This website accompanies the paper of the same name (37 pp., submitted to the Rendiconti del Circolo Matematico di Palermo, special Alg Geometry volume). All the material here should be presumed to be totally wrong, until proven otherwise.

The original draft (4 pp.) of the paper, potentially more lucid and useful than what it grew into.

A text containing miscellaneous computations of A-Hilb C^4, conjectures/counterexamples arising thereof. The Magma code employed for these computations.

An example of bad A-Hilb: for A=1/30(1,6,10,13) the A-Hilb C^4 is reducible.

Some worked examples of the propellor game computations.

Papers:

• Alastair Craw and Miles Reid, “How to calculate A-Hilb C^3”,
    in Ecole d'été sur les variétés toriques (Grenoble, 2000), collection Séminaires et Congrès, SMF 2001
• Iku Nakamura, “ Hilbert schemes of Abelian group orbits”,
    J. Algebraic Geom. 10 (2001), 757–779
• Sarah Davis, “Crepant resolutions and A-Hilbert schemes in four dimensions”,
    University of Warwick Ph.D. thesis, 127 pp., 2012
• Timothy Logvinenko, “Natural G-Constellation Families”,
    Documenta Mathematica 13 (2008), 803–823
• Timothy Logvinenko, “Families of G-Constellations parametrised by resolutions of quotient singularities”,
    University of Bath Ph.D. thesis, 140 pp., 2004

Links:

Miles Reid's webpage on McKay correspondence.