The non-degeneracy invariant of Brandhorst and Shimada’s families of Enriques surfaces
Riccardo Moschetti
University of Turin, Torino, ItalyFranco Rota
University of Glasgow, Glasgow, UKLuca Schaffler
Università degli Studi Roma Tre, Roma, Italy
Abstract
Brandhorst and Shimada described a large class of Enriques surfaces, called -generic, for which they gave generators for the automorphism groups and calculated the elliptic fibrations and the smooth rational curves up to automorphisms. In the present paper, we give lower bounds for the non-degeneracy invariant of such Enriques surfaces, we show that in most cases the invariant has generic value , and we present the first known example of complex Enriques surface with infinite automorphism group and non-degeneracy invariant not equal to .
Supplementary Material
Cite this article
Riccardo Moschetti, Franco Rota, Luca Schaffler, The non-degeneracy invariant of Brandhorst and Shimada’s families of Enriques surfaces. Doc. Math. 29 (2024), no. 5, pp. 1219–1242
DOI 10.4171/DM/972