On Polynomial Ideals and Overconvergence in Tate Algebras

Author:

Caruso Xavier1,Vaccon Tristan2,Verron Thibaut3

Affiliation:

1. Université de Bordeaux, CNRS, INRIA, Bordeaux, France

2. Université de Limoges, CNRS, XLIM UMR 7252, Limoges, France

3. Johannes Kepler University, Linz, Austria

Funder

Austrian FWF

ANR

Publisher

ACM

Reference21 articles.

1. Bayer D. Morrison I. Standard bases and geometric invariant theoryI. Initial ideals and state polytopes Journal of Symbolic Computation Volume 6 Issues 2--3 1988. Bayer D. Morrison I. Standard bases and geometric invariant theoryI. Initial ideals and state polytopes Journal of Symbolic Computation Volume 6 Issues 2--3 1988.

2. Bogart T. , Jensen A. N. , Speyer D. , Sturmfels B. , Thomas R. R. Computing Tropical Varieties J. Symb . Comput. 42 ( 2007 ), no. 1 -- 2 Bogart T., Jensen A. N., Speyer D., Sturmfels B., Thomas R. R.Computing Tropical VarietiesJ. Symb. Comput. 42 (2007), no. 1--2

3. Buchberger , B. , Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal (An Algorithm for Finding the Basis Elements in the Residue Class Ring Modulo a Zero Dimensional Polynomial Ideal) , English translation in J. of Symbolic Computation, Special Issue on Logic, Mathematics, and Computer Science: Interactions. Vol. 41 , Number 3--4, Pages 475--511, 2006 Buchberger, B., Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal (An Algorithm for Finding the Basis Elements in the Residue Class Ring Modulo a Zero Dimensional Polynomial Ideal), English translation in J. of Symbolic Computation, Special Issue on Logic, Mathematics, and Computer Science: Interactions. Vol. 41, Number 3--4, Pages 475--511, 2006

4. Caruso , X. , Vaccon T. , Verron T. , Gröbner bases over Tate algebras , in Proceedings: ISSAC 2019 , Beijing, China. Caruso, X., Vaccon T., Verron T., Gröbner bases over Tate algebras, in Proceedings: ISSAC 2019, Beijing, China.

5. Signature-based algorithms for Gröbner bases over tate algebras

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