4 papers
The parity of theta characteristics is preserved by infinitesimal deformations
Margarida Mendes Lopes, Rita Pardini, Roberto Pignatelli
In this note, given a family of relative dimension one over a smooth curve, we determine the parity of the restriction of a relative theta characteristic to an arbitrary multiple o…
Surfaces with canonical map of odd degree
Margarida Mendes Lopes, Rita Pardini, Roberto Pignatelli
Let be a smooth complex minimal surface of general type with whose canonical map is generically finite of odd degree onto a surface . We assume t…
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…
Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
Valery Alexeev, Rita Pardini
We describe explicitly the geometric compactifications, obtained by adding slc surfaces with ample canonical class, for two connected components in the moduli space of surfaces…