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Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries

Computers & Mathematics with Applications, 2022
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Ji Lin, Lin Qiu, Fajie Wang
openaire   +1 more source

The dualizing complex of F-injective and Du Bois singularities

, 2015
Let $$(R,\mathfrak {m}, k)$$(R,m,k) be an excellent local ring of equal characteristic. Let j be a positive integer such that $$H_\mathfrak {m}^i(R)$$Hmi(R) has finite length for every $$0\le i 0$$p>0 or Du Bois in characteristic 0, then the truncated ...
B. Bhatt, Linquan Ma, Karl Schwede
semanticscholar   +1 more source

Local wild mapping class groups and cabled braids

Annales de l'Institut Fourier, 2022
We define and study some generalisations of pure 𝔤 -braid groups, for any complex reductive Lie algebra 𝔤 . They naturally occur in the theory of isomonodromic deformations for meromorphic connections with irregular singularities on ...
Jean Douccot   +2 more
semanticscholar   +1 more source

LOCALLY SEMIUNIVERSAL FLAT DEFORMATIONS OF ISOLATED SINGULARITIES OF COMPLEX SPACES

Mathematics of the USSR-Izvestiya, 1969
In this study we construct the minimal locally semiuniversal deformation of a normal isolated singularity x0 X0 for which Ext²O(X0)(Ω(X0), O(X0))x0 = 0, where Ω(X0) is the sheaf of germs of one-dimensional holomorphic forms in the complex space (X0, O(X0)).
openaire   +2 more sources

Globally subanalytic CMC surfaces in ℝ3 with singularities

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
In this paper we present a classification of a class of globally subanalytic CMC surfaces in ℝ3 that generalizes the recent classification made by Barbosa and do Carmo in 2016.
J. E. Sampaio
semanticscholar   +1 more source

Simultaneous local normal forms of dynamical systems with singular underlying geometric structures

Nonlinearity
The aim of this paper is to develop, for the first time, a general theory of simultaneous local normalisation of couples (X,G), where X is a dynamical system (vector field) and G is an underlying geometric structure preserved by X, even if both have ...
Kai Jiang, T. Ratiu, Nguyen Tien Zung
semanticscholar   +1 more source

Trace for the Du Bois complex

The Journal of Singularities
We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic aspects of singularities under finite morphisms.
Hyunsuk Kim
semanticscholar   +1 more source

Fast Automatic Localization of Epileptic Seizure Onset Zones Using Complex Morlet Wavelet Transform-based Singular Value Decomposition

2018 37th Chinese Control Conference (CCC), 2018
A new method for localization of epileptic seizure onset zones (SOZs) is proposed, which uses the Shannon-entropy-based complex Morlet wavelet transform to extract a satisfactory time-frequency feature of high-frequency oscillations (HFOs). The singular value decomposition and the K-medoids clustering algorithm are employed to extract effective ...
Zelin Fang, Xiongbo Wan, Ting Wan
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A Quick Trip into Local Singularities of Complex Curves and Surfaces

2020
In these notes we give a summary of some of the properties of curve and surface singularities needed in the study of Lipschitz geometry of singular varieties. In particular, we describe normalization and resolution processes, and we introduce the concepts of polar curves and exceptional tangents for surfaces.
openaire   +1 more source

Synthesis and Structural Characterization of the One-Dimensional [Cu(3-Clpy)2(N3)2]n Complex (3-Clpy = 3-Chloropyridine):  A Singular Ferrimagnetic Chain with Local SA = SB

Inorganic Chemistry, 1998
Ferrimagnetic behavior has been found for the one-dimensional azido-bridged compound [Cu(3-Clpy)2(N3)2]n, in which 3-Clpy is 3-chloropyridine.
Albert, Escuer   +4 more
openaire   +2 more sources

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