16 citations · 24 across the 13 of their papers we have counts for
15 papers
Deformations of half-canonical Gorenstein curves in codimension four
Patience Ablett, Stephen Coughlan
Recent work of Ablett arXiv:2112.03400 and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan arXiv:2111.05817 outlines a number of constructions for singular Gorenstein codi…
Degeneration of Hodge structures on I-surfaces
Stephen Coughlan, Marco Franciosi, Rita Pardini +1
Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In…
Simple fibrations in (1,2)-surfaces
Stephen Coughlan, Roberto Pignatelli
We introduce the notion of a simple fibration in -surfaces. That is, a hypersurface inside a certain weighted projective space bundle over a curve such that the general fibr…
Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
Fabrizio Catanese, in collaboration with Yonghwa Cho, Stephen Coughlan +4
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nod…
On T-divisors and intersections in
Stephen Coughlan, Marco Franciosi, Rita Pardini +2
The moduli space of stable surfaces with and has at least two irreducible components that contain surfaces with T-singularities. We show that the two known c…
Constructing Fano 3-folds from cluster varieties of rank 2
Stephen Coughlan, Tom Ducat
Cluster algebras give rise to a class of Gorenstein rings which enjoy a large amount of symmetry. Concentrating on the rank 2 cases, we show how cluster varieties can be used to co…