Browsing 2018 by MSC "13"

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Criteria for Algebraicity of Analytic Functions

[OWP-2018-25] Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)

We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ...
A McKay Correspondence for Reflection Groups

[OWP-2018-14] Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-02)

We construct a noncommutative desingularization of the discriminant of a finite reflection group $G$ as a quotient of the skew group ring $A=S*G$ . If $G$ is generated by order two reflections, then this quotient identifies ...
On the Gauss Algebra of Toric Algebras

[OWP-2018-07] Herzog, Jürgen; Jafari, Raheleh; Nasrollah Nejad, Abbas (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)

Let $A$ be a $K$ -subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$ , generated by finitely many monomials of degree $r$ . Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ...