Carles Bivià-Ausina

activity

20092026

most citedLojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations

8 citations · 23 across the 10 of their papers we have counts for

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math.AC2024

The log canonical threshold of products of ideals and mixed Łojasiewicz exponents

Carles Bivià-Ausina

Given two ideals $I$ and $J$ of the ring $O_{n}$ of analytic function germs $f : (C^{n}, 0) \to C$ , we show a sharp lower bound for the log canonical threshold of…

math.AC2020★ 3 cited

Analytic spread and integral closure of integrally decomposable modules

Carles Bivià-Ausina, Jonathan Montaño

We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integr…

math.AC2019

The sequence of mixed Łojasiewicz exponents associated to pairs of ideals

Carles Bivià-Ausina

We analyze the sequence $L_{J}^{*} (I)$ of mixed Łojasiewicz exponents attached to any pair $I, J$ of monomial ideals of finite colength of the ring of analytic function germs $…