On the complexity of the integral closure
DOI10.1090/S0002-9947-04-03627-XzbMath1071.13002OpenAlexW1536005852MaRDI QIDQ4825658
Bernd Ulrich, Vasconcelos, Wolmer V.
Publication date: 28 October 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03627-x
multiplicitynumber of generatorsCohen-MacaulaynessJacobian idealintegral closureembedding dimensionembedding degree
Analysis of algorithms and problem complexity (68Q25) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties of Noetherian rings stable under general grade reduction
- Linear free resolutions and minimal multiplicity
- Bounds in the theory of polynomial rings over fields. A nonstandard approach
- On a theorem of Castelnuovo, and the equations defining space curves
- A sharp Castelnuovo bound for smooth surfaces
- Jacobian ideals and a theorem of Briancon-Skoda
- Die Sätze von Bertini für lokale Ringe
- Generic projections, the equations defining projective varieties and Castelnuovo regularity
- Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
- Codimension, multiplicity and integral extensions
- On Ramification Theory in Noetherian Rings
- Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
- Computing the Integral Closure of an Affine Domain
- Construction of the Integral Closure of a Finite Integral Domain. II
- Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
- What can be computed in algebraic geometry?
- Constructive normalization of an algebraic variety
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
- An algorithm for computing the integral closure
- Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
- Residual intersections in Cohen-Macaulay rings