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Let S = 𝕂[x₁,...,xn] be the polynomial ring over a field 𝕂 In this paper we present a criterion for componentwise linearity of powers of monomial ideals. In particular, we prove that if a ...

ABSTRACT. This paper explores the relationship between real valued monomial valuations on 𝑘(𝑥, 𝑦), the resolution of cusp singularities and continued fractions. It is shown that, up to equivalence, ...