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Mobius parametrizations of curves in R-n
(BIRKHAUSER VERLAG AG, 2009)
We use Ahlfors' definition of Schwarzian derivative for curves in euclidean spaces to present new results about Mobius or projective parametrizations. The class of such parametrizations is invariant under compositions with ...
Nowhere vanishing torsion closed curves always hide twice
(Kluwer Academic PublDordrechtHolanda, 1997)
A family of implementation-friendly BN elliptic curves
(ELSEVIER SCIENCE INC, 2011)
For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it provides with relatively small keys and to ...
General criteria for curves to be simple
(2018)
We extend previous results for parametrized curves in euclidean space to be simple. The new condition depends as before on Ahlfors' Schwarzian and considers a conformal metric on a given interval and the new diameter. We ...
Arrangements of rational sections over curves and the varieties they define
(EUROPEAN MATHEMATICAL SOC, 2011)
We introduce arrangements of rational sections over curves. They generalize line arrangements on P-2. Each arrangement of d sections defines a single curve in Pd-2 through the Kapranov's construction of (M) over bar (0,d+1). ...
A structuralist Philips curve
(2011-10)
This paper presents a structuralist model of the Philips curve and applies it to the US and Brazilian economies. The theoretical model starts from a simple markup rule to build a Philips curve based on the assumptions that ...