Campedelli surfaces with fundamental group of order 8
Campedelli surfaces with fundamental group of order 8
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DOI：
10.1007/s10711-008-9317-2
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发表时间：
2008-04
影响因子：
0.5
通讯作者：
M. Mendes Lopes;R. Pardini;M. Reid
中科院分区：
文献类型：
--
作者：
M. Mendes Lopes;R. Pardini;M. Reid
设为Campeelli曲面(pg=0，k2=2的通用型极小曲面)和8次覆盖，我们证明了Y的标准模型是四个二次曲面的完全交.因此，Y是泛覆盖群，覆盖群G=Gal(Y/S)是拓扑基本群π1SandG不可能是8阶二面体群D4。
LetSbe a Campedelli surface (a minimal surface of general type withpg= 0,K2= 2), andan etale cover of degree 8. We prove that the canonical modelofYis a complete intersection of four quadrics. As a consequence,Yis the universal cover ofS, the covering groupG= Gal(Y/S) is the topological fundamental groupπ1SandGcannot be the dihedral groupD4of order 8.