On Tangential varieties of rational homogeneous varieties

Mathematics – Algebraic Geometry

Scientific paper

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17 pages, completely rewritten with some errors corrected

Scientific paper

We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit infomation about the ideals in certain cases.

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