Primitivity of twisted homogeneous coordinate rings

Susan Sierra (University of Washington)

Wednesday 3rd June, 2009 16:00-17:00 Room 204, Mathematics


Let B = B(X, L, f) be the twisted homogeneous coordinate ring associated to a complex projective variety X, an automorphism f of X, and an appropriately ample invertible sheaf L. We study the primitive spectrum of B, and show that there is an intriguing relationship between primitivity of B and the dynamics of the automorphism f. In many cases Dixmier and Moeglin's characterization of primitive ideals in enveloping algebras generalizes to B; in particular, this holds if X is a surface. This is joint work with J. Bell and D. Rogalski.

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