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摘要翻译：
研究了由反辛对合集中的辛对称有限群$H$构成的K3-曲面的分类问题。采用了一种通过等变森约简的方法。这种方法即使对相当小的群也是成功的，这里给出了在$h=C_3\l×C_7$情况下的完整分类。对这个特殊群的考虑与研究辛自同构的极大有限群的K3-曲面有关。给出了$L2(7)$情形的应用。
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英文标题：
《K3-surfaces with special symmetry: An example of classification by
Mori-reduction》
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作者：
Kristina Frantzen and Alan Huckleberry
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
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.
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PDF链接：
https://arxiv.org/pdf/0802.2481
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