Symmetries of order four on K3 surfaces

Details Symmetries of order four on K3 surfaces Symmetries of order four on K3 surfaces

2011-02-22

arxiv.org/abs/1102.4436v2

Mathematics

Algebraic Geometry

27 pages; revised section 8

Scientific paper

We study automorphisms of order four on K3 surfaces. The symplectic ones have been first studied by Nikulin, they are known to fix six points and their action on the K3 lattice is unique. In this paper we give a classification of the purely non-symplectic automorphisms by relating the structure of their fixed locus to their action on cohomology, in the following cases: the fixed locus contains a curve of genus g>0; the fixed locus contains at least a curve and all the curves fixed by the square of the automorphism are rational. We give partial results in the other cases. Finally, we classify non-symplectic automorphisms of order four with symplectic square.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558504