76 citations · 216 across the 33 of their papers we have counts for
31 papers · 1 filter
Explicit birational models of marked elliptic surfaces of relative degree two
Sönke Rollenske, Anna Ulivi, Aline Zanardini
We introduce explicit construction methods for two distinct birational models of elliptic surfaces equipped with a bisection --- or, more generally, a relative polarisation of degr…
2-Gorenstein stable surfaces with and
Stephen Coughlan, Marco Franciosi, Rita Pardini +1
The compactification of the Gieseker moduli space of surfaces of general type with and in the moduli space of stable surfaces parametrises…
Half canonical rings of Gorenstein spin curves of genus two
Stephen Coughlan, Marco Franciosi, Rita Pardini +1
We introduce the notion of generalised Gorenstein spin structure on a curve and we give an explicit description of the associated section ring for curves of genus two with ample ca…
I-surfaces from surfaces with one exceptional unimodal point
Sönke Rollenske, Diana Torres
We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with and they construct are indeed the on…
Standard stable Horikawa surfaces
Julie Rana, Sönke Rollenske
We consider the stable compactification of the moduli space of Horikawa surfaces with . When we show that the closures of th…
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…