Abstract.
A nodal Enriques surface can have at most 8 nodes. We give an explicit description of Enriques surfaces with 8 nodes, showing that they are quotients of products of elliptic curves by a group isomorphic to or to acting freely in codimension 1. We use this result to show that if S is a minimal surface of general type with p g =0 such that the image of the bicanonical map is birational to an Enriques surface then K 2 S =3 and the bicanonical map is a morphism of degree 2.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 29 September 2001 / Published online: 5 September 2002
Rights and permissions
About this article
Cite this article
Mendes Lopes, M., Pardini, R. Enriques surfaces with eight nodes. Math. Z. 241, 673–683 (2002). https://doi.org/10.1007/s00209-002-0432-8
Issue Date:
DOI: https://doi.org/10.1007/s00209-002-0432-8