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491
On the arithmetic of twists of superelliptic curves
, 2005
"... In this paper, we consider a family of twists of a superelliptic curve over a global field, and obtain results on the distribution of the MordellWeil rank of these twists. Our results have applications to the distribution of the number of rational points. 1. ..."
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Cited by 3 (2 self)
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In this paper, we consider a family of twists of a superelliptic curve over a global field, and obtain results on the distribution of the MordellWeil rank of these twists. Our results have applications to the distribution of the number of rational points. 1.
EXERCISES IN THE BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES
, 2008
"... The book [KM98] gave an introduction to the birational geometry of algebraic varieties, as the subject stood in 1998. The developments of the last decade made the more advanced parts of Chapters 6 and 7 less important and the detailed treatment of surface singularities in Chapter 4 less necessary. H ..."
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Cited by 322 (1 self)
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The book [KM98] gave an introduction to the birational geometry of algebraic varieties, as the subject stood in 1998. The developments of the last decade made the more advanced parts of Chapters 6 and 7 less important and the detailed treatment of surface singularities in Chapter 4 less necessary
Pyramidal parametrics
 Computer Graphics (SIGGRAPH ’83 Proceedings
, 1983
"... The mapping of images onto surfaces may substantially increase the realism and information content of computergenerated imagery. The projection of a flat source image onto a curved surface may involve sampling difficulties, however, which are compounded as the view of the surface changes. As the pr ..."
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Cited by 304 (1 self)
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The mapping of images onto surfaces may substantially increase the realism and information content of computergenerated imagery. The projection of a flat source image onto a curved surface may involve sampling difficulties, however, which are compounded as the view of the surface changes
Forecasting the term structure of government bond yields
 Journal of Econometrics
, 2006
"... Despite powerful advances in yield curve modeling in the last twenty years, comparatively little attention has been paid to the key practical problem of forecasting the yield curve. In this paper we do so. We use neither the noarbitrage approach, which focuses on accurately fitting the cross sectio ..."
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Cited by 287 (16 self)
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Despite powerful advances in yield curve modeling in the last twenty years, comparatively little attention has been paid to the key practical problem of forecasting the yield curve. In this paper we do so. We use neither the noarbitrage approach, which focuses on accurately fitting the cross
CURVES AND THEIR APPLICATIONS TO FACTORING POLYNOMIALS
, 2009
"... We present new methods for computing square roots and factorization of polynomials over finite fields. We also describe a method for computing in the Jacobian of a singular hyperelliptic curve. There is a compact representation of an element in the Jacobian of a smooth hyperelliptic curve over any ..."
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for small genus and this makes our algorithms especially computing square roots algorithms competitive with the other wellknown algorithms. In this work we also investigate superelliptic curves for factorization of polynomials.
Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves
 Workshop on Cryptographic Hardware and Embedded Systems — CHES 2003
, 2003
"... For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic curve cryptosystems (ECC) and are, thus, not too attractive for practical applications. Only quite recently improvements ha ..."
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Cited by 42 (12 self)
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For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic curve cryptosystems (ECC) and are, thus, not too attractive for practical applications. Only quite recently improvements
Materials for an exploratory theory of the network society.
 The British Journal of Sociology
, 2000
"... ABSTRACT This article aims at proposing some elements for a grounded theor y of the network society. The network society is the social structure characteristic of the Information Age, as tentatively identi ed by empirical, crosscultural investigation. It permeates most societies in the world, in v ..."
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Cited by 122 (0 self)
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in technical relationships, which are socially conditioned, so in itself it is not an independent, nonhuman dimension. In principle, because it is the application of knowledge to obtain a product of some kind, it could be assigned primarily to the process of production, in which we could then distinguish
Advanced Hypertrochoid Curve in the Inner Surface of its Stator
"... Abstract: The possibility of application of the advanced hypertrochoid curve in the inner surface of the stator of fixed displacement hydraulic vane pump, theoretically was studied in the last our work. By considering the properties of this curve, sealing action between pressure and suction sides of ..."
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Abstract: The possibility of application of the advanced hypertrochoid curve in the inner surface of the stator of fixed displacement hydraulic vane pump, theoretically was studied in the last our work. By considering the properties of this curve, sealing action between pressure and suction sides
Isomorphism Classes Of Picard Curves Over Finite Fields
, 2003
"... In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves y³ = f(x) of genus three, over finite fields of characteristic different from 3. In the process of doing this we also provide reduced forms of Picard curves together the number of such ..."
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In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves y³ = f(x) of genus three, over finite fields of characteristic different from 3. In the process of doing this we also provide reduced forms of Picard curves together the number
Pythagorean Hodograph Curves: A Survey of Recent Advances
"... Pythagorean hodograph (PH) curves, defined by Farouki and Sakkalis in 1990, and their applications in offsetting, CNC machining, motion planning etc., have become an active research area in recent years. These curves (and other objects with a Pythagorean property) have fascinated many researchers ..."
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Pythagorean hodograph (PH) curves, defined by Farouki and Sakkalis in 1990, and their applications in offsetting, CNC machining, motion planning etc., have become an active research area in recent years. These curves (and other objects with a Pythagorean property) have fascinated many researchers
Results 1  10
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491