K3 surfaces with a symplectic automorphism of order 11

Details K3 surfaces with a symplectic automorphism of order 11 K3 surfaces with a symplectic automorphism of order 11

2006-02-23

arxiv.org/abs/math/0602518v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We classify possible finite groups of symplectic automorphisms of K3 surfaces of order divisible by 11. The characteristic of the ground field must be equal to 11. The complete list of such groups consists of five groups: the cyclic group of order 11, $11\rtimes 5$, $L_2(11)$ and the Mathieu groups $M_{11}$, $M_{22}$. We also show that a surface $X$ admitting an automorphism $g$ of order 11 admits a $g$-invariant elliptic fibration with the Jacobian fibration isomorphic to one of explicitly given elliptic K3 surfaces.

Affiliated with

Also associated with

No associations

Rating

K3 surfaces with a symplectic automorphism of order 11 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 K3 surfaces with a symplectic automorphism of order 11, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and K3 surfaces with a symplectic automorphism of order 11 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711675