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Hodge Theory of Isolated Hypersurface Singularities
(CIMAT, 2015)
Counting singularities via fitting ideals
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2012)
The stable singularities of differential map germs constitute the main source of studying the geometric and topological behavior of these maps. In particular, one interesting problem is to find formulae which allow us to ...
EQUIVALENCE OF REAL MILNOR FIBRATIONS FOR QUASI-HOMOGENEOUS SINGULARITIES
(ROCKY MT MATH CONSORTIUMTEMPE, 2012)
We show that for real quasi-homogeneous singularities f : (R-m, 0) -> (R-2, 0) with isolated singular point at the origin, the projection map of the Milnor fibration S-epsilon(m-1) \ K-epsilon -> S-1 is given by ...
Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses
(Springer, 2020-04-03)
The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series containing non-uniform structures with only ...
Codimension 1 distributions on three dimensional hypersurfaces
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2023)
Functions and vector fields on C(ℂPn)-singular manifolds
(2015-12-01)
In this paper we study functions and vector fields with isolated singularities on a C(ℂPn)-singular manifold. In general, a C(ℂPn)-singular manifold is obtained from a smooth (2n + 1)-manifold with boundary which is a ...