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On the locus of higher order jets of entire curves in complex projective varieties
For a given complex projective variety, the existence of entire curves is strongly constrained by the positivity properties of the cotangent bundle....
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Elliptic Curves over the Rationals
This chapter covers prerequisites on elliptic curves over $$\mathbb...
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Signed quasiregular curves
We define a subclass of quasiregular curves, called signed quasiregular curves, which contains holomorphic curves and quasiregular map**s. As our...
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Geometrical Design: Bézier Curves and Surfaces
Many fields in the computational science area need descriptions of complex objects: virtual reality, computational graphics, geometric modeling, and...
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PQC CSIKE Algorithm on Non-Cyclic Edwards Curves
An original CSIKE post-quantum cryptography algorithm is proposed as a modification of the CSIDH algorithm but with one public key instead of two....
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An Inverse Problem for Sturm–Liouville Operators with a Piecewise Entire Potential and Discontinuity Conditions of Solutions on a Curve
Under consideration is a Sturm–Liouville equation with a piecewise entire potential and discontinuity conditions independent of the spectral...
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Holomorphic Curves with Deficiencies and the Uniqueness Problem
In this note, we shall give an orverview of some results on holomorphic curves...
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Integration Over Nonrectifiable Curves as a Distribution
This paper is a review of results related to the generalization of the concept of a curvilinear integral to nonrectifiable curves, Marcinkiewicz...
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Deep hole lattices and isogenies of elliptic curves
Given a lattice L in the plane, we define the affiliated deep hole lattice H ( L ) to be spanned by a shortest vector of L and a deep hole of L ...
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Approximation in the Mean on Rational Curves
In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate the density of polynomials in Lebesgue...
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Local Maxima of White Noise Spectrograms and Gaussian Entire Functions
We confirm Flandrin’s prediction for the expected average of local maxima of spectrograms of complex white noise with Gaussian windows (Gaussian...
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Generalized Integration over Nonrectifiable Flat Curves and Boundary Value Problems
AbstractTwo closely related problems are discussed, viz., solving the Riemann boundary value problem for analytic functions and some of their...
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Curves that allow the motion of a regular polygon
This paper characterizes curves where a regular polygon of either a variable side length or a constant side length is allowed to rotate during k full...
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Fractal Laplace transform: analyzing fractal curves
The concept of Laplace transform has been extended to fractal curves, enabling the solution of fractal differential equations with constant...
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Multichannel segmentation of planar point clouds using evolving curves
The paper deals with the multichannel curve segmentation of planar point clouds, scanned by a terrestrial laser scanner (TLS), which usually...
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Fairing of planar curves to log-aesthetic curves
We present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized...
