of the Schubert calculus interpretation of the Horn conjecture, and show how the saturation conjecture follows from it. The geometric proof gives a strengthening of Horn and saturation conjectures. We also establish transversality theorems for Schubert calculus in nonzero characteristic.
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Additional Information:
Prakash
Belkale
Affiliation:
Department of Mathematics, UNC-Chapel Hill, CB \#3250, Phillips Hall, Chapel Hill, North Carolina 27599
Email:
belkale@email.unc.edu
PII:
S 1056-3911(05)00420-0
Received by editor(s):
January 16, 2005
Received by editor(s) in revised form:
May 20, 2005
Posted:
August 23, 2005
Additional Notes:
The author was partially supported by NSF grant DMS-0300356
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