Minimally Ramified Deformations when ` 6 = p
Minimally Ramified Deformations when ` 6 = p
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当 ` 6 = p 时的最小分支变形
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
J. Booher
中科院分区：
文献类型：
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作者：
J. Booher
设p和‘为不同素数，ρ为特征为p的有限域上进域的绝对伽罗瓦群的正交或辛表示。我们定义并研究了ρ ’ ‘分枝不小于ρ ’ '的升力的可升力变形条件，推广了[CHT08]中研究的GLn的最小分枝变形条件。关键的见解是将变形限制在相关的单能元素在变形时不改变类型的情况下。这需要理解在相对情况下的幂零轨道和幂零元素的集中器，而不仅仅是在场上。
Let p and ` be distinct primes, and ρ be an orthogonal or symplectic representation of the absolute Galois group of an `-adic field over a finite field of characteristic p. We define and study a liftable deformation condition of lifts of ρ “ramified no worse than ρ”, generalizing the minimally ramified deformation condition for GLn studied in [CHT08]. The key insight is to restrict to deformations where an associated unipotent element does not change type when deforming. This requires an understanding of nilpotent orbits and centralizers of nilpotent elements in the relative situation, not just over fields.