INDEX 361 minimal, 183, 186, 189 Huneke, Craig, 109, 114 hypersurface singularity, 50, 52, 83, 89, 90, 99, 101, 106, 120, 123–141, 163, 192, 203, 216, 241, 244, 245, 252–260, 280, 284, 285, 297–299, 301–303, 315 I, 86 icosahedron, 84, 89 ideal divisorial, 24, 26 faithful, 53, 55, 56, 283 fractional, 10, 24, 292, 296, 328 of pure height one, 177, 178, 188, 326, 327, 329, 330 reflexive, 328 stable, 44, 56 idempotent, 1–3, 9, 32, 70, 165, 181, 254, 273, 300, 318, 324 lifting, 5, 6, 72, 317, 318 split, 1, 2, 4, 9, 32 imperfect field, 172, 275 index, 195, 199, 200, 202 inertia group, 338 inertial degree, 338 infinite CM type, 19, 43, 51, 53, 170, 172, 253, 260, 267, 268, 280, 285, 291, 295, 301–304, 306 infinite field, 33, 34, 39, 43, 44, 49–51, 142, 144, 171, 195, 202, 267, 268, 281, 285, 291, 297, 301–303, 314 infinite syzygy, 209 injective hull of the residue field, 175, 221 inner product, 84, 85 inseparable field extension, 36, 49, 163, 172 integral closure, 41, 42, 45–59, 117–119, 245, 248, 256, 301, 316, 335 integral extension, 52, 63, 98, 323, 326, 328 integrally closed, see normal intersection matrix, 100, 102 intersection multiplicity, 99 Intersection Theorem, 176 intersection theory, 99 intumescence, 170 invariant ring, 81, 82, 86, 97, 109, 117–119, 233, 262, 263, 291–293 invariant theory, 61 inverse determinant representation, 74 Irr(M, N) and irr(M, N), 225 irreducible homomorphism, 224, 224–229, 235, 276–278, 281–283, 287, 288 irreducible representation, 71–73, 77, 83, 91, 94, 97, 104, 152, 292 Ischebeck, Friedrich, 176 Isogawa, Satoru, 188 isolated singularity, 42, 53, 98, 101, 109, 113–116, 121, 192, 199, 219, 223–225, 228, 230, 243, 248, 268, 275–285, 287, 288, 290, 291, 295, 298, 304 J (−), 3 Jacobian criterion, 275, 288 determinant, 89 ideal, 192, 274, 275, 285 matrix, 274 Jacobinski, Heinz, 50, 51 Jacobson radical J (−), 3, 225, 317, 318 Jans, James P., 267 Jordan block, 28, 29, 31, 34, 37 Jordan, Camille, 84 ahler differentials Ω, 116, 323 Kaplansky, Irving, 200 Karoubian, see idempotent, split Karr, Ryan, 50 Kato, Kiriko, 188, 189 Kattchee, Karl, 23 Kawasaki, Takesi, 298, 299 Kiyek, Karl-Heinz, 159, 160 Klein, Felix, 81, 87, 89 Kleinian singularity, 81, 83, 90, 83–97, 99, 102, 104, 133, 141, 151–159, 229–232 Kn¨ orrer’s periodicity, 133, 253 Kn¨ orrer, Horst, 42, 50–52, 134, 138, 139, 141, 145, 252, 297
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