Enriques surfaces with eight nodes

Details Enriques surfaces with eight nodes Enriques surfaces with eight nodes

2001-10-11

arxiv.org/abs/math/0110122v1

Mathematics

Algebraic Geometry

Latex 2e, 11 pages

Scientific paper

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 $\Z_2^2$ or to $\Z_2^3$ 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.

Affiliated with

Also associated with

No associations

Rating

Enriques surfaces with eight nodes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Enriques surfaces with eight nodes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enriques surfaces with eight nodes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-328104