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FUIN
2006
93views more  FUIN 2006»
13 years 8 months ago
Abstract Geometrical Computation 1: Embedding Black Hole Computations with Rational Numbers
geometrical computation 1 : embedding Black hole computations with rational numbers J
Jérôme Durand-Lose
CAGD
1998
99views more  CAGD 1998»
13 years 7 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann
ANTS
2004
Springer
74views Algorithms» more  ANTS 2004»
14 years 1 months ago
Rational Divisors in Rational Divisor Classes
We discuss the situation where a curve C, defined over a number field K, has a known K-rational divisor class of degree 1, and consider whether this class contains an actual K-ra...
Nils Bruin, E. Victor Flynn
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
13 years 10 months ago
Construction of Rational Points on Elliptic Curves over Finite Fields
Abstract. We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, given a Weierstrass equation for the...
Andrew Shallue, Christiaan van de Woestijne
COMBINATORICS
1999
139views more  COMBINATORICS 1999»
13 years 7 months ago
A Closer Look at Lattice Points in Rational Simplices
Abstract. We generalize Ehrhart's idea ([Eh]) of counting lattice points in dilated rational polytopes: Given a rational simplex, that is, an n-dimensional polytope with n + 1...
Matthias Beck