Products of ideals and jet schemes

Gleb Pogudin

doi:10.1016/j.jalgebra.2018.01.027

Products of ideals and jet schemes

Gleb Pogudin

Johannes Kepler University Linz

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In the present paper, we give a full description of the jet schemes of the polynomial ideal (x₁⋯x_n)∈k[x₁,…,x_n] over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.

langue originale	Anglais
Pages (de - à)	61-78
Nombre de pages	18
journal	Journal of Algebra
Volume	502
Les DOIs	https://doi.org/10.1016/j.jalgebra.2018.01.027
état	Publié - 15 mai 2018
Modification externe	Oui

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10.1016/j.jalgebra.2018.01.027

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title = "Products of ideals and jet schemes",

abstract = "In the present paper, we give a full description of the jet schemes of the polynomial ideal (x1⋯xn)∈k[x1,…,xn] over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.",

keywords = "Algebraic differential equations, Differential polynomials, Jets schemes",

author = "Gleb Pogudin",

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year = "2018",

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AU - Pogudin, Gleb

PY - 2018/5/15

Y1 - 2018/5/15

N2 - In the present paper, we give a full description of the jet schemes of the polynomial ideal (x1⋯xn)∈k[x1,…,xn] over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.

AB - In the present paper, we give a full description of the jet schemes of the polynomial ideal (x1⋯xn)∈k[x1,…,xn] over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.

KW - Algebraic differential equations

KW - Differential polynomials

KW - Jets schemes

UR - https://www.scopus.com/pages/publications/85044568157

U2 - 10.1016/j.jalgebra.2018.01.027

DO - 10.1016/j.jalgebra.2018.01.027

M3 - Article

AN - SCOPUS:85044568157

SN - 0021-8693

VL - 502

SP - 61

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Products of ideals and jet schemes

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