Simplicial Complexes: Mathematical Innovative Instruments for Applications

Loredana Sorrenti, Vittoria Bonanzinga


The morphisms in the categories of the simplicial complexes are able to model a lot of transformations used in graphics. We study some theoretical aspects of such combinatoric objects. Let denote the exterior algebra over a vector space . Let be a simplicial complex on the set of vertexes , we write for the ideal of generated by all monomials , . We study the vanishing and non vanishing of reduced simplicial cohomology groups of a simplicial complex and a of a certain subcomplex of when has linear resolution or when it is a lexsegment ideal.

[DOI: 10.1685/CSC06140] About DOI

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