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Preprints, Working Papers, ... Year : 2011

Partial normalizations of Coxeter arrangements and discriminants

David Mond
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  • PersonId : 909277
Mathias Schulze
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  • PersonId : 909278

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.
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Dates and versions

hal-00619215 , version 1 (05-09-2011)
hal-00619215 , version 2 (30-01-2012)

Identifiers

  • HAL Id : hal-00619215 , version 2

Cite

Michel Granger, David Mond, Mathias Schulze. Partial normalizations of Coxeter arrangements and discriminants. 2011. ⟨hal-00619215v2⟩
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