The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold
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Publication:5360352
DOI10.1017/S0305004115000493zbMATH Open1371.14025arXiv1310.8260MaRDI QIDQ5360352
Author name not available (Why is that?)
Publication date: 28 September 2017
Published in: (Search for Journal in Brave)
Abstract: Let I be an arbitrary ideal in Cx,y. We use the Newton algorithm to compute by induction the motivic zeta function of the ideal, yielding only few poles, associated to the faces of the successive Newton polygons. We associate a minimal Newton tree to I, related to using good coordinates in the Newton algorithm, and show that it has a conceptual geometric interpretation in terms of the log canonical model of I. We also compute the log canonical threshold from a Newton polygon and strengthen Corti's inequalities.
Full work available at URL: https://arxiv.org/abs/1310.8260
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