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.