Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
From MaRDI portal
Publication:1358930
DOI10.1016/S0022-4049(97)00028-5zbMath0928.14002arXivalg-geom/9610006MaRDI QIDQ1358930
Publication date: 23 November 1999
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9610006
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Relevant commutative algebra (14A05)
Related Items
An improvement of Chen-Ru-Yan's degenerated second main theorem, Explicit uniform estimation of rational points I. Estimation of heights, Explicit uniform estimation of rational points II. Hypersurface coverings, Lower bounds for the circuit size of partially homogeneous polynomials, Extractors for varieties, Unnamed Item, Time-space tradeoffs in algebraic complexity theory, Deformation techniques for efficient polynomial equation solving., Second main theorem for meromorphic maps into algebraic varieties intersecting moving hypersurfaces targets, Computing bases of complete intersection rings in Noether position, Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions, Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions, Inequalities for Hilbert functions and primary decompositions, Difference analogue of second main theorems for meromorphic mapping into algebraic variety, A general form of the second main theorem for meromorphic mappings from a \(p\)-parabolic manifold to a projective algebraic variety, A sparse effective Nullstellensatz
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degree bounds for the division problem in polynomial ideals
- On intrinsic bounds in the Nullstellensatz
- Definability and fast quantifier elimination in algebraically closed fields
- Lectures on results on Bezout's theorem. Notes by D. P. Patil
- Bounds for the degrees in the division problem
- Théoremes de Bertini et applications
- Bounds for the degrees in the Nullstellensatz
- Lower bounds for polynomials with algebraic coefficients
- Recent improvements in the complexity of the effective Nullstellensatz
- Equations for the projective closure and effective Nullstellensatz
- Lower bounds for diophantine approximations
- Straight-line programs in geometric elimination theory
- Bounds of traces in complete intersections and degrees in the Nullstellensatz
- A combinatorial proof of the effective Nullstellensatz
- Nullstellensatz effectif et Conjecture de Serre (Théorème de Quillen-Suslin) pour le Calcul Formel
- Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
- ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL
- Dénominateurs dans le théorème des zéros de Hilbert
- Algèbre linéaire sur $K[X_1,\dots,X_n$ et élimination]
- Geometric Consequences of Extremal Behavior in a Theorem of Macaulay
- Sharp Effective Nullstellensatz