@incollection{SB_1999-2000__42__53_0, author = {Reid, Miles}, title = {La correspondance de {McKay}}, booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879}, series = {Ast\'erisque}, note = {talk:867}, pages = {53--72}, publisher = {Soci\'et\'e math\'ematique de France}, number = {276}, year = {2002}, mrnumber = {1886756}, zbl = {0996.14006}, language = {en}, url = {http://archive.numdam.org/item/SB_1999-2000__42__53_0/} }
TY - CHAP AU - Reid, Miles TI - La correspondance de McKay BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:867 PY - 2002 SP - 53 EP - 72 IS - 276 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1999-2000__42__53_0/ LA - en ID - SB_1999-2000__42__53_0 ER -
%0 Book Section %A Reid, Miles %T La correspondance de McKay %B Séminaire Bourbaki : volume 1999/2000, exposés 865-879 %A Collectif %S Astérisque %Z talk:867 %D 2002 %P 53-72 %N 276 %I Société mathématique de France %U http://archive.numdam.org/item/SB_1999-2000__42__53_0/ %G en %F SB_1999-2000__42__53_0
Reid, Miles. La correspondance de McKay, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 867, 20 p. http://archive.numdam.org/item/SB_1999-2000__42__53_0/
[Ba1] Birational Calabi-Yau n-folds have equal Betti numbers, in New trends in algebraic geometry, Klaus Hulek and others (eds.), CUP, 1999, pp. 1-11. | MR | Zbl
,[Ba2] Stringy Hodge numbers of varieties with Gorenstein canonical singularities, in Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), 1-32, World Sci. Publishing, River Edge, NJ, 1998. | MR | Zbl
,[Ba3] Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs, J. Eur. Math. Soc. 1 (1999), 5-33. | MR | Zbl
,[BD] Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry, Topology 35 (1996), 901-929. | MR | Zbl
and ,[BO1] Reconstruction of a variety from the derived category and groups of autoequivalences, Max Planck Inst. Bonn preprint MPI-97-36, math.AG/9712029, 20 pp. | MR
and ,[BO2] Semi-orthogonal decomposition for algebraic varieties, preprint alg-geom/9506012.
and ,[Br] Equivalences of triangulated categories and Fourier-Mukai transforms, Bull. London Math. Soc. 31 (1999), 25-34. | MR | Zbl
,[BrM] Fourier-Mukai transforms for K3 fibrations, preprint math/9908022, 18 pp.
and ,[B] A correspondence dual to McKay's, preprint alg-geom/9612003.
,[BKR] Mukai implies McKay, preprint math/9908027, 17 pp.
, and ,[C1] An introduction to motivic integration, preliminary draft available from www.maths.warwick.ac.uk/~craw, 23 pp. | MR
,[C2] A-Hilb C3 and McKay correspondence, work in progress.
,[CR] How to calculate A-Hilb C3, preprint math/ 9909085, 29 pp. | MR
and ,[DHVW] Strings on orbifolds. I, Nuclear Phys. B 261 (1985), 678-686. II, same J. 274 (1986), 285-314. | MR
, , and ,[DHZ] All Abelian quotient c.i. singularities admit crepant resolutions, preprint alg-geom/9704007, 35 pp.
, and ,[DL1] Germs of arcs on singular algebraic varieties and motivic integration, Invent. Math. 135 (1999), 201-232. | MR | Zbl
and ,[DL2] Motivic integration, quotient singularities and the McKay correspondence, preprint math/9903187, 20 pp., to appear in Compositio Math. | MR | Zbl
and ,[GSpV] Construction géométrique de la correspondance de McKay, Ann. Sci. École Norm. Sup. (4) 16 (1983), 409-449. | Numdam | MR | Zbl
and ,[H] Residues and duality, L.N.M. 20 Springer, 1966. | MR | Zbl
,[HH] On the Euler number of an orbifold, Math. Ann. 286 (1990), 255-260. | MR | Zbl
and ,[IN] McKay correspondence and Hilbert schemes in dimension three, preprint math.AG/9803120, 35 pp., to appear in Topology. | MR | Zbl
and ,[IN1] McKay correspondence and Hilbert schemes, Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), 135-138. | MR | Zbl
and ,[IN2] Hilbert schemes and simple singularities, in New trends in algebraic geometry, Hulek and others (eds.), CUP 1999, pp. 155-233. | MR | Zbl
and ,[IR] The McKay correspondence for finite subgroups of SL(3,C), in Higher-dimensional complex varieties (Trento, 1994), 221- 240, de Gruyter, Berlin, 1996. | MR | Zbl
and ,[K] Motivic integration, Legendary lecture at Orsay, Thu 7th Dec 1995.
,[Ka1] McKay correspondence for symplectic quotient singularities, preprint math/9907087, 28 pp. | MR
,[Ka2] Dynkin diagrams and crepant resolutions of quotient singularities, preprint math/9903157, 30 pp.
,[Kr] The construction of ALE spaces as hyper-Kähler quotients, J. Diff. Geom. 29 (1989), 665-683. | MR | Zbl
,[GIT] Geometric invariant theory (3rd edn.), Springer, 1994. ' | MR | Zbl
, and ,[Mu] Duality between D(X) and D(X) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), 153-175. | MR | Zbl
,[N] Hilbert schemes of Abelian group orbits, to appear in J. Alg. Geom. | MR | Zbl
,[O] Equivalences of derived categories and K3 surfaces, Algebraic geometry, 7 J. Math. Sci. (New York) 84 (1997), 1361-1381, preprint alg-geom/9606006, 28 pp. | MR | Zbl
,[YPG] Young person's guide to canonical singularities, in Algebraic Geometry, Bowdoin 1985, ed. S. Bloch, Proc. of Symposia in Pure Math. 46, A.M.S. (1987), vol. 1, 345-414. | MR | Zbl
,[R] McKay correspondence, in Proc. of algebraic geometry symposium (Kinosaki, Nov 1996), T. Katsura (ed.), 14-41, preprint alggeom/9702016, 30 pp.
,[Homework] Homework sheets will be on my website www.maths.warwick.ac.uk/ ~miles, including examples, exercises, more hints, and errata to this lecture.
[Roan] Orbifold Euler characteristic, in Mirror symmetry, II, AMS 1997, pp. 129-140. | MR | Zbl
,[T] Chern numbers for singular varieties and elliptic homology. Ann. of Math. 151 (2000), no. 2, 757-791. Preprint available from www. dpmms.cam.ac.uk/~bt219. | MR | Zbl
,[V] String vacua and orbifoldized LG models, Modern Phys. Lett. A 4 (1989), 1169-1185. | MR
,[Vb] Holomorphic symplectic geometry and orbifold singularities, preprint math. AG/9903175, 17 pp. | MR
,[Z] Topological orbifold models and quantum cohomology rings, Comm. Math. Phys. 156 (1993), 301-331. | MR | Zbl
,