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FUIN
2006
93views more  FUIN 2006»
14 years 11 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»
14 years 11 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»
15 years 5 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»
15 years 1 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»
14 years 11 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