Nullstellensatz effectif et Conjecture de Serre (Théorème de Quillen-Suslin) pour le Calcul Formel
From MaRDI portal
Publication:3353156
DOI10.1002/mana.19901490118zbMath0729.14001OpenAlexW2069699867WikidataQ122928029 ScholiaQ122928029MaRDI QIDQ3353156
Publication date: 1990
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19901490118
Projective and free modules and ideals in commutative rings (13C10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Relevant commutative algebra (14A05)
Related Items
Algorithmic aspects of Suslin's proof of Serre's conjecture, On the efficiency of effective Nullstellensätze, Bounds of traces in complete intersections and degrees in the Nullstellensatz, An algorithm for the Quillen-Suslin theorem for monoid rings, Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz, On a generalization of Stickelberger's theorem, Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties, Bounds for degrees of syzygies of polynomials defining a grade two ideal, Recent improvements in the complexity of the effective Nullstellensatz, Effective Łojasiewicz inequalities in semialgebraic geometry, Suslin's algorithms for reduction of unimodular rows, Equations for the projective closure and effective Nullstellensatz, The membership problem for unmixed polynomial ideals is solvable in single exponential time, Algorithms for the Quillen-Suslin theorem, Time-space tradeoffs in algebraic complexity theory, An algorithm for unimodular completion over noetherian rings, Comprehensive Gröbner bases, Making the use of maximal ideals constructive, An algorithm for the Quillen-Suslin theorem for quotients of polnomial rings by monomial ideals, A bound for orders in differential Nullstellensatz, Computing bases of complete intersection rings in Noether position, Bounds for the degrees of the entries of left inverses of polynomial matrices, On degree bounds for the sparse Nullstellensatz, Complexity bounds in elimination theory -- a survey., On the complexity of counting components of algebraic varieties, A sparse effective Nullstellensatz, Diophantine approximation of Mahler numbers, Interpolation of ideals, Constructions in \(R[x_1,\dots ,x_n\): applications to K-theory]
Cites Work
