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Iskovskikh Seminar
March 2, 2006, Moscow, Steklov Mathematical Institute, room 540
 


Orbifold Riemann–Roch and plurigenera

M. Reid

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Abstract: I give a general formula for the Hilbert series of a polarised $n$-dimensional orbifold (for example, with isolated orbifold points). The result comes from orbifold RR, and so ultimately from equivariant RR (the Atiyah–Singer Lefschetz trace formula); however, the formula is organised so that no Chern or Todd classes appear explicitly, and no Dedekind sums. The formula reduces much of my work over 20 years to a few lines of computer algebra.

Language: English

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