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Doubly warped product $C R$ -submanifolds in a locally conformal Kähler space form.

Matsumoto, Koji; Bonanzinga, Vittoria — 2008

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Syzygietic properties of a module and torsion freeness of its symmetric powers.

Bonanzinga, Vittoria; Restuccia, Gaetana — 2002

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Squarefree Lexsegment Ideals with Linear Resolution

Vittoria Bonanzinga; Loredana Sorrenti — 2008

Bollettino dell'Unione Matematica Italiana

In this paper we determine all squarefree completely lexsegment ideals which have a linear resolution. Let $M_{d}$ denote the set of all squarefree monomials of degree $d$ in a polynomial ring $k[x_{1},\ldots,x_{n}]$ in $n$ variables over a field $k$ . We order the monomials lexicographically such that $x_{1}>x_{2}>\ldots>x_{n}$ , thus a lexsegment (of degree $d$ ) is a subset of $M_{d}$ of the form $L(u,v)=\{w\in M_{d}:u\geq w\geq v\}$ for some $u,v\in M_{d}$ con $u\geq v$ . An ideal generated by a lexsegment is called a lexsegment ideal. We describe the procedure to determine when such an ideal has a linear resolution....

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Doubly warped product C R -submanifolds in a locally conformal Kähler space form.

Syzygietic properties of a module and torsion freeness of its symmetric powers.

Squarefree Lexsegment Ideals with Linear Resolution

Doubly warped product $C R$ -submanifolds in a locally conformal Kähler space form.