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- W2952732213 abstract "In this paper we study the Hilbert function of $gr_{mathfrak{m}}(R)$, when $R$ is a numerical semigroup ring or, equivalently, the coordinate ring of a monomial curve. In particular, we prove a sufficient condition for a numerical semigroup ring in order get a non-decreasing Hilbert function, without making any assumption on its embedding dimension; moreover, we show how this new condition allows to improve known results about this problem. To this aim we use certain invariants of the semigroup, with particular regard to its Apery-set." @default.
- W2952732213 created "2019-06-27" @default.
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- W2952732213 date "2015-06-05" @default.
- W2952732213 modified "2023-09-27" @default.
- W2952732213 title "On the Hilbert function of the tangent cone of a monomial curve" @default.
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