Universal Analytic Gröbner Bases and Tropical Geometry

Author:

Vaccon Tristan1ORCID,Verron Thibaut2ORCID

Affiliation:

1. XLIM, Université de Limoges, France

2. Institute for Algebra, JKU, Austria

Funder

Austrian Science Fund

Publisher

ACM

Reference27 articles.

1. [ 1 ] Allamigeon X. , Benchimol P. N. , Gaubert S. , Joswig M. Log-Barrier Interior Point Methods Are Not Strongly Polynomial SIAM Journal on Applied Algebra and Geometry , 2018 , vol 2 [1] Allamigeon X., Benchimol P. N., Gaubert S., Joswig M. Log-Barrier Interior Point Methods Are Not Strongly Polynomial SIAM Journal on Applied Algebra and Geometry, 2018, vol 2

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

3. [ 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 [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

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