# On certain complex surface singularities

@article{Pintr2019OnCC,
title={On certain complex surface singularities},
author={Gergo Pint{\'e}r},
journal={arXiv: Algebraic Topology},
year={2019}
}
• Gergo Pintér
• Published 29 April 2019
• Mathematics
• arXiv: Algebraic Topology
The thesis deals with holomorphic germs $\Phi: (\mathbb{C}^2, 0) \to (\mathbb{C}^3,0)$ singular only at the origin, with a special emphasis on the distinguished class of finitely determined germs. The results are published in two articles (arXiv:1404.2853 and arXiv:1902.01229), joint with Andras Nemethi. In Chapter 3 of the thesis we study the associated immersion $S^3 \looparrowright S^5$, while Chapter 5 contains an algorithm providing the Milnor fibre boundary of the non-isolated…
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<jats:p>It was recently proved that for finitely determined germs <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Phi : ( \mathbb C^2, 0) \rightarrow ( \mathbb C^3, 0) ## References SHOWING 1-10 OF 66 REFERENCES • Mathematics Period. Math. Hung. • 2018 This paper provides the plumbing graph of the boundary of the Milnor fibre of f from the double-point-geometry of Phi, a finitely determined complex analytic germ. • Mathematics • 2014 A holomorphic germ \Phi: (C^2, 0) \to (C^3, 0), singular only at the origin, induces at the links level an immersion of S^3 into S^5. The regular homotopy type of such immersions are determined by Let f : (1~3, 0)-"~(t~, 0) be the germ of a complex analytic function with an isolated critical point at the origin. For e > 0 suitably small and 6 yet smaller, the space V ' = f l ( 6 ) ~ D , (where • Mathematics • 2005 We give the first (as far as we know) complete description of the boundary of the Milnor fiber for some non-isolated singular germs of surfaces in {\bf C}^3. We study irreducible (i.e. gcd (m,k,l) • Mathematics • 2011 Let$$f$$f and$$gg be holomorphic function-germs vanishing at the origin of complex analytic germs of dimension three. Suppose that they have no common irreducible component and that the real
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