How to calculate A-Hilb C^3

dc.creatorCraw, Alastair
dc.creatorReid, Miles
dc.date1999-09-15
dc.date2001-09-13
dc.date.accessioned2026-07-07T05:30:46Z
dc.date.available2026-07-07T05:30:46Z
dc.descriptionIku Nakamura [Hilbert schemes of Abelian group orbits, J. Alg. Geom. 10 (2001), 757--779] introduced the G-Hilbert scheme for a finite subgroup G in SL(3,C), and conjectured that it is a crepant resolution of the quotient C^3/G. He proved this for a diagonal Abelian group A by introducing an explicit algorithm that calculates A-Hilb C^3. This note calculates A-Hilb C^3 much more simply, in terms of fun with continued fractions plus regular tesselations by equilateral triangles.
dc.descriptionMinor corrections, 32 pp. with 13 figures plus activity pack. To appear in Ecole d''et'e sur les vari'et'es toriques (Grenoble, 2000), collection S'eminaires et Congr`es, SMF 2001
dc.identifierhttps://arxiv.org/abs/math/9909085
dc.identifierhttp://arxiv.org/abs/math/9909085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79104
dc.subjectAlgebraic Geometry
dc.titleHow to calculate A-Hilb C^3
dc.typetext

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