Exceptional rays and bilipschitz geometry of real surface singularities. (English) Zbl 1465.14007
To a real semi-algebraic surface germs \((V,0) \subset (\mathbb R^{3},0)\), one attaches its cone \(CV\), and its Nash cone \(\mathcal{N}V\) at the origin.
In several theorems and examples, the authors explore the role played by the exceptional rays of the Nash cone in the bi-Lipschitz geometry of \(V\). This complements the study [Am. J. Math. 126, No. 5, 951–980 (2004; Zbl 1071.14058)] by the same authors.
In several theorems and examples, the authors explore the role played by the exceptional rays of the Nash cone in the bi-Lipschitz geometry of \(V\). This complements the study [Am. J. Math. 126, No. 5, 951–980 (2004; Zbl 1071.14058)] by the same authors.
Reviewer: Mihai-Marius Tibar (Lille)
MSC:
| 14B05 | Singularities in algebraic geometry |
| 14J17 | Singularities of surfaces or higher-dimensional varieties |
| 14P10 | Semialgebraic sets and related spaces |
| 51F99 | Metric geometry |
Citations:
Zbl 1071.14058References:
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