On the behavior of $F$-signatures, splitting primes, and test modules under finite covers

Javier Carvajal-Rojas; Axel Stäbler

doi:10.1016/j.jpaa.2022.107165

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arXiv · 1904.10382

On the behavior of $F$-signatures, splitting primes, and test modules under finite covers

Javier Carvajal-Rojas·Axel Stäbler

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Abstract

We give a comprehensive treatment on how $F$-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.

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Javier Carvajal-Rojas, Axel Stäbler. 2019-04-23. On the behavior of $F$-signatures, splitting primes, and test modules under finite covers. https://doi.org/10.1016/j.jpaa.2022.107165

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