Théorème de division et stabilité en géométrie analytique locale

DOI10.5802/aif.745zbMath0412.32011OpenAlexW2314715493MaRDI QIDQ1260230

Publication date: 1979

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1979__29_2_107_0

zbMATH Keywords

polydisc analytic algebra entire convergent series germs of analytic space

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items

Real analytic multi-parameter singular Radon transforms: Necessity of the Stein-Street condition, La construction de la déformation semi-universelle d'un germe de variété analytique complexe, A formula for the number of branches for one-dimensional semianalytic sets, Relations among analytic functions. I, New constructive methods in classical ideal theory, Regularity Bounds by Projection, Regularity of prime ideals, Unnamed Item, Bounds for the Castelnuovo-Mumford regularity, ACTION OF THE BOREL GROUP ON MONOMIAL IDEALS, History and basic features of the critical-pair/completion procedure, Quasi-stability versus Genericity, Sets of convergent power series given by differential conditions, Gorenstein rings generated by strongly stable sets of quadratic monomials, Algebraically constructible functions and signs of polynomials, Multi-parameter singular Radon transforms. I: The \(L^2\) theory, Stability of Gröbner bases, The regularity conjecture for prime ideals in polynomial rings, A p-adic approach to the computation of Gröbner bases, Deterministic genericity for polynomial ideals, Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties, Unnamed Item, The classical Artin approximation theorems, On projective resolutions of Frobenius algebras and Gorenstein rings, Local zero estimates and effective division in rings of algebraic power series, Standard bases and some computations in rings of power series, The weighted log canonical threshold, The degree-complexity of the defining ideal of a smooth integral curve, Term-ordering free involutive bases, The reduced Bautin index of planar vector fields, Bounds for the Castelnuovo-Mumford regularity of modules, On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme, Géométrie des schémas de Hilbert ponctuels, Betti numbers, castelnuovo mumford regularity, and generalisations of macaulay's theorem, Multivariate linear recurrences and power series division, Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I, Flat families by strongly stable ideals and a generalization of Gröbner bases, A criterion for detecting m-regularity, On the number of singular points of a real projective hypersurface, On the Cohomology of Pseudoeffective Line Bundles, Dimension and depth dependent upper bounds in polynomial ideal theory, A rank theorem for analytic maps between power series spaces, Sur le schéma de Hilbert d'une courbe plane, Multi-parameter singular Radon transforms III: Real analytic surfaces, Deformations of reductive group actions, Connectedness of Hilbert function strata and other connectedness results, Flatness and fibred powers over smooth varieties, Preparatory structure theorem for ideals defining space curves, Counterexamples to the Eisenbud–Goto regularity conjecture, Universal topological stratification for the Pham example, On the structure of arithmetically Buchsbaum curves in \(P^ 3_ k\), Gröbner bases, local cohomology and reduction number, A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements., A division theorem of stability of holonomic systems, Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals

Cites Work