Results 21 to 30 of about 95,578 (255)
Hall algebras and curve-counting invariants [PDF]
Journal of the American Mathematical Society, 2011 We use Joyce’s theory of motivic Hall algebras to prove that reduced Donaldson-Thomas curve-counting invariants on Calabi-Yau threefolds coincide with stable pair invariants and that the generating functions for these invariants are Laurent expansions of rational functions.
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The $16$th Hilbert problem on algebraic limit cycles [PDF]
, 2014 For real planar polynomial differential systems there appeared a simple version of the $16$th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number of algebraic limit cycles of all polynomial vector fields of degree $m ...
Xiang, Zhang
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Demonstratio Mathematica, 2023 The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R2{{\mathbb{R}}}^{2}, particularly for quadratic systems.
Benterki Rebiha, Belfar Ahlam
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Invariants of algebraic curves and topological expansion [PDF]
Communications in Number Theory and Physics, 2007 For any arbitrary algebraic curve, we define an infinite sequence of invariants. We study their properties, in particular their variation under a variation of the curve, and their modular properties. We also study their limits when the curve becomes singular.
Eynard, Bertrand, Orantin, Nicolas
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Invariant algebraic surfaces of a modified coupled dynamos model
上海师范大学学报. 自然科学版, 2019 A coupled dynamos model considering two loss characteristics can be described as a threedimensional nonlinear autonomous system proposed recently by HAO et al, which exhibits very complicated dynamics.
WU Jiankun, XIE Feng
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Classical planar algebraic curves realizable by quadratic polynomial differential systems [PDF]
, 2017 In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is ...
García, I. A. (Isaac A.), Llibre, Jaume
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Invariant hypercomplex structures and algebraic curves
Mathematische Nachrichten, 2022 AbstractWe show that ‐invariant hypercomplex structures on (open subsets) of regular semisimple adjoint orbits in correspond to algebraic curves C of genus , equipped with a flat projection of degree k, and an antiholomorphic involution covering the antipodal map on .
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Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four
Journal of Function Spaces, 2018 In this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated. Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems.
Xinli Li, Huijie Yang, Binghong Wang
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Arf invariants of real algebraic curves [PDF]
Pacific Journal of Mathematics, 2007 14 ...
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The Yang-Baxter equation for PT invariant nineteen vertex models [PDF]
, 2010 We study the solutions of the Yang-Baxter equation associated to nineteen vertex models invariant by the parity-time symmetry from the perspective of algebraic geometry.
Alcaraz F C +12 more
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