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Partial normalizations of Coxeter arrangements and discriminants
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Granger, Michel, Mond, D. (David) and Schulze, M. (2012) Partial normalizations of Coxeter arrangements and discriminants. Moscow Mathematical Journal, Vol.12 (No.2). ISSN 1609-3321.
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Official URL: http://www.ams.org/distribution/mmj/vol12-2-2012/c...
Abstract
We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise from Dubrovin's Frobenius manifold structure, which is lifted (without unit), to the space of the arrangement. We also describe an independent approach to these structures via duality of maximal Cohen–Macaulay fractional ideals. In the process, we find 3rd order differential relations for the basic invariants of the Coxeter group. Finally, we show that our partial normalizations give rise to new free divisors.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Moscow Mathematical Journal | ||||
Publisher: | Nezavisimyi Moskovskii Universitet | ||||
ISSN: | 1609-3321 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.12 | ||||
Number: | No.2 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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