Results 21 to 30 of about 14,963 (314)
Sur l'existence du sch\'ema en groupes fondametal [PDF]
Épijournal de Géométrie Algébrique, 2020 Let $S$ be a Dedekind scheme, $X$ a connected $S$-scheme locally of finite type and $x\in X(S)$ a section. The aim of the present paper is to establish the existence of the fundamental group scheme of $X$, when $X$ has reduced fibers or when $X$ is ...
Marco Antei +2 more
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Construction of Complex Lattice Codes via Cyclotomic Fields
Trends in Computational and Applied Mathematics, 2022 Through algebraic number theory and Construction $A$ we extend an algebraic procedure which generates complex lattice codes from the polynomial ring \mathbb{F}_{2}[x]/(x^{n}-1), where \mathbb{F}_{2}=\{0,1\}, by using ideals from the generalized ...
E. D. Carvalho +3 more
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Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$.
Federico Scavia
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Formal deformations of the algebra of Jacobi forms and Rankin–Cohen brackets
Comptes Rendus. Mathématique, 2021 This work is devoted to the algebraic and arithmetic properties of Rankin–Cohen brackets allowing to define and study them in several natural situations of number theory.
Choie, YoungJu +3 more
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Variation of stable birational types in positive characteristic [PDF]
Épijournal de Géométrie Algébrique, 2020 Let k be an uncountable algebraically closed field and let Y be a smooth projective k-variety which does not admit a decomposition of the diagonal. We prove that Y is not stably birational to a very general hypersurface of any given degree and dimension.
Stefan Schreieder
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Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree
Mathematics, 2023 Let α and β be two algebraic numbers such that deg(α)=m and deg(β)=p, where p is a prime number not dividing m. This research is focused on the following two objectives: to discover new conditions under which deg(αβ)=mp; to determine the complete list of
Paulius Virbalas
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A Topological Perspective on Interacting Algebraic Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
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GiANT: Graphical Algebraic Number Theory [PDF]
Journal de théorie des nombres de Bordeaux, 2008 While most algebra is done by writing text and formulas, diagrams have always been used to present structural information clearly and concisely. Text shells are the de facto interface for computational algebraic number theory, but they are incapable of presenting structural information graphically.
Karve, Aneesh, Pauli, Sebastian
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SICs and Algebraic Number Theory [PDF]
Foundations of Physics, 2017 15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby +3 more
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A construction of the polylogarithm motive [PDF]
Épijournal de Géométrie AlgébriqueClassical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation.
Clément Dupont, Javier Fresán
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