132,083 research outputs found

    NonEinsteinian gravity with torsion at d = 2

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    Kummer W, Schwarz D. NonEinsteinian gravity with torsion at d = 2. Phys. Rev. . 1991

    A Generalized Problem Associated to the Kummer–Vandiver Conjecture

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    In order to discuss the validity of the Kummer-Vandiver conjecture, we consider a generalized problem associated to the conjecture. Let p be an odd prime number and ζp a primitive p-th root of unity. Using new programs, we compute the Iwasawa invariants of Q(√d, ζp) in the range |d| 1,000,000. We give two partial reasons why it is difficult to find exceptional cases for d = 1 including counter-examples to the Kummer-Vandiver conjecture

    Algebraic geometric codes on many points from Kummer extensions

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    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. For many totally ramified places we give a criterion to find pure gaps at these points and present families of pure gaps. We then apply our results to construct n-points algebraic geometric codes with good parameters

    The bluebird waltz [music] /

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    For piano.; Cover title.; Also available online http://nla.gov.au/nla.mus-vn786490; N, MUSM 142235; A,-; N/A, MUS GE 83418

    Kummer surfaces and K3 surface with (Z/2Z)^4 symplectic action

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    In the first part of this paper we give a survey of classical results on Kummer surfaces with Picard number 17 from the point of view of lattice theory. We prove ampleness properties for certain divisors on Kummer surfaces, and we use them to describe projective models of Kummer surfaces of (1, d)-polarized abelian surfaces for d = 1, 2, 3. As a consequence, we prove that, in these cases, the Neron-Severi group can be generated by lines. In the second part of the paper we use Kummer surfaces to obtain results on K3 surfaces with a symplectic action of the group (Z/2Z)^4. In particular, we describe the possible Neron-Severi groups of the latter in the case that the Picard number is 16, which is the minimal possible. We also describe the N ́eron-Severi groups of the minimal resolution of the quotient surfaces which have 15 nodes. We extend certain classical results on Kummer surfaces to these families

    Two-dimensional R**2 gravity with torsion

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    Kummer W, Schwarz D. Two-dimensional R**2 gravity with torsion. Class.Quant.Grav. 1993;10(S):S235-S237

    Kummer subfields of tame division algebras over Henselian fields

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    By generalizing the method used by Tignol and Amitsur in [J.-P. Tignol, S.A. Amitsur, Kummer subfields of Malcev-Neumann division algebras, Israel Journal of Math. 50 (1985). 114-144], we determine necessary and sufficient conditions for an arbitrary central division algebra D over a Henselian valued field E to have Kummer subfields when the characteristic of the residue field (E) over bar of E does not divide the degree of D. We prove also that if D is a semiramified division algebra of degree n [resp., of prime power degree p(r)] over E Such that char((E) over bar) does not divide n and rk(Gamma(D)/Gamma(E)) >= 3 [resp., p not equal char((E) over bar) and p(3) divides exp (Gamma(D)/Gamma(E))], then D is non-cyclic [resp., D is not an elementary abelian crossed product]. (C) 2009 Elsevier B.V. All rights reserved
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