H. Charalambous

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19982004

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math.AC2004

On the Denominator of the Poincaré series for monomial quotient rings

Hara Charalambous

Let $S = k [x_{1}, ..., x_{n}]$ be a polynomial ring over a field $k$ and $I$ a monomial ideal of $S$ . It is well known that the Poincaré series of $k$ over $S / I$ is rational.…

math.AC2002

Free resolutions fo rmultigraded modules: a generalization of Taylor's construction

H. Charalambous, A. Tchernev

Let $Q = k [x_{1}, ..., x_{n}]$ be a polynomial ring over a field $k$ with the standard $N^{n}$ -grading. Let $ϕ$ be a morphism of finite free $N^{n}$ -graded $Q$ -modules. We translate to this s…

math.AC1998

Extremal Betti Numbers and Applications to Monomial Ideals

Dave Bayer, Hara Charalambous, Sorin Popescu

In this short note we introduce a notion of extremality for Betti numbers of a minimal free resolution, which can be seen as a refinement of the notion of Mumford-Castelnuovo regul…