2021
DOI: 10.48550/arxiv.2102.05324
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

On FGLM Algorithms with Tate Algebras

Xavier Caruso,
Tristan Vaccon,
Thibaut Verron

Abstract: Tate introduced in [Ta71] the notion of Tate algebras to serve, in the context of analytic geometry over the -adics, as a counterpart of polynomial algebras in classical algebraic geometry. In [CVV19, CVV20] the formalism of Gröbner bases over Tate algebras has been introduced and advanced signature-based algorithms have been proposed. In the present article, we extend the FGLM algorithm of [FGLM93] to Tate algebras. Beyond allowing for fast change of ordering, this strategy has two other important benefits. F… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 10 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?