Geodesic
A NOTE ON p-ADIC SIMPLICIAL VOLUMES
Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 563-583

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DOI

We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on p-adic simplicial volumes. We investigate the dependence on the prime and establish homology bounds in terms of p-adic simplicial volumes. As the main examples, we compute the weightless and p-adic simplicial volumes of surfaces. This is based on an alternative way to calculate classical simplicial volume of surfaces without hyperbolic straightening and shows that surfaces satisfy mod p and p-adic approximation of simplicial volume. 
KIONKE, STEFFEN; LÖH, CLARA. A NOTE ON p-ADIC SIMPLICIAL VOLUMES. Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 563-583. doi: 10.1017/S0017089520000385
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     author = {KIONKE, STEFFEN and L\"OH, CLARA},
     title = {A {NOTE} {ON} {p-ADIC} {SIMPLICIAL} {VOLUMES}},
     journal = {Glasgow mathematical journal},
     pages = {563--583},
     year = {2021},
     volume = {63},
     number = {3},
     doi = {10.1017/S0017089520000385},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000385/}
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