Results 11 to 20 of about 192 (184)
A linking invariant for algebraic curves [PDF]
L’Enseignement Mathématique, 2020 We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation of the linking number of knot theory. This invariant is shown to be a generalization of the \mathcal I -invariant of line arrangements developed by ...
Guerville-Ballé, Benoît +1 more
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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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Explicit travelling waves and invariant algebraic curves
Nonlinearity, 2015 In this paper we introduce a precise definition of algebraic traveling wave solution for general n-th order partial differential equations. All examples of explicit traveling waves known by the authors fall in this category. Our main result proves that algebraic traveling waves exist if and only if an associated n- dimensional first order ordinary ...
Gasull, Armengol, Giacomini, Hector
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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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Algebraic Entropy of Birational Maps with Invariant Curves [PDF]
Letters in Mathematical Physics, 1999 11 pages, no ...
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On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves
Advances in Applied Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mustafa Unel, William A. Wolovich
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Wetting, Algebraic Curves, and Conformal Invariance
Physical Review LettersRecent studies of wetting in a two-component square-gradient model of interfaces in a fluid mixture, showing three-phase bulk coexistence, have revealed some highly surprising features. Numerical results show that the density profile paths, which form a tricuspid shape in the density plane, have curious geometric properties, while conjectures for the ...
A. O. Parry, C. Rascón
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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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A NOTE ABOUT INVARIANTS OF ALGEBRAIC CURVES
Albanian Journal of Mathematics, 2012 8 pages ...
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The method of Puiseux series and invariant algebraic curves [PDF]
Communications in Contemporary Mathematics, 2021 An explicit expression for the cofactor related to an irreducible invariant algebraic curve of a polynomial dynamical system in the plane is derived. A sufficient condition for a polynomial dynamical system in the plane to have a finite number of irreducible invariant algebraic curves is obtained.
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