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NON-NEGATIVE DEFORMATIONS OF WEIGHTED HOMOGENEOUS SINGULARITIES
Glasgow Mathematical Journal, 2017AbstractWe consider a weighted homogeneous germ of complex analytic variety (X, 0) ⊂ (ℂn, 0) and a function germ f : (ℂn, 0) → (ℂ, 0). We derive necessary and sufficient conditions for some deformations to have non-negative degree (i.e., for any additional term in the deformation, the weighted degree is not smaller) in terms of an adapted version of ...
Nuño-Ballesteros, J. J. +2 more
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Deformation of Singularities Via Quivers
2000McKay linked together binary polyhedral groups and the extended CDW - diagrams. A geometric explanation for this phenomenon was given by Artin and Gonzales - Sprinberg, Artin and Verdier, and Esnault. Ebeling, Slodowy [8] and Cassens [2] constructed the versal deformation in terms of representations of the quivers in case of Kleinian singularity ...
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Mechanics and functional consequences of nuclear deformations
Nature Reviews Molecular Cell Biology, 2022Andrew D Stephens +2 more
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Finite-time cosmological singularities and the possible fate of the Universe
Physics Reports, 2023Vasilis K Oikonomou
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Poisson deformations of symplectic quotient singularities
Advances in Mathematics, 2004Victor Ginzburg
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The Milnor number and deformations of complex curve singularities
Inventiones Mathematicae, 1980Gert-Martin Greuel
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