1 citations · 1 across the 4 of their papers we have counts for
4 papers
A non-linear differential equation for the periods of elliptic surfaces
N. I. Shepherd-Barron
Suppose that is a general Jacobian elliptic surface over the complex numbers. Then the primitive cohomology has, up to a sign, a natural orthonormal…
Recognizing flag varieties and reductive groups
I. Grojnowski, N. I. Shepherd-Barron
Fix a flat and projective morphism of schemes. We show, first, that any set of -fibrations on defines a set of simple roots, a set of simple coroo…
Generic Torelli with denominators for elliptic surfaces
N. I. Shepherd-Barron
We show that a very general Jacobian elliptic surface is determined by its polarized rational Hodge structure, subject to various constraints on the irregularity and the geometric…
Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces
N. I. Shepherd-Barron
We prove a generic Torelli theorem for Jacobian elliptic surfaces, provided that the geometric genus is large compared to the irregularity. The result is effective to the extent th…