### Ice cream and orbifold Riemann-Roch

Anita Buckley, Miles Reid and Shengtian Zhou

This website accompanies the paper of the same name,
Izvestiya RAN.

Seriya Matematicheskaya 77:3-4 (2013),
461--486
(arXiv:1208.0457).
While we are unable to offer any unconditional guarantee that everything

here is totally wrong, that should be a reasonably safe assumption.

An addendum contains various material
too long to fit in the main text.

It includes homework exercises and their solutions, computer algorithms,

some detailed proofs omitted from the paper, and heaps of scrap.

My_magmarc
is Reid's Magma start-up file, included for the

considerable inconvenience of the reader. Suffer!

This file gives some
sample calculations and baby applications

to orbifold del Pezzo surfaces.

old is a historical folder containing reams of scrap.

### Papers:

[BuSz] A. Buckley and B. Szendroi, Orbifold Riemann--Roch

for 3-folds with an application to Calabi--Yau geometry,

J. Algebraic Geometry 14 (2005) 601--622

[Bu1] A. Buckley, Orbifold Riemann-Roch for 3-folds and

applications to Calabi-Yaus, University of Warwich PhD thesis,

May 2003, 119 + viii pp.

[Bu2] A. Buckley, Computing Dedekind sums using the Euclidean

algorithm, Eurosim 2007

[Zhou PhD] Zhou Shengtian, Orbifold Riemann--Roch and Hilbert series,

University of Warwick PhD thesis, March 2011, 91+vii pp.

[Zhou arXiv] Zhou Shengtian,
Explicit Orbifold Riemann-Roch for

quasismooth varieties, arXiv:1407.5843, 43 pp.

[RR] Miles Reid, Plurigenera and invariants of canonical n-folds

notes, 16 pp. including scrap

[ABR] Selma Altínok, Gavin Brown and Miles Reid, Fano 3-folds, K3 surfaces

and graded rings, in Singapore International Symposium in Topology and

Geometry (NUS, 2001), A.J. Berrick and others Eds, Contemp.

Math. AMS, 2002, math.AG/0202092, 29 pp.

[Selig PhD] Michael Selig,
On the Hilbert Series of Polarised Orbifolds,

University of Warwick PhD thesis, Jun 2015, 108+vi pp.

### Links:

Gavin Brown's graded ring database

The Magma online calculator.

Miles Reid's front page