65 citations · 164 across the 16 of their papers we have counts for
16 papers
Asymptotic period relations for Jacobian elliptic surfaces
N. I. Shepherd-Barron
We find an asymptotic description of the period locus of simply connected Jacobian elliptic surfaces and of the period locus of hyperelliptic curves. The two descriptions are essen…
Tropes, Torelli and theta characteristics
M. J. Fryers, N. I. Shepherd-Barron
Our main result is an effective version of the Torelli theorem in genus and any characteristic not : the configuration of the odd theta characteristics of a curve of gen…
The singularities of
J. Armstrong, N. Shepherd-Barron
We complete the proof given earlier by one of us that the singularities of the perfect cone compactification of the coarse moduli space of principally polarized abeli…
An exceptional locus in the perfect compactification of
N. Shepherd-Barron
The line bundle on the perfect compactification is nef; we show here that in positive characteristic it is semi-ample and that in all characteristics its exceptiona…
Abelian varieties isogenous to a power of an elliptic curve
Bruce W. Jordan, Allan G. Keeton, Bjorn Poonen +3
Let be an elliptic curve over a field . Let . There is a functor from the category of finitely presented torsion-free…
"Del Pezzo surfaces as Springer fibres for exceptional groups"
I. Grojnowski, N. I. Shepherd-Barron
We show that simultaneous log resolutions of simply elliptic singularities can be constructed inside suitable stacks of principal bundles over elliptic curves. In particular, we gi…