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

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dc.creatorFrantzen, Kristina
dc.creatorHuckleberry, Alan
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:21:33Z
dc.date.available2026-07-07T09:21:33Z
dc.descriptionThe 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0802.2481
dc.identifierhttp://arxiv.org/abs/0802.2481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155059
dc.subjectAlgebraic Geometry
dc.titleK3-surfaces with special symmetry: An example of classification by Mori-reduction
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