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Thursday 1st January - 324

Orbifold RR and plurigenera

Abstract:

I give a general formula for the Hilbert series of a polarised n-dimensional orbifold with isolated orbifold points. The formula comes from orbifold RR, and so ultimately from the Atiyah--Singer equivariant RR formula; however, it is organised so that no Chern or Todd classes appear explicity. The formula reduces much of my work and that of my students over 20 years to a few lines of computer algebra.