Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/18
Title: Hilbert Series and Stanley-Reisner rings
Authors: Kumar, Naveen
Keywords: Mathematics
Hilbert Series
Stanley-Reisner rings
Combinatorial problems
Issue Date: 20-Jul-2012
Publisher: IISER Mohali
Abstract: The main purpose of the thesis entitled ‘Hilbert Series and Stanley-Reisner rings’ is to understand Stanley-Reisner rings and its applications. We study Stanley- Reisner rings in order to solve combinatorial problems associated to simplicial com- plexes with the help of commutative algebra. The thesis also includes results from a paper of Eagon-Reiner which characterizes Stanley-Reisner rings k[∆] having linear resolutions in terms of Cohen-Macaulayness of Alexander dual ∆∗ . The paper of Eagon-Reiner also gives explicit computations of the Betti numbers of a Stanley- Reisner ring k[∆] under some mild conditions on ∆.
Appears in Collections:MS-07

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