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On the Cohen-macaulayness of Certain Hyperplane Arrangements Spur Final Paper, Summer 2014
| Content Provider | Semantic Scholar |
|---|---|
| Author | Brookner, Aaron Corwin, David |
| Copyright Year | 2014 |
| Abstract | Inspired by the representation theory of rational Cherednik algebras, we consider whether certain rings corresponding to hyperplane arrangements in C satisfy the Cohen-Macaulay property. Specifically, for a partition λ = (λ1, . . . , λr) ` n we define a certain variety Xλ ⊂ C and study its coordinate ring C[Xλ]. The question which we work towards is: for which λ is Xλ CohenMacaulay? We consider the sub-question of when the coordinate ring of Xλ/Sn, defined below, is Cohen-Macaulay, and compute related information such as its Hilbert series and formulas for generating higher degree polynomials in terms of lower-degree gener- |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.mit.edu/research/undergraduate/spur/documents/2014brookner.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
