A note on joint reductions and mixed multiplicities

Duong Quoc Viet, Le Van Dinh, Truong Thi Hong Thanh

Let $(A,\mathfrak{m})$ be a noetherian local ring with maximal ideal $\mathfrak{m}$ and infinite residue field $k=A/\mathfrak{m}.$ Let $J$ be an $\mathfrak{m}$-primary ideal, $I_1,...,I_s$ ideals…