2 citations · 3 across the 7 of their papers we have counts for
7 papers
Maximally symmetric stable curves II
Michael A. van Opstall, Razvan Veliche
We find a sharp bound for the order of the automorphism group of a stable curve of genus with nodes, and a sharp bound for the order of the automorphism group of such a…
Maximally symmetric stable curves
Michael A. van Opstall, Razvan Veliche
We give a sharp bound on the number of automorphisms of a stable curve of a given genus and describe all curves attaining this bound.
Variation of hyperplane sections
Michael A. van Opstall, Razvan Veliche
A result of Beauville states that with a few positive characterstic exceptions, the smooth hyperplane sections of hypersurfaces of degree in projective space are not all isom…
On the properness of the moduli space of stable surfaces
Michael A. van Opstall
The moduli spaces of stable surfaces serve as compactifications of the moduli spaces of canonical models of smooth surfaces in the same way the moduli spaces of stable curves compa…
Stable degenerations of symmetric squares of curves
Michael A. van Opstall
The main result of this article is that the component of the Alexeev-Kollár-Shepherd-Barron moduli space of stable surfaces parameterizing stable degenerations of symmetric squares…
Stable degenerations of surfaces isogenous to a product of curves
Michael van Opstall
We use the moduli space of stable curves to determine the stable (in the sense of Kollár-Shepherd-Barron) degenerations of surfaces isogenous to a product of stable curves. A recen…