Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Geometric proofs of Horn and saturation conjectures


Author: Prakash Belkale
Journal: J. Algebraic Geom. 15 (2006), 133-173
DOI: https://doi.org/10.1090/S1056-3911-05-00420-0
Published electronically: August 23, 2005
MathSciNet review: 2177198
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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

DOI: https://doi.org/10.1090/S1056-3911-05-00420-0
Received by editor(s): January 16, 2005
Received by editor(s) in revised form: May 20, 2005
Published electronically: August 23, 2005
Additional Notes: The author was partially supported by NSF grant DMS-0300356

American Mathematical Society