Multivariate Puiseux Rings Induced by a Weierstrass System and Twisted Group Rings: Communications in Algebra: Vol 42, No 11

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Abstract

Inspired by rectilinearization theorems in subanalytic and o-minimal geometry, we define rings of multivariate Puiseux series induced by Weierstrass systems. In higher dimension, these rings lack good algebraic properties as Noetherianity. But we find a nice algebraic description as a twisted group ring.

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Communicated by D. Macpherson.

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Multivariate Puiseux Rings Induced by a Weierstrass System and Twisted Group Rings

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Multivariate Puiseux Rings Induced by a Weierstrass System and Twisted Group Rings

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