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pro vyhledávání: '"Neumann, Walter D."'
Autor:
Neumann, Walter D., Wahl, Jonathan
Publikováno v:
Journal of Singularities, Vol. 23 (2021), 151-169
A three-dimensional orbifold $(\Sigma, \gamma_i, n_i)$, where $\Sigma$ is a rational homology sphere, has a universal abelian orbifold covering, whose covering group is the first orbifold homology. A singular pair $(X,C)$, where $X$ is a normal surfa
Externí odkaz:
http://arxiv.org/abs/2011.09077
Autor:
Neumann, Walter D
This paper was accepted for Comment. Math. Univ. Carolinae in 1968 but then got lost during the military occupation of Prague and surrounding events. My own long-lost carbon copy of it turned up in my Columbia office. The only changes to the text are
Externí odkaz:
http://arxiv.org/abs/1808.06242
Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the associated riemannian metric on the germ. These two metrics are in gen
Externí odkaz:
http://arxiv.org/abs/1806.11240
Autor:
Neumann, Walter D
K\"ahler's paper "\"Uber die Verzweigung einer algebraischen Funktion zweier Ver\"anderlichen in der Umgebung einer singul\"aren Stelle" offered a more perceptual view of the link of a complex plane curve singularity than that provided shortly before
Externí odkaz:
http://arxiv.org/abs/1706.04386
Autor:
Neumann, Walter D., Pichon, Anne
We investigate the relationships between the Lipschitz outer geometry and the embedded topological type of a hypersurface germ in $(\mathbb C^n,0)$. It is well known that the Lipschitz outer geometry of a complex plane curve germ determines and is de
Externí odkaz:
http://arxiv.org/abs/1506.03841
Any germ of a complex analytic space is equipped with two natural metrics: the {\it outer metric} induced by the hermitian metric of the ambient space and the {\it inner metric}, which is the associated riemannian metric on the germ. We show that min
Externí odkaz:
http://arxiv.org/abs/1503.03301
Autor:
Neumann, Walter D., Pichon, Anne
Publikováno v:
Journal of Singularities 10 (2014), 225-234
We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschi
Externí odkaz:
http://arxiv.org/abs/1302.1138
Autor:
Neumann, Walter D., Pichon, Anne
We prove that the outer Lipschitz geometry of a germ $(X,0)$ of a normal complex surface singularity determines a large amount of its analytic structure. In particular, it follows that any analytic family of normal surface singularities with constant
Externí odkaz:
http://arxiv.org/abs/1211.4897
Autor:
Neumann, Walter D
Publikováno v:
Contemporary Math 541 (Amer. Math. Soc. 2011), 233--246
These are mostly expository notes based on the course of lectures on arithmetic invariants of hyperbolic manifolds given at the workshop associated with the final "Volume Conference," held at Columbia University, June 2009. Some new results are inclu
Externí odkaz:
http://arxiv.org/abs/1108.0062
Publikováno v:
Acta Math. Volume 212 (2014), 199-256
We describe a natural decomposition of a normal complex surface singularity $(X,0)$ into its "thick" and "thin" parts. The former is essentially metrically conical, while the latter shrinks rapidly in thickness as it approaches the origin. The thin p
Externí odkaz:
http://arxiv.org/abs/1105.3327