@incollection{SB_1982-1983__25__251_0, author = {Dolgachev, Igor}, title = {Integral quadratic forms : applications to algebraic geometry}, booktitle = {S\'eminaire Bourbaki : volume 1982/83, expos\'es 597-614}, series = {Ast\'erisque}, note = {talk:611}, pages = {251--278}, publisher = {Soci\'et\'e math\'ematique de France}, number = {105-106}, year = {1983}, mrnumber = {728992}, zbl = {0535.10018}, language = {en}, url = {http://www.numdam.org/item/SB_1982-1983__25__251_0/} }
TY - CHAP AU - Dolgachev, Igor TI - Integral quadratic forms : applications to algebraic geometry BT - Séminaire Bourbaki : volume 1982/83, exposés 597-614 AU - Collectif T3 - Astérisque N1 - talk:611 PY - 1983 SP - 251 EP - 278 IS - 105-106 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1982-1983__25__251_0/ LA - en ID - SB_1982-1983__25__251_0 ER -
%0 Book Section %A Dolgachev, Igor %T Integral quadratic forms : applications to algebraic geometry %B Séminaire Bourbaki : volume 1982/83, exposés 597-614 %A Collectif %S Astérisque %Z talk:611 %D 1983 %P 251-278 %N 105-106 %I Société mathématique de France %U http://www.numdam.org/item/SB_1982-1983__25__251_0/ %G en %F SB_1982-1983__25__251_0
Dolgachev, Igor. Integral quadratic forms : applications to algebraic geometry, in Séminaire Bourbaki : volume 1982/83, exposés 597-614, Astérisque, no. 105-106 (1983), Talk no. 611, 28 p. http://www.numdam.org/item/SB_1982-1983__25__251_0/
[1] Algebraic surfaces ( ed. by ), Proc,Steklov Math. Inst., vol.75, Moscow. 1965 .
[2] Remarks on the method of stationary phase and Coxeter numbers, Uspehi Mat.Nauk, 28:5 (1973), 17-44 . | MR | Zbl
-[3] Critical points of smooth functions and their normal forms , Uspehi Mat.Nauk, 30:5 (1975) , 3-65 | MR
-[4] Critical points of smooth functions ,Proc.Int.Congress of Math., Vancouver. 1974, 19-39 . | MR | Zbl
-[5] Automorphisms of Enriques surfaces, Invent.Math. (to appear ) . | MR | Zbl
and -[6] Arithmetic subgroups of algebraic groups, Ann.Math., 75 (1962), 485-535 . | MR | Zbl
and -[7] Groupes et Algébres de Lie , Chap.IV-VI. Paris.1968. | Zbl
-[8] Die Milnorgitter der exzeptionellen unimodularen Singularitäten,Bonner Math.Schriften, 150 . Bonn.1983 . | MR | Zbl
-[9] Factor-conical singularities of complex surfaces, Funkt.Anal.i ego Priloz., 8:2 (1974), 75-76 . | Zbl
-[10] On automorphisms of Enriques surfaces, Invent. Math. (to appear) . | MR | Zbl
-[11] Exceptional singularities of V.I.Arnold and K3-surfaces, Proc.Minsk Topology Conf. Minsk. 1977 ( abstract ) .
and -[12] Bilinear and quadratic forms on torsion modules, Adv.Math., 25 (1977), 133-164 . | MR | Zbl
-[13] The signature of smoothings of complex surface singularities, Math.Ann.,232 (1978), 85-98 . | MR | Zbl
-[14] Quadratische Formen und Monodromiegruppen von Singularittäten,Math.Ann., 255 (1981),463-498 . | MR | Zbl
-[15] Quadratische Formen und Orthogonalen Gruppen . Berlin. 1952 . | MR | Zbl
-[16] Smoothing cusp singularities of small length , Math.Ann., 263 (1983), 185-212 . | MR | Zbl
and -[17] Smoothing of cusp singularities via triangle singularities (preprint) .
and -[18] Dynkin diagrams for unimodal singularities , Funkt.Anal. i ego Priloz. 8:3 (1974), 1-6 . | MR | Zbl
-[19] On Witt's theorem for unimodular quadratic forms , Pacif.Journ. Math., 26 (1968), 303-316 . | MR | Zbl
-[20] Klassenzahlen indefiniter quadratische Formen in drei oder mehr Veränderlichen, Arch.Math.,7 (1956),323-332. | MR | Zbl
-[21] Rational surfaces with an anti-canonical cycle , Ann.Math., 114 (1981), 267-322 . | MR | Zbl
-[22] The smoothing components of a triangle singularity.I,Proc.Symp.Pure Math., vol.40 (part II),A.M.S. 1983,173- -184 . | MR | Zbl
-[23] On simply connected 4-manifolds, Int.Symp.Alg.Topology, Mexico City. 1958, 122-128 . | MR | Zbl
-[24] Singular points of complex hypersurfaces, Ann. Math. Studies, vol.61, Princeton. 1968 . | MR | Zbl
-[25] On K3-surfaces with large Picard number(preprint).
-[26] On automorphisms of Enriques surfaces which act trivially on cohomology (preprint ) .
and -[27] The topology of normal singularities of an algebraic and a criterion of simplicity, Publ.Math.de l'IHES , 9 (1961) | Numdam | Zbl
-[28] Inoue-Hirzebruch surfaces and a duality of hyperbolic unimodal surfaces.I, Math.Ann.,252(1980),221-235. | MR | Zbl
-[29] On the periods of Enriques surfaces (preprint). | MR
-[30] Integral symmetric bilinear forms and some of their applications, Izv.Akad.Nauk SSSR, Ser.Math., 43(1979),111-177. | MR | Zbl
-[31] Finite groups of automorphisms of Kahlerian surfaces of type K3 , Proc.Moscow Math.Soc., 38(1979),75-137. | MR | Zbl
-[32] On the quotient groups of automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections. Algebraic-geometrical applications. Modern Problems in Math., vol.18. Moscow. 1981, 1-114 (to be translated in J.Sov.Math.). | MR | Zbl
-[33] On classification of arithmetic groups generated by reflections in Lobachevsky spaces, Izv.Akad.Nauk SSSR, Ser. Math., 45 (1981),113-142 . | MR | Zbl
-[34] On arithmetic groups generated by reflections in Lobachevsky spaces, 44 (1980), 637-668 . | MR | Zbl
-[35] Involutions of integral quadratic forms and their applications to real algebraic geometry, Izv.Akad.Nauk SSSR, Ser.Math., 47 (1983), 109-158 . | MR | Zbl
-[36] A Torelli theorem for algebraic surfaces of type K3,Izv.Akad.Nauk SSSR,35(1971).
and -[37] Singularites exceptionelles, la dualite etrange d'Arnold et les surfaces K-3 , C.R.Acad.Sci.Paris , 284(1977), 615-618. | MR | Zbl
-[38] Deformations of algebraic varieties with -action, Asterisque, 20 (1974) . | Numdam | MR | Zbl
-[39] Automorphisms of cusps and Inoue-Hirzebruch surfaces (preprint).
-[40] Smoothings of the singularities , , Proc.Symp.Pure Math., vol.40 (part II), A.M.S. 1983,373-378 . | MR | Zbl
-[41] Groupe de monodromie des singularites unimodulaires exceptionnelles, C.R.Acad.Sci.Paris, 284 (1977), 1515-1518 . | MR | Zbl
-[42] K3-surfaces over fields of positive characteristics, the same as in [32] , pp. 115-207 . | MR | Zbl
and -[43] A Course in Arithmetic, Springer. 1970 . | MR | Zbl
-[44] Mixed Hodge structures associated with isolated singularities,Proc.Symp.Pure Math.,40(part 2),A.M.S., 1983 , 513-536 . | MR | Zbl
-[45] Discrete groups generated by reflections in Lobachevsky spaces,Mat.Sbornik,72 (1967), 471-488 . | MR | Zbl
-[46] Discrete linear groups generated by reflections, Izv.Akad.Nauk SSSR , Ser.Mat., 35 (1971), 1072-1112 . | MR | Zbl
-[47] The absence of crystallographic reflection groups in Lobachevsky spaces of large dimension,Funkt.Anal. i ego Priloz., 15:2 (1981), 79-80 . | MR | Zbl
-[48] Some arithmetical discrete groups in Lobachevsky spaces,"Discrete subgroups of Lie groups", Oxford,1975,323-348 . | MR | Zbl
-[49] Algebras of automorphic forms with few generators, Trans.A.M.S., 262 (1980) 367-389 . | MR | Zbl
-[50] Smoothings of normal surface singularities, Topology , 20 (1981), 219-246 . | MR | Zbl
-[51] Derivations of negative weight and non-smoothability of certain singularities, Math.Ann., 258 (1982) , 383-398 . | MR | Zbl
-