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Duality of Cusp Singularities (Complex Analysis of Singularities)
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CLASSIFICATION OF NORMAL SURFACE SINGULARITIES (Complex Analysis of Singularities)
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Rational Singularities with $C^*$-Action (Complex Analysis of Singularities)
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Complex Spaces with Singularities
The Annals of Mathematics, 1953In the case of one complex variable if a Riemann surface A is spread out over a Riemann surface B and A has (isolated) ramification points of the familiar kind, then by adding such points to A the local Euclidean character is preserved and the analytic structure can be then adjusted so as to absorb the ramification points conformally as well.
Bochner, Salomon, Martin, W. T.
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Sculpting complex polarization singularity networks
Optics Letters, 2018Polarization singularities in vectorial light fields have become an important tool for different cutting-edge applications such as information processing with integer information units. However, even though vectorial singularities naturally form configurations of multiple singular points, up to now only rather simple, mostly cylindrical vector beams ...
Eileen, Otte, Cornelia, Denz
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Complex Singularities in Production Amplitudes
Journal of Mathematical Physics, 1963It is shown for a simple model of production that Watson's scheme for final-state interaction may be good even though the amplitude has complex singularities. The method used consists in continuing analytically partial-wave dispersion relations. Stress is put upon the necessity of correctly choosing the cuts starting at the complex singularities.
Bessis, D., Pham, F.
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Singularities in complex interfaces
Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1990We analyse an equation describing the motion of the material interface between two fluids in a pressure field. The interface can be expressed as the image of the unit circle under a certain time depending conformal map. This conformal transformation maps the exterior of the unit circle onto the region occupied by one of the fluids.
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SINGULAR INTEGRAL EQUATIONS WITH COMPLEX TRANSLATIONS
Acta Mathematica Scientia, 1999A class of singular integral equations with complex translations is discussed. By using the Plemelj projection method the authors reduce them to a boundary value problem of analytic functions in \(A+ \widehat H_0\) with upper translation and a boundary value problem of analytic functions in \(A-\widehat H_0\) with lower translation, which are solved ...
Du, Jinyuan, Hu, Jicheng
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Complex singularities in KdV solutions
Ricerche di Matematica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GARGANO, Francesco +3 more
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Real and Complex Singularities
2010The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth meeting, celebrating the 60th birthdays of Terence Gaffney and Maria Aparecida Soares Ruas, was a ...
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