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- W1566337467 abstract "Let A be a polynomial algebra with complex coefficients. Let B be a finite extension ring of A which is also a polynomial algebra. We describe the factorisation of the Jacobian J of the extension into irreducibles. We also introduce the notion of a well-ramified extension and define its discriminant polynomial D. In the particular case where A is the ring of invariants of B under the action of a group (i.e., a Galois extension), this framework corresponds to the classical invariant theory of complex reflection In the more general case of a well-ramified extension, we explain how the pair (D,J) behaves similarly to a Galois extension. This work can be viewed as the first step towards a possible invariant theory of virtual reflection groups." @default.
- W1566337467 created "2016-06-24" @default.
- W1566337467 creator A5017776878 @default.
- W1566337467 date "2010-01-25" @default.
- W1566337467 modified "2023-09-27" @default.
- W1566337467 title "Discriminants and Jacobians of virtual reflection groups" @default.
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