ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We present an algorithm that, on input of a CM-field K, an integer k 1, and a prime r 1 mod k, constructs a q-Weil number OK corresponding to an ordinary, simple abelian variety ...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
Abstract. The goal of this paper is to present computations investigating the "functorial" properties of Stark units, that is, how specific roots of Stark units from cert...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We discuss how one can extend to hypersurfaces with isolated singularities the methods of Gerkmann, Abbott-Kedlaya-Roe and Lauder for counting points on smooth hypersurfaces.
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
The theory of 4-descent on elliptic curves has been developed in the PhD theses of Siksek [18], Womack [21] and Stamminger [20]. Prompted by our use of 4-descent in the search for ...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We construct explicit examples of K3 surfaces over