plane curves
Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves
... We assume mainly in this section that the curve C : f = 0 has some non weighted homogeneous singularity, i.e. τ (f ) = τ (C) < µ(C) = µ(f ). However, the formulas (6.1) and (6.2) hold for any reduced plane ...
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On Hodge Theory of Singular Plane Curves
... of curves having ordinary singularities and intersecting transversely at smooth points and obtain a formula in Theorem ...of plane curves with ordinary singularities of multiplicity up to 3 (without ...
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Freeness and invariants of rational plane curves
... rational plane curves and freeness properties In this section we first recall some basic facts on complex rational plane ...rational plane curve from one of its ...free plane ...
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Singular factors of rational plane curves
... LAURENT BUS ´ E AND CARLOS D’ANDREA Abstract. We give a complete factorization of the invariant factors of resul- tant matrices built from birational parameterizations of rational plane curves in terms of ...
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Poles of the topological zeta function for plane curves and Newton polyhedra
... poly` edre de Newton Abstract.— The local topological zeta function is a rational function associated to a germ of a complex holo- morphic function. This function can be computed from an embedded resolution of ...
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On the discrete logarithm problem for plane curves
... On the discrete logarithm problem for plane curves Tome 24, n o 3 (2012), p. 639-667. < http://jtnb.cedram.org/item?id=JTNB_2012__24_3_639_0 > © Société Arithmétique de Bordeaux, 2012, tous droits ...
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On the total order of reducibility of a pencil of algebraic plane curves
... of curves into a pencil of matrices and obtain in this way the claimed bound as a consequence of rank computations of some matrices that we will study in Section ...
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An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities
... We give some reasons for motivating our choice to use Axel [13] for the imple- mentation of the algorithms. The Computational Geometry Algorithms Library, CGAL [5], implemented in C++ is the standard library in the ...
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Rigid isotopy classification of real quintic rational plane curves
... passing through q intersects C in two other points, the trigonal curve C has a node. We e mark this node in order to obtain a minimal proper model for (A, p). We are interested in the moduli space of real pointed quartic ...
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Resultant-based methods for plane curves intersection problems
... 1 Introduction We present an algorithm, which uses generalized eigenvalues and eigenvectors, for solving systems of two bivariate polynomials p(x, y) = q(x, y) = 0 in R, with p, q ∈ R[x, y]. Such a problem can be viewed ...
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Singularly perturbed phase response curves
... Nevertheless, the (non-infinitesimal) phase response curve which has proven a fundamental input–output characteris- tic for oscillator models is still meaningful. This curve is usually computed through numerical ...
1
Icosahedral invariants and Shimura curves
... Shimura curves are moduli spaces of abelian sur- faces with quaternion ...Shimura curves are very important in number ...Shimura curves with small discriminant in the weighted projective space ...
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Rational curves on compact Kaehler manifolds
... RATIONAL CURVES ON COMPACT KÄHLER MANIFOLDS JUNYAN CAO AND ANDREAS HÖRING ...rational curves on compact Kähler manifolds which are not minimal models but have a pseudoeffective canonical ...
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Plane-to-plane positioning from image-based visual servoing and structured light
... domain when using the proposed visual features is larger than when using simple image points coordinates. VI. E XPERIMENTAL RESULTS In this section the performance of the proposed set of visual features is compared with ...
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Motion field of curves : applications
... Unite´ de recherche INRIA Lorraine, Technoˆpole de Nancy-Brabois, Campus scientifique, 615 rue de Jardin Botanique, BP 101, 54600 VILLERS LE`S NANCY Unite´ de recherche INRIA Rennes, IRI[r] ...
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Elliptic curves and primality proving
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Nonstationary Temperature-Duration-Frequency curves.
... Duration-Frequency curves Taha ...(TDF) curves, which relate the intensity of heat events of different durations to their frequencies, can be useful tools for the analysis of heat ...TDF curves by ...
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Non-Intrusive In-Plane-Out-of-Plane Separated Representation in 3D Parametric Elastodynamics
... Figure 1. Case study: (a) In-plane view; (b) cross-sectional view. The force, which is applied at the center of the in-plane domain, is depicted in Figure 2 . Figure 3 illustrates the time evolution of the ...
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Trivial points on towers of curves
... of curves par Xavier XARLES ...of curves, we introduce and study trivial points on towers of curves, and we discuss their finiteness over number ...the curves in the tower, which we show under ...
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