8 papers · 1 filter
Enriques surfaces with non-generic non-degeneracy
Riccardo Moschetti, Franco Rota, Luca Schaffler
We study the non-degeneracy invariant of complex Enriques surfaces in families. Our first main result shows that cannot increase under specializat…
Fineness and smoothness of a KSBA moduli of marked cubic surfaces
Hanlong Fang, Luca Schaffler, Xian Wu
By work of Gallardo-Kerr-Schaffler, it is known that Naruki's compactification of the moduli space of marked cubic surfaces is isomorphic to the normalization of the Kollár, Shephe…
An explicit wall crossing for the moduli space of hyperplane arrangements
Patricio Gallardo, Luca Schaffler
The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight…
Simplices osculating rational normal curves
Alessio Caminata, Enrico Carlini, Luca Schaffler
A classical result of von Staudt states that if eight planes osculate a twisted cubic curve and we divide them into two groups of four, then the eight vertices of the corresponding…
Compact moduli of Enriques surfaces with a numerical polarization of degree 2
Valery Alexeev, Philip Engel, D. Zack Garza +1
We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compac…
The non-degeneracy invariant of Brandhorst and Shimada's families of Enriques surfaces
Riccardo Moschetti, Franco Rota, Luca Schaffler
Brandhorst and Shimada described a large class of Enriques surfaces, called -generic, for which they gave generators for the automorphism groups and calculated the…