Extremal elliptic surfaces & Infinitesimal Torelli

Abstract

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.

16 pages; 3rd version; small changes to the third and fourth section

References in corpus (1)

• Miranda-Persson's problem on extremal elliptic K3 surfaces

Cited by in corpus (3)

• Reconstruction of general elliptic K3 surfaces from their Gromov-Hausdorff limits
• Infinitesimal Torelli for elliptic surfaces revisited
• Topological Hyperbolicity of Moduli spaces of Elliptic Surfaces