Ice cream and orbifold Riemann-Roch

@article{Buckley2013IceCA,
  title={Ice cream and orbifold Riemann-Roch},
  author={A. Buckley and M. Reid and Shengtian Zhou},
  journal={Izvestiya: Mathematics},
  year={2013},
  volume={77},
  pages={461-486}
}
  • A. Buckley, M. Reid, Shengtian Zhou
  • Published 2013
  • Mathematics
  • Izvestiya: Mathematics
  • We give an orbifold Riemann-Roch formula in closed form for the Hilbert series of a quasismooth polarized n-fold (X,D), under the assumption that X is projectively Gorenstein with only isolated orbifold points. Our formula is a sum of parts each of which is integral and Gorenstein symmetric of the same canonical weight; the orbifold parts are called ice cream functions. This form of the Hilbert series is particularly useful for computer algebra, and we illustrate it on examples of K3 surfaces… CONTINUE READING
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