We develop an algorithm computing the transcendental lattice and the Mordell-Weil group of an extremal elliptic surface. As an example, we compute the lattices of four exponentially large series of surfaces
Extremal lattices are remarkable objects of number theory. They define many of the densest known sph...
AbstractWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be comb...
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examp...
Abstract. We develop an algorithm computing the transcendental lattice and the Mordell–Weil group of...
Cataloged from PDF version of article.We develop an algorithm computing the transcendental lattice a...
This book lays out the theory of Mordell–Weil lattices, a very powerful and influential tool at the ...
Abstract. To a pair of elliptic curves, one can naturally attach two K3 surfaces: the Kummer surface...
In this thesis elliptic surfaces play a central role. In the first two chapters elliptic surfaces wi...
Abstract We constructed several families of elliptic K3 surfaces with Mordell-Weil groups of ranks f...
Abstract. We discuss the equivalence between the categories of certain ribbon graphs and subgroups o...
We describe explicit multiplicative excellent families of rational elliptic surfaces with Galois gro...
Together with Klaus Hulek we proved in 2011 that there is an effective algorithm which computes the ...
Abstract. Given an elliptic curve E1 over a number field K and an element s in its 2-Selmer group, w...
Abstract. We explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be co...
Extremal lattices are remarkable objects of number theory. They define many of the densest known sph...
Extremal lattices are remarkable objects of number theory. They define many of the densest known sph...
AbstractWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be comb...
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examp...
Abstract. We develop an algorithm computing the transcendental lattice and the Mordell–Weil group of...
Cataloged from PDF version of article.We develop an algorithm computing the transcendental lattice a...
This book lays out the theory of Mordell–Weil lattices, a very powerful and influential tool at the ...
Abstract. To a pair of elliptic curves, one can naturally attach two K3 surfaces: the Kummer surface...
In this thesis elliptic surfaces play a central role. In the first two chapters elliptic surfaces wi...
Abstract We constructed several families of elliptic K3 surfaces with Mordell-Weil groups of ranks f...
Abstract. We discuss the equivalence between the categories of certain ribbon graphs and subgroups o...
We describe explicit multiplicative excellent families of rational elliptic surfaces with Galois gro...
Together with Klaus Hulek we proved in 2011 that there is an effective algorithm which computes the ...
Abstract. Given an elliptic curve E1 over a number field K and an element s in its 2-Selmer group, w...
Abstract. We explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be co...
Extremal lattices are remarkable objects of number theory. They define many of the densest known sph...
Extremal lattices are remarkable objects of number theory. They define many of the densest known sph...
AbstractWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be comb...
Shioda described a method to compute the Lefschetz number of a Delsarte surface. In one of his examp...
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