Author

T. Freitas

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Preprint Sep 2026

Asymptotic multiplicity sequences of graded families

We study asymptotic multiplicity sequences of graded families of arbitrary ideals in Noetherian local rings. We characterize convergence of the zeroth component and prove that the first positive component not forced to vanish always converges under natural equidimensionality and catenarity assumptions. In contrast, hig...

T. Freitas, V. J. Jorge Pérez · 0 citations

Preprint Sep 2026

Generalized mixed sequence multiplicity

Let $(R,\mathfrak m,k)$ be a Noetherian local ring, let $M$ be a nonzero finitely generated $R$-module, and let $J_1,\ldots,J_s$ be arbitrary proper ideals of positive height on $M$. We introduce the notion of directional mixed multiplicities, obtained from the multigraded quotients $J^{\mathbf u}M/J^{\mathbf u+\mathbf...

T. Freitas, V. J. Jorge Pérez · 0 citations