Results 31 to 40 of about 3,127 (285)
Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
, 2005 Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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Notes on exchange interactions in holographic p-adic CFT
Physics Letters B, 2017 There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability to the holographic setting.
Parikshit Dutta +2 more
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Multiplication polynomials and relative Manin-Mumford [PDF]
, 2015 After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is $(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
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On multiplication in algebraic extension fields
Theoretical Computer Science, 1979 AbstractIn this paper we characterize all algorithms for obtaining the coefficients of (Σn−1i=0 xiui)(Σn−1i=0 yiui) mod P(u), where P(u) is an irreducible po lynomial of degree n, which use 2n − 1 multiplications. It is shown that up to equivalence, all such algorithms are obtainable by first obtaining the coefficients of the product of two polynomials,
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Integrability of conformal blocks. Part I. Calogero-Sutherland scattering theory
Journal of High Energy Physics, 2018 Conformal blocks are the central ingredient of the conformal bootstrap programme. We elaborate on our recent observation that uncovered a relation with wave functions of an integrable Calogero-Sutherland Hamiltonian in order to develop a systematic ...
Mikhail Isachenkov, Volker Schomerus
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Piecewise hereditary algebras under field extensions [PDF]
Czechoslovak Mathematical Journal, 2021 Let $A$ be a finite-dimensional $k$-algebra and $K/k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A\otimes_kK$.
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Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
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The Field of Norms Functor and the Hilbert Symbol [PDF]
, 2010 The classical Hilbert symbol of a higher local field $F$ containing a primitive $p^M$-th root of unity $\zeta_M$ is a pairing $F^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}$, describing Kummer extensions of exponent $p^M$.
JENNI, RUTH,CHRISTINE +1 more
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Algebraic geometric codes on many points from Kummer extensions [PDF]
, 2018 For Kummer extensions defined by ym=f(x), where f(x) is a separable polynomial over the finite field Fq, we compute the number of Weierstrass gaps at two totally ramified places.
Quoos L., Zini G., Bartoli D.
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