Simplicial Complexes: Mathematical Innovative Instruments for Applications

Loredana Sorrenti, Vittoria Bonanzinga

Abstract


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

Full Text:



[DOI: 10.1685/] About DOI

Url Resolver: : http://dx.doi.org/10.1685/





Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License