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JSC
2007
71views more  JSC 2007»
13 years 9 months ago
Rational invariants of a group action. Construction and rewriting
Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appear...
Evelyne Hubert, Irina A. Kogan
DCC
2010
IEEE
13 years 4 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
DIMACS
2001
13 years 11 months ago
Visibility Computations: From Discrete Algorithms to Real Algebraic Geometry
We investigate visibility computations with moving viewpoints. The initial problems are of discrete and algorithmic nature, but even for simple classes of objects (such as balls an...
Thorsten Theobald
ICMS
2010
13 years 8 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
ADG
2000
Springer
122views Mathematics» more  ADG 2000»
14 years 2 months ago
Automated Theorem Proving in Incidence Geometry - A Bracket Algebra Based Elimination Method
In this paper we propose a bracket algebra based elimination method for automated generation of readable proofs for theorems in incidence geometry. This method is based on two tech...
Hongbo Li, Yihong Wu