Filter regular sequence under small perturbations
From MaRDI portal
Publication:2200765
DOI10.1007/s00208-020-02014-4zbMath1451.13058arXiv1907.03637OpenAlexW3033291102MaRDI QIDQ2200765
Ilya Smirnov, Linquan Ma, Pham Hung Quy
Publication date: 22 September 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.03637
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Local rings and semilocal rings (13H99)
Related Items
When does a perturbation of the equations preserve the normal cone?, Algebraic approximation of Cohen-Macaulay algebras, Small perturbations in generalized Cohen-Macaulay local rings, Betti numbers under small perturbations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Genera and arithmetic genera of commutative rings
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Algebricite de certains points singuliers algebroides
- The invariance of Hilbert functions of quotients under small perturbations
- A finiteness theorem for the Hilbert functions of complete intersection local rings
- Equivalence and finite determinacy of mappings
- The height of ideals and regular sequences
- Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers
- The finiteness of certain sets of attached prime ideals and the length of generalized fractions.
- Finite determinacy of matrices and ideals
- Adic approximation of complexes, and multiplicities
- Verallgemeinerte COHEN-MACAULAY-Moduln
- The Castelnuovo regularity of the Rees algebra and the associated graded ring
- On the module of effective relations of a standard algebra
- An Intrinsic Criterion for Isomorphism of Singularities
- The strong uniform Artin-Rees property in codimension one
