Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$

Details Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$ Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$

2010-03-17

arxiv.org/abs/1003.3469v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

This note describes minimal surfaces $S$ of general type satisfying $p_g\geq 5$ and $K^2=2p_g$. For $p_g\geq 8$ the canonical map of such surfaces is generically finite of degree 2 and the bulk of the paper is a complete characterization of such surfaces with non birational canonical map. It turns out that if $p_g\geq 13$, $S$ has always an (unique) genus 2 fibration, whose non 2-connected fibres can be characterized, whilst for $p_g\leq 12$ there are two other classes of such surfaces with non birational canonical map.

Affiliated with

Also associated with

No associations

Rating

Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$ 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 Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surfaces with $K^2=2\mathcal{X}-2$ and $p_g\geq 5$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699656