Algebras of curvature forms on homogeneous manifolds

Kavli Affiliate: Mikhail Shapiro | Summary:Let C(X) be the algebra generated by the curvature 2-forms of the standard hermitian line bundles over the complex homogeneous manifold X=G/B. We calculate the Hilbert polynomial of C(X) and give its presentation as a quotient of a polynomial ring. In particular, we show the dimension of C(X) is equal […]


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