Results 11 to 20 of about 3,573,561 (343)
Periods of linear algebraic cycles [PDF]
Pure and Applied Mathematics Quarterly, 2017 In this article we use a theorem of Carlson and Griffiths and compute periods of linear algebraic cycles inside the Fermat variety of even dimension $n$ and degree $d$.
H. Movasati, Roberto Villaflor Loyola
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Algebraic Cycles and Intersection Homology [PDF]
Proceedings of the American Mathematical Society, 1988 We consider Dubson’s conjecture that the fundamental class in homology of an algebraic cycle on a complex algebraic variety is the image of a middle intersection homology class. In the case when the variety has only isolated singularities, we prove it for rational coefficients, and we give a counterexample to it for integral ...
Shoji Yokura
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Algebraic cycles and approximation theorems in real algebraic geometry [PDF]
Transactions of the American Mathematical Society, 1993 Let Af be a compact C°° manifold. A theorem of Nash-Tognoli asserts that M has an algebraic model, that is, M is diffeomorphic to a nonsingular real algebraic set X. Let FV^AfX, Z/2) denote the subgroup of Hk(X, Z/2) of the cohomology classes determined by algebraic cycles of codi- mension k on X. Assuming that M is connected, orientable and dim M > 5 ,
Jacek Bochnak, Wojciech Kucharz
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Algebraicity of cycles on smooth manifolds [PDF]
Selecta Mathematica, 2011 According to the Nash–Tognoli theorem, each compact smooth manifold M is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of M. It is interesting to investigate to what extent algebraic and differential topology of compact smooth manifolds can be transferred into the algebraic-geometric setting.
Wojciech Kucharz
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Deformation of algebraic cycle classes in characteristic zero [PDF]
, 2013 We study a formal deformation problem for rational algebraic cycle classes motivated by Grothendieck's variational Hodge conjecture. We argue that there is a close connection between the existence of a Chow-K\"unneth decomposition and the existence of ...
S. Bloch, H. Esnault, M. Kerz
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Accelerated battery lifetime simulations using adaptive inter-cycle extrapolation algorithm
Journal of the Electrochemical Society, 2021 We propose algorithms to speed up physics-based battery lifetime simulations by one to two orders of magnitude compared to the state-of-the-art. First, we propose a reformulation of the Single Particle Model with side reactions to remove algebraic ...
V. Sulzer +4 more
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Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We consider the Rayleigh equation $\ddot{x} + \lambda (\dot{x}^2/3-1)\dot{x} +x=0$ depending on the real parameter $\lambda$ and construct a Poincaré–Bendixson annulus $\mathcal{A}_\lambda$ in the phase plane containing the unique limit cycle $\Gamma_ ...
Alexander Grin, Klaus Schneider
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Algebraic cycles and the classical groups II: Quaternionic cycles [PDF]
Geometry & Topology, 2005 Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper27.abs ...
H. Blaine Lawson +2 more
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THE CERESA CLASS: TROPICAL, TOPOLOGICAL AND ALGEBRAIC [PDF]
Journal of the Institute of Mathematics of Jussieu, 2020 The Ceresa cycle is an algebraic cycle attached to a smooth algebraic curve with a marked point, which is trivial when the curve is hyperelliptic with a marked Weierstrass point.
Dan Corey, J. Ellenberg, Wanlin Li
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The Ext algebra of a quantized cycle [PDF]
Journal de l’École polytechnique — Mathématiques, 2019 Given a quantized analytic cycle $(X, )$ in $Y$, we give a categorical Lie-theoretic interpretation of a geometric condition, discovered by Shilin Yu, that involves the second formal neighbourhood of $X$ in $Y$. If this condition (that we call tameness) is satisfied, we prove that the derived Ext algebra $\mathcal{RH}om_{\mathcal{O}_Y}(\mathcal{O}_X,
Calaque, Damien, Grivaux, Julien
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