Vanishing of Tor over fiber products

Thiago H. Freitas, Victor Hugo Jorge Pérez, Roger Wiegand +1

Let $(S,\mathfrak{m},k)$ and $(T,\mathfrak{n},k)$ be local rings, and let $R$ denote their fiber product over their common residue field $k$. Inspired by work of Naseh and Sather-W…