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JSC
2007
119views more  JSC 2007»
13 years 4 months ago
Equisingular calculations for plane curve singularities
We present an algorithm which, given a deformation with section of a reduced plane curve singularity, computes equations for the equisingularity stratum (that is, the µ-constant s...
Antonio Campillo, Gert-Martin Greuel, Christoph Lo...
ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
13 years 8 months ago
Numerical Uniformization of Hyperelliptic Curves
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
Klaus-Dieter Semmler, Mika Seppälä
CAGD
2004
136views more  CAGD 2004»
13 years 4 months ago
Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
ANTS
2010
Springer
250views Algorithms» more  ANTS 2010»
13 years 8 months ago
A Subexponential Algorithm for Evaluating Large Degree Isogenies
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip...
David Jao, Vladimir Soukharev
WISTP
2009
Springer
13 years 11 months ago
Algebraic Attacks on RFID Protocols
Abstract. This work aims to identify the algebraic problems which enable many attacks on RFID protocols. Toward this goal, three emerging types of attacks on RFID protocols, concer...
Ton van Deursen, Sasa Radomirovic