Zobrazeno 1 - 10 of 590 pro vyhledávání: '"[MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC]"'
1
Curve valuations and mixed volumes in the implicitization of rational varieties
Autor: Alicia Dickenstein, María Isabel Herrero, Bernard Mourrain
Publikováno v: Journal of Algebra
Journal of Algebra, 2022, 612, pp.691-721. ⟨10.1016/j.jalgebra.2022.08.026⟩
International audience; We address the description of the tropicalization of families of rational varieties under parametrizations with prescribed support, via curve valuations. We recover and extend results by Sturmfels, Tevelev and Yu for generic c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7716c6324ecc192055eef68d8ea6d23
https://doi.org/10.1016/j.jalgebra.2022.08.026
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2
On the algebraic dependence of holonomic functions
Autor: Roques, Julien, Singer, Michael F.
Publikováno v: Annales Henri Lebesgue. 5:141-177
We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and are algebraically dependent, we give conditions on the differential Gal
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d005b284d5574e1e3290f9dba25c0c4
https://doi.org/10.5802/ahl.120
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3
Sur les Initiaux et le Théorème Fondamental de la Géométrie Différentielle Tropicale Partielle
Autor: Falkensteiner, Sebastian, Garay-Lopez, Cristhian Emmanuel, Haiech, Mercedes, Noordman, Marc Paul, Boulier, François, Toghani, Zeinab
Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2023, 115C, pp.53-73. ⟨10.1016/j.jsc.2022.08.005⟩
Journal of Symbolic Computation, Elsevier, In press
International audience
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::275d8e91124287d6dca664d47ff01d16
https://hal.science/hal-03122437
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4
Infinis morphismes de Leibniz pour les crochets dérivés
Autor: Camille Laurent-Gengoux, Mohsen Masmoudi
Publikováno v: Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2021, 30 (1), pp.1-31. ⟨10.5802/afst.1664⟩
The derived bracket of a Maurer-Cartan element in a differential graded Lie algebra (DGLA) is well-known to define a differential graded Leibniz algebra. It is also well-known that a Lie infinity morphism between DGLAs maps a Maurer-Cartan element to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::adf6644ec440c7a634884b398fa58e33
https://doi.org/10.5802/afst.1664
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5
On nonsingularity of circulant matrices
Autor: Zhangchi Chen
Publikováno v: Linear Algebra and its Applications. 612:162-176
In Communication theory and Coding, it is expected that certain circulant matrices having $k$ ones and $k+1$ zeros in the first row are nonsingular. We prove that such matrices are always nonsingular when $2k+1$ is either a power of a prime, or a pro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b6afd939bede3237e91b5ffc835e9c8
https://doi.org/10.1016/j.laa.2020.12.010
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7
A Direttissimo Algorithm for Equidimensional Decomposition
Autor: Eder, Christian, Lairez, Pierre, Mohr, Rafael, Safey El Din, Mohab
Publikováno v: ISSAC '23: Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation
ISSAC 2023-48th International Symposium on Symbolic and Algebraic Computation
ISSAC 2023-48th International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromsø, Norway
We describe a recursive algorithm that decomposes an algebraic set into locally closed equidimensional sets, i.e. sets which each have irreducible components of the same dimension. At the core of this algorithm, we combine ideas from the theory of tr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b63ec2a6bd2c5a64c2cf1e3ebbb4067e
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8
Tri-linear birational maps in dimension three
Autor: Busé, Laurent, González-Mazón, Pablo, Schicho, Josef
Publikováno v: Mathematics of Computation
Mathematics of Computation, 2023, 92, pp.1837-1866. ⟨10.1090/mcom/3804⟩
A tri-linear rational map in dimension three is a rational map $\phi: (\mathbb{P}_\mathbb{C}^1)^3 \dashrightarrow \mathbb{P}_\mathbb{C}^3$ defined by four tri-linear polynomials without a common factor. If $\phi$ admits an inverse rational map $\phi^
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::088775951a78a4a3a451a59ab2d07227
https://inria.hal.science/hal-03839067
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9
On the set of bad primes in the study of Casas-Alvero Conjecture
Autor: Schaub, Daniel, Spivakovsky, Mark
The Casas-Alvero conjecture predicts that every univariate polynomial over a field of characteristic zero having a common factor with each of its derivatives $H_i (f )$ is a power of a linear polynomial. One approach to proving the conjecture is to f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::453ab92c7cae6c365ddd4336b6081861
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10
Duality of Codes over Non-unital Rings of Order Four
Autor: Adel Alahmadi, Asmaa Melaibari, Patrick Solé
Publikováno v: IEEE Access
IEEE Access, 2023, 30, pp.1-1. ⟨10.1109/ACCESS.2023.3261131⟩
International audience; In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely I, E , and H as denoted in (Fine, 1993). A new notion of duality is introduced in the case of the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b4252eae8f244d7e0623ef4ed131c2e
https://hal.science/hal-04089525/document
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