On Polynomial Ideals and Overconvergence in Tate Algebras

Autor: Caruso, Xavier, Vaccon, Tristan, Verron, Thibaut

Publikováno v: International Symposium On Symbolic And Algebraic Computation
International Symposium On Symbolic And Algebraic Computation, Jul 2022, Lille, France. ⟨10.1145/3476446.3535491⟩

International audience; In this paper, we study ideals spanned by polynomials or overconvergent series in a Tate algebra. With state-of-the-art algorithms for computing Tate Gröbner bases, even if the input is polynomials, the size of the output gro

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https://doi.org/10.1145/3476446.3535491

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Characterising bases of pure difference ideals

Autor: Burke, Isaac Zebulun

In this thesis, we study the basis sets of pure difference ideals, that is, ideals that are generated by differences of monic monomials. We examine the action of the hyperoctahedral group on the defining ideal of the Segre variety in the multi-dimens

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1513::14d5f8a90d58897179e647b960552654
http://hdl.handle.net/10379/16183

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Graver bases and niversal Gröbner bases for linear codes

Autor: Natalia Dück, Karl-Heinz Zimmermann

Publikováno v: International Journal of Pure and Applied Mathematics 4 (98): 419-441 (2015)

A linear code over a finite field can be associated with two binomial ideals. In this paper, algorithms for computing their Graver bases and universal Gröbner bases are given.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53aa1d998f561a7d2c1bc43146af0453
https://hdl.handle.net/11420/2661