12 research outputs found
Extremal elliptic surfaces & Infinitesimal Torelli
We describe in terms of the j-invariant all elliptic surfaces pi: X -> C with
a section, such that h^{1,1}(X)=rank NS(X) and the Mordell-Weil group of pi is
finite.
We use this to give a complete solution to infinitesimal Torelli for elliptic
surfaces with a section over P^1.Comment: 16 pages; 3rd version; small changes to the third and fourth sectio
Modular forms for GL(3) and Galois representations
A description and an example are given of numerical experiments which look for a relation between modular forms for certain congruence subgroups of SL(3, Z) and Galois representations
Modular forms for GL(3) and Galois representations
Abstract. A description and an example are given of numerical experiments which look for a relation between modular forms for certain congruence subgroups of SL(3, ZZ) and Galois representations.