Results 31 to 40 of about 382,616 (334)
Nontrivial Galois module structure of cyclotomic fields [PDF]
, 2002 We say a tame Galois field extension $L/K$ with Galois group $G$ has trivial Galois module structure if the rings of integers have the property that $\Cal{O}_{L}$ is a free $\Cal{O}_{K}[G]$-module.
Conrad, Marc, Replogle, Daniel R.
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Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]
, 2001 It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas +16 more
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Propulsion and Power Research, 2021 Time-dependent viscous fluid flow due to a stretchable rotating disk is investigated. Magnetic field is applied in vertical direction to the disk. Temperature equation is assisted with Joule heating effect.
Salman Ahmad +4 more
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On a theorem of Ax and Katz [PDF]
, 2015 The well-known theorem of Ax and Katz gives a p-divisibility bound for the number of rational points on an algebraic variety V over a finite field of characteristic p in terms of the degree and number of variables of defining polynomials of V.
Zhu, Hui June
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On the Units of Algebraic Number Fields
Journal of Number Theory, 1994 Let \(K\) be an algebraic number field of degree \(n\) over the rational number field and \(k\) be a proper subfield of \(K\) with \([K: k]=m\). Further, let \(R_ 1\), \(r_ 1\) denote the number of embeddings of \(K\), \(k\) into the real numbers and \(2R_ 2\), \(2r_ 2\) denote the numbers of embeddings of \(K\), \(k\) into the complex numbers.
Yamaguchi, I., Takeuchi, H.
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Infinite Dimensional Free Algebra and the Forms of the Master Field [PDF]
, 1999 We find an infinite dimensional free algebra which lives at large N in any SU(N)-invariant action or Hamiltonian theory of bosonic matrices. The natural basis of this algebra is a free-algebraic generalization of Chebyshev polynomials and the dual basis ...
C. SCHWARTZ +3 more
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Tropical Effective Primary and Dual Nullstellens\"atze [PDF]
, 2015 Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
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On the number of homotopy types of fibres of a definable map [PDF]
, 2007 In this paper we prove a single exponential upper bound on the number of possible homotopy types of the fibres of a Pfaffian map, in terms of the format of its graph.
Basu, Saugata, Vorobjov, Nicolai
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Bicyclic commutator quotients with one non-elementary component [PDF]
Mathematica Bohemica, 2023 For any number field $K$ with non-elementary $3$-class group ${\rm Cl}_3(K)\simeq C_{3^e}\times C_3$, $e\ge2$, the punctured capitulation type $\varkappa(K)$ of $K$ in its unramified cyclic cubic extensions $L_i$, $1\le i\le4$, is an orbit under the ...
Daniel C. Mayer
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The Genus Field and Genus Number in Algebraic Number Fields [PDF]
Nagoya Mathematical Journal, 1967 Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k2). We call the degree (K*: K) the genus number of K over k.
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