Results 31 to 40 of about 123,228 (271)
Analytic residues along algebraic cycles
Journal of Complexity, 2005 We present a restricted version of some affine Jacobi's residue formula (on an affine algebraic variety) with applications to higher dimensional (and affine) analogues of Wood's (or Reiss's) relations about the interpolation of pieces of analytic manifolds.
Berenstein, Carlos A. +5 more
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Monodromy of an Inhomogeneous Picard-Fuchs Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The global behaviour of the normal function associated with van Geemen's family of lines on the mirror quintic is studied. Based on the associated inhomogeneous Picard-Fuchs equation, the series expansions around large complex structure, conifold, and ...
Guillaume Laporte, Johannes Walcher
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A remark on Beauville's splitting property
, 2017 Let $X$ be a hyperk\"ahler variety. Beauville has conjectured that a certain subring of the Chow ring of $X$ should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on $X$ modulo algebraic equivalence: a ...
Laterveer, Robert
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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 on a very special EPW sextic
, 2017 Motivated by the Beauville-Voisin conjecture about Chow rings of powers of $K3$ surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by Donten-Bury et
Laterveer, Robert
core +1 more source
Journal of Pure and Applied Algebra, 1995 Let \(A\) be a finite dimensional algebra over an algebraically closed field, and \(\text{mod }A\) denote the category of its finitely generated right modules. Then \(A\) is said to be cycle-finite if, for every sequence \(M_0 @>f_1>> M_1 @>f_2>> M_2\to\dots @>f_n>> M_n=M_0\) of non-zero non-isomorphisms between indecomposable objects in \(\text{mod }A\
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Hybrid V-Cycle Algebraic Multilevel Preconditioners [PDF]
Mathematics of Computation, 1992 The paper describes a new algebraically defined multilevel preconditioner for the finite element matrix arising from the discretization of a second-order selfadjoint elliptic boundary value problem. The construction of the preconditioner is based on a sequence of grids (levels) given by successive refinement and the corresponding hierarchical two-by ...
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On minimum algebraic connectivity of graphs whose complements are bicyclic
Open Mathematics, 2019 The second smallest eigenvalue of the Laplacian matrix of a graph (network) is called its algebraic connectivity which is used to diagnose Alzheimer’s disease, distinguish the group differences, measure the robustness, construct multiplex model ...
Liu Jia-Bao +3 more
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
wiley +1 more source
Smoothness in Binomial Edge Ideals
Mathematics, 2016 In this paper we study some geometric properties of the algebraic set associated to the binomial edge ideal of a graph. We study the singularity and smoothness of the algebraic set associated to the binomial edge ideal of a graph. Some of these algebraic
Hamid Damadi, Farhad Rahmati
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