Results 31 to 40 of about 275,582 (319)
Journal of Computational and Applied Mathematics, 2002 AbstractA piecewise algebraic curve is defined by a bivariate spline function. Using the techniques of the B-net form of bivariate splines function, discriminant sequence of polynomial (cf. Yang Lu et al. (Sci. China Ser. E 39(6) (1996) 628) and Yang Lu et al.
Yi-Sheng Lai, Ren-Hong Wang
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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
International Journal of Mathematics and Mathematical Sciences, 2012 A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
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Symmetry breaking in quantum curves and super Chern-Simons matrix models
Journal of High Energy Physics, 2019 It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super ...
Naotaka Kubo +2 more
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Algebraic curves and maximal arcs [PDF]
Journal of Algebraic Combinatorics, 2008 3 Figures Several changes advised by the ...
AGUGLIA, Angela +2 more
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Algebraic curves and cryptography
Finite Fields and Their Applications, 2005 AbstractAlgebraic curves over finite fields are being extensively used in the design of public-key cryptographic schemes. This paper surveys some topics in algebraic curve cryptography, with an emphasis on recent developments in algorithms for the elliptic and hyperelliptic curve discrete logarithm problems, and computational problems in pairing-based ...
Steven D. Galbraith, Alfred Menezes
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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 the first author with Artal and Florens.
Guerville-Ballé, Benoît +1 more
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On a class of invariant algebraic curves for Kukles systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna +2 more
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Algebraic Curves and Their Applications
, 2019 An irreducible, algebraic curve $\mathcal X_g$ of genus $g\geq 2$ defined over an algebraically closed field $k$ of characteristic $\mbox{char } \, k = p \geq 0$, has finite automorphism group $\mbox{Aut} (\mathcal X_g)$. In this paper we describe methods of determining the list of groups $\mbox{Aut} (\mathcal X_g)$ for a fixed $g\geq 2$.
Broughton, Allen +2 more
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On convolutions of algebraic curves
Journal of Symbolic Computation, 2010 AbstractWe focus on the investigation of relations between plane algebraic curves and their convolution. Since the convolution of irreducible algebraic curves is not necessarily irreducible, an upper bound for the number of components is given. Then, a formula expressing the convolution degree using the algebraic degree and the genus of the curve is ...
Jan Vrek, Miroslav Lávika
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Ecological Applications, Volume 32, Issue 8, December 2022., 2022 Abstract Coastal wetlands are globally important stores of carbon (C). However, accelerated sea‐level rise (SLR), increased saltwater intrusion, and modified freshwater discharge can contribute to the collapse of peat marshes, converting coastal peatlands into open water.
Khandker S. Ishtiaq +8 more
wiley +1 more source