R. Mir'o-Roig

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20012004

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math.AC2004

Minimal Resolution of Relatively Compressed Level Algebras

Juan C. Migliore, Rosa Miró-Roig, Uwe Nagel

A relatively compressed algebra with given socle degrees is an Artinian quotient $A$ of a given graded algebra $R/\fc$, whose Hilbert function is maximal among such quotients with…

math.AC2002

Ideals of general forms and the ubiquity of the Weak Lefschetz property

J. Migliore, R. M. Miró-Roig

Let $d_{1}, ..., d_{r}$ be positive integers and let $I = (F_{1}, ..., F_{r})$ be an ideal generated by general forms of degrees $d_{1}, ..., d_{r}$ , respectively, in a polynomial ring $R$ with $n$ …

math.AC2001

On the minimal free resolution of $n + 1$ generic forms

Juan C. Migliore, Rosa Miró-Roig

We consider the minimal free resolution of a generic set of n+1 forms (not necessarily of the same degree) in a polynomial ring of n variables. The Hilbert function for such an ide…

Minimal Resolution of Relatively Compressed Level Algebras

Ideals of general forms and the ubiquity of the Weak Lefschetz property

On the minimal free resolution of n+1 generic forms

On the minimal free resolution of $n + 1$ generic forms