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ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
15 years 10 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
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
15 years 8 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
SPLC
2008
15 years 8 months ago
Calculating and Modeling Common Parts of Software Product Lines
This paper builds on product line CCS (PL-CCS), an algebraic approach to modeling the behavior of software product lines. The semantics of PL-CCS specifications is given in terms ...
Alexander Gruler, Martin Leucker, Kathrin D. Schei...
VIP
2001
15 years 8 months ago
Image Segmentation on Spiral Architecture
Spiral Architecture is a relatively new and powerful approach to general purpose machine vision system. It contains very useful geometric and algebraic properties. Two algebraic o...
Qiang Wu, Xiangjian He, Tom Hintz
AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
15 years 6 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...