Hurwitz monodromy and full number fields
Hurwitz monodromy and full number fields
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赫尔维茨单数论和全数域
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Akshay Venkatesh
中科院分区：
文献类型：
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作者：
D. Roberts;Akshay Venkatesh
给出了支点构形空间上的Hurwitz空间的单调群是完全交错群或对称群的条件。专门化所得到的覆盖表明存在许多具有完整Galois群和令人惊讶地很少的分支的数域-例如，存在从{2，3，5}未分支的无限多这样的数域。
We give conditions for the monodromy group of a Hurwitz space over the configuration space of branch points to be the full alternating or symmetric group on the degree. Specializing the resulting coverings suggests the existence of many number fields with full Galois group and surprisingly little ramification --- for example, the existence of infinitely many such number fields unramified away from {2,3,5}.