K3-surfaces with special symmetry: An example of classification by Mori-reduction

Details K3-surfaces with special symmetry: An example of classification by Mori-reduction K3-surfaces with special symmetry: An example of classification by Mori-reduction

2008-02-18

arxiv.org/abs/0802.2481v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

The classification problem for K3-surfaces equipped with finite groups $H$ of symplectic symmetry centralized by an antisymplectic involution is considered. An approach via equivariant Mori-reduction is employed. This method, which has proved to be successful even for rather small groups, is exemplified here by giving a complete classification in the case $H = C_3 \ltimes C_7$. The consideration of this particular group is related to the study of K3-surfaces with maximal finite groups of symplectic automorphisms. Applications to the case $L_2(7)$ are given.

Affiliated with

Also associated with

No associations

Rating

K3-surfaces with special symmetry: An example of classification by Mori-reduction 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 special symmetry: An example of classification by Mori-reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and K3-surfaces with special symmetry: An example of classification by Mori-reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337868