N. Shepherd-Barron

activity

20202025

most citedGeneric Torelli and local Schottky theorems for Jacobian elliptic surfaces

1 citations · 1 across the 4 of their papers we have counts for

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math.AG2025

A non-linear differential equation for the periods of elliptic surfaces

N. I. Shepherd-Barron

Suppose that $f : X \to C$ is a general Jacobian elliptic surface over the complex numbers. Then the primitive cohomology $H_{p r im}^{1, 1} (X)$ has, up to a sign, a natural orthonormal…

math.AG2025

Recognizing flag varieties and reductive groups

I. Grojnowski, N. I. Shepherd-Barron

Fix a flat and projective morphism $X \to Σ$ of schemes. We show, first, that any set of $P^{1}$ -fibrations on $X$ defines a set of simple roots, a set of simple coroo…