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Journal of the London Mathematical Society Advance Access published online on October 24, 2007
Journal of the London Mathematical Society, doi:10.1112/jlms/jdm075
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© 2007 London Mathematical Society

On tangential varieties of rational homogeneous varieties

J. M. Landsberg

Department of Mathematics
Texas A&M University
Mailstop 3368
College Station
TX 77843-3368
USA

Jerzy Weyman

Department of Mathematics
Northeastern University
360 Huntington Avenue
Boston
MA 02115
USA
weyman{at}neu.edu

The sphericality of tangential varieties of rational homogeneous varieties is determined. The homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS) are determined. Bounds on the degrees of generators of the ideals of tangential varieties of CHSS are given, and more explicit information is obtained about the ideals in certain cases.

2000 Mathematics Subject Classification 14M17, 32M15, 13D02.

The authors are supported, respectively, by NSF grants DMS-0305829 and DMS-0600229.

Received January 10, 2006; revised February 16, 2007;
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