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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Topological constructions for multigraded squarefree modules


Author: Hara Charalambous
Journal: Proc. Amer. Math. Soc. 139 (2011), 2383-2397
MSC (2010): Primary 13C15, 13D02, 13D45
Published electronically: December 17, 2010
MathSciNet review: 2784803
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Abstract: Let $ R=\mathbbm{k}[x_1,\ldots, x_n]$ and let $ M=R^s/I$ be a multigraded squarefree module. We discuss the construction of cochain complexes associated to $ M$ and we show how to interpret homological invariants of $ M$ in terms of topological computations. This is a generalization of the well-studied case of squarefree monomial ideals.


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Additional Information

Hara Charalambous
Affiliation: Department of Mathematics, Aristotle University of Greece, Thessaloniki, 54124, Greece
Email: hara@math.auth.gr

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10677-9
PII: S 0002-9939(2010)10677-9
Received by editor(s): August 28, 2009
Received by editor(s) in revised form: June 30, 2010
Published electronically: December 17, 2010
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.