Results 11 to 20 of about 5,837 (259)
Complex singularities and PDEs
, 2015 In this paper we give a review on the computational methods used to characterize the complex singularities developed by some relevant PDEs. We begin by reviewing the singularity tracking method based on the analysis of the Fourier spectrum. We then introduce other methods generally used to detect the hidden singularities.
Caflisch, R. E. +3 more
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Axisymmetric solutions to Einstein field equations via integral transforms
Heliyon, 2023 In this paper, we present new axisymmetric and reflection symmetric vacuum solutions to the Einstein field equations. They are obtained using the Hankel integral transform method and all three solutions exhibit naked singularities.
D. Batic, N.B. Debru, M. Nowakowski
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Rigidity properties of holomorphic Legendrian singularities [PDF]
Épijournal de Géométrie Algébrique, 2019 We study the singularities of Legendrian subvarieties of contact manifolds in the complex-analytic category and prove two rigidity results. The first one is that Legendrian singularities with reduced tangent cones are contactomorphically biholomorphic to
Jun-Muk Hwang
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On the Links of Simple Singularities, Simple Elliptic Singularities and Cusp Singularities
Demonstratio Mathematica, 2015 This is a survey article about the study of the links of some complex hypersurface singularities in ℂ3 . We study the links of simple singularities, simple elliptic singularities and cusp singularities, and the canonical contact structures on them. It is
Kasuya Naohik
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Polarization singularities in isotropic random vector waves [PDF]
, 2001 Following Nye & Hajnal, we explore the geometry of complex vector waves by regarding them as a field of polarization ellipses. Singularities of this field are the C lines and L lines, where the polarization is purely circular and purely linear ...
Dennis, MR +5 more
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LCK metrics on complex spaces with quotient singularities [PDF]
, 2020 In this article we introduce a generalization of locally conformally Kähler metrics from complex manifolds to complex analytic spaces with singularities and study which properties of locally conformally Kähler manifolds still hold in this new setting. We
Preda, Ovidiu, Ionita, George-Ionut
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Coulomb branches with complex singularities
Journal of High Energy Physics, 2018 We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated.
Philip C. Argyres, Mario Martone
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Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]
, 2010 In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L. +5 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés +4 more
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