Results 21 to 30 of about 3,573,561 (343)
A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic [PDF]
, 2007 We compute some value of the harmonic volume for the Fermat sextic. Using this computation, we prove that some special algebraic cycle in the Jacobian variety of the Fermat sextic is not algebraically equivalent to zero.
Y. Tadokoro
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Cycles in Algebraic Systems [PDF]
Proceedings of the American Mathematical Society, 1956 2. Cycles and their terminology. Let L be an n Xn Latin square or, alternatively, let Q be a quasigroup of order n. Let M be the set of n2 ordered triplets ijk, where k is the entry in the ith row and jth column of L. If S is the set of n2 ordered pairs ij, and if rir: M->S is the projection parallel to the ith coordinate (for example, ir2(ijk) =ik ...
Sherman K. Stein, D. A. Norton
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Complex Manifolds, 2020 We show that a 2k-current T on a complex manifold is a real holomorphic k-chain if and only if T is locally real rectifiable, d-closed and has ℋ2k-locally finite support. This result is applied to study homology classes represented by algebraic cycles.
Teh Jyh-Haur, Yang Chin-Jui
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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Algebraic cycles and Verra fourfolds [PDF]
Tohoku Mathematical Journal, 2020 This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K nneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.
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The Algebra of Mirkovic-Vilonen Cycles in Type A [PDF]
Pure and Applied Mathematics Quarterly, 2006 Let Gr be the affine Grassmannian for a connected complex reductive group G. Let C_G be the complex vector space spanned by (equivalence classes of) Mirkovic-Vilonen cycles in Gr. The Beilinson-Drinfeld Grassmannian can be used to define a convolution product on MV-cycles, making C_G into a commutative algebra.
Jared E. Anderson, M. G. Kogan
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Algebraic features of algorithm composition for calculating fractal structure [PDF]
E3S Web of Conferences, 2020 The construction methods analysis of known geometric fractals allows us to reveal algebraic features of fractal algorithms composition. The main concept of the analysis results is fractal operators which are basic operations for constructing fractals of ...
Maikov K.A. +3 more
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Algebraic equivalence of real algebraic cycles [PDF]
Annales de l’institut Fourier, 1999 Etant donne une variete algebrique reelle compacte non singuliere, on etudie les classes de cohomologie algebrique donnees par les cycles algebriques, algebriquement equivalents a zero.
Miguel A. Abánades, Wojciech Kucharz
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Algebraic methods in the congested clique [PDF]
Distributed computing, 2015 In this work, we use algebraic methods for studying distance computation and subgraph detection tasks in the congested clique model. Specifically, we adapt parallel matrix multiplication implementations to the congested clique, obtaining an O(n1-2/ω ...
K. Censor-Hillel +5 more
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Descent of algebraic cycles [PDF]
Homology, Homotopy and Applications, 2017 We characterize universally generalizing morphisms which satisfy descent of algebraic cycles integrally as those universally generalizing morphisms which are surjective with generically reduced fibres. In doing so, we introduce a naive pull-back of cycles for arbitrary morphisms between noetherian schemes, which generalizes the classical pull-back for ...
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