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Géométrie des points épais. (French) Zbl 0396.13017

MSC:
13E10 Commutative Artinian rings and modules, finite-dimensional algebras
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
13B10 Morphisms of commutative rings
13N05 Modules of differentials
12H05 Differential algebra
14B10 Infinitesimal methods in algebraic geometry
14B12 Local deformation theory, Artin approximation, etc.
13D10 Deformations and infinitesimal methods in commutative ring theory
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References:
[1] BLOOM (T.) . - Opérateurs différentiels sur les espaces analytiques , Séminaire Lelong : Analyse, 8e année, 1967 / 1968 , exposé n^\circ 1, 20 p. - Berlin, Springer-Verlag, 1968 (Lecture Notes in Mathematics, 71). Zbl 0182.13001 · Zbl 0182.13001
[2] BOURBAKI (N.) . - Algèbre commutative , Chap. 1, 2 et 3. - Paris, Hermann, 1961 . (Act. scient. et ind., 1290, 1293 ; Bourbaki, 37, 38).
[3] EMSALEM (J.) et IARROBINO (A.) . - Réseaux de coniques et algèbres de longueur sept associées (preprint).
[4] GROTHENDIECK (A.) . - Éléments de géométrie algébrique , I : Le langage des schémas. Paris, Presses universitaires de France, 1960 (Institut des Hautes Études Scientifiques, Publications mathématiques, 4). Numdam | Zbl 0118.36206 · Zbl 0118.36206 · doi:10.1007/BF02684778 · numdam:PMIHES_1960__4__5_0 · numdam:PMIHES_1961__8__5_0 · numdam:PMIHES_1961__11__5_0
[5] IARROBINO (A.) and EMSALEM (J.) . - Some zero-dimensional generic singularities ; finite algebras having small tangent space, Compositio Mathematica, vol. 36, fasc. 2, 1978 , p. 145-188. Numdam | MR 81c:14004 | Zbl 0393.14002 · Zbl 0393.14002 · numdam:CM_1978__36_2_145_0 · eudml:89364
[6] IARROBINO (A.) . - Vector spaces of forms , I : Ancestor ideals, Austin, University of Texas (preprint). · Zbl 0842.11016
[7] KAPLANSKY (I.) . - Commutative rings . - Boston, Allyn and Bacon, 1970 . MR 40 #7234 | Zbl 0203.34601 · Zbl 0203.34601
[8] EMSALEM (J.) . - Géométrie des points épais (preprint). · Zbl 0396.13017
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