43 research outputs found
A monodromy criterion for extending curves
A family of proper smooth curves of genus , parametrised by an open
dense subset of a normal variety , extends to if the natural map
on fundamental groups is an isomorphism. The criterion
of this note is actually more precise.Comment: 12 pages; revised version including a section on outer
representations for families of curve
Series of -groups with Beauville structure
For every we show that each finite -group with an unmixed
Beauville structure is part of a surjective infinite projective system of
finite -groups with compatible unmixed Beauville structures. This leads to
the new notion of an unmixed topological Beauville structure on pro-finite
groups. We further construct for a new explicit infinite series of
non-abelian -groups that allow unmixed Beauville structures.Comment: 7 pages, to appear in: Monatshefte der Mathemati