论文标题
显式非戈伦斯坦r = t通过等级边界II：计算方面
Explicit non-Gorenstein R=T via rank bounds II: Computational aspects
论文作者
论文摘要
这是一对关于剩余可减少的galois变形环的第二篇论文中的第二篇。在第一篇论文中，我们证明了变形环尽可能小的Galois理论标准。本文着重于验证此标准所需的计算。我们适应了Sharifi开发的一种技术，可以用扭曲的Heisenberg Galois组来计算数字字段，并开出了RAMIFIENT，并计算了这些扩展中素数的分裂行为。
This is the second in a pair of papers about residually reducible Galois deformation rings with non-optimal level. In the first paper, we proved a Galois-theoretic criterion for the deformation ring to be as small as possible. This paper focuses on the computations needed to verify this criterion. We adapt a technique developed by Sharifi to compute number fields with twisted-Heisenberg Galois group and prescribed ramification, and compute the splitting behavior of primes in these extensions.
