Enriques surfaces with eight nodes
2002; Springer Science+Business Media; Volume: 241; Issue: 4 Linguagem: Inglês
10.1007/s00209-002-0432-8
ISSN1432-1823
AutoresMargarida Mendes Lopes, Rita Pardini,
Tópico(s)Polynomial and algebraic computation
ResumoA 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.
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