On the behavior of -signatures, splitting primes, and test modules under finite covers
arXiv:1904.10382 · doi:10.1016/j.jpaa.2022.107165
Abstract
We give a comprehensive treatment on how -signatures, splitting primes, splitting ratios, and test modules behave under finite covers. To this end, we expand on the notion of transposability along a section section of the relative canonical module as first introduced by K.~Schwede and K.~Tucker.
39 pages, comments are more than welcome. v3: major revision: shortened proofs and sharpened results v4: improved exposition, final version