Lʼindice des champs de vecteurs sur les courbes de Cohen–Macaulay
Tài liệu tham khảo
Aleksandrov, 1978, On deformations of one-dimensional singularities with the invariants c=δ+1, Uspekhi Matem. Nauk, 33, 157
Aleksandrov, 1985, Cohomology of a quasihomogeneous complete intersection, Izv. Akad. Nauk SSSR Ser. Mat., 49, 467
Aleksandrov, 2012, Lʼindice topologique des champs de vecteurs sur les intersections complètes quasi-homogènes (à la mémoire de Henri Poincaré), C. R. Acad. Sci. Paris, Sér. I. Math., 350, 911, 10.1016/j.crma.2012.10.017
Graf von Bothmer, 2008, An algebraic formula for the index of a vector field on an isolated complete intersection singularity, Ann. Inst. Fourier (Grenoble), 58, 1761, 10.5802/aif.2398
Deligne, 1973, Intersections sur les surfaces régulières, vol. 340, 1
de Dominicis, 1999, Kähler differentials for points in Pn, J. Pure Appl. Algebra, 141, 153, 10.1016/S0022-4049(98)00016-4
Geller, 2000, Kähler differentials of affine monomial curves, Beiträge Algebra Geom., 41, 67
Giraldo, 2002, On the index of vector fields tangent to hypersurfaces with non-isolated singularities, J. London Math. Soc. (2), 65, 418, 10.1112/S0024610701002988
Gómez-Mont, 1998, An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity, J. Alg. Geom., 7, 731
Grothendieck, 1967, Local Cohomology, vol. 41
Herzog, 1971, Der kanonische Module eines Cohen–Macaulay Rings, vol. 238
Klehn, 2005, Real and complex indices of vector fields on complete intersection curves with isolated singularity, Compositio Math., 141, 525, 10.1112/S0010437X04000958
Kunz, 1984, Über den Derivationmodul und das Jacobi–Ideal von Kurvensingularitäten, Math. Zeitschrift, 187, 105, 10.1007/BF01163171
Rim, 1972, Torsion differentials and deformations, Trans. Amer. Math. Soc., 169, 257, 10.1090/S0002-9947-1972-0342513-4