Symbolic powers of monomial ideals and vertex cover algebras

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dc.creatorHerzog, Juergen
dc.creatorHibi, Takayuki
dc.creatorTrung, Ngo Viet
dc.date2005-12-18
dc.date2006-06-28
dc.date.accessioned2026-07-07T06:55:28Z
dc.date.available2026-07-07T06:55:28Z
dc.descriptionWe introduce and study vertex cover algebras of weighted simplicial complexes. These algebras are special classes of symbolic Rees algebras. We show that symbolic Rees algebras of monomial ideals are finitely generated and that such an algebra is normal and Cohen-Macaulay if the monomial ideal is squarefree. For a simple graph, the vertex cover algebra is generated by elements of degree 2, and it is standard graded if and only if the graph is bipartite. We also give a general upper bound for the maximal degree of the generators of vertex cover algebras.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0512423
dc.identifierhttp://arxiv.org/abs/math/0512423
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106291
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13E15; 13H10; 05E99
dc.titleSymbolic powers of monomial ideals and vertex cover algebras
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