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Can we approximate a vector field on the plane with non-vanishing vector fields in $L^2$?

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#real-analysis #differential-topology #lp-spaces #vector-fields #singularity-theory
74
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Complex structure deformations of toric Calabi-Yau 3-folds

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#complex-geometry #singularity-theory #deformation-theory
86
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Show that if $f \sim^{\mathcal{R}} g$, then $\text{ord } (f) = \text{ord } (g)$.

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#abstract-algebra #polynomials #ring-homomorphism #singularity-theory #polynomial-rings
85
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Reference request: Knots that don't come from Milnor spheres.

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#algebraic-curves #knot-theory #singularity #singularity-theory #knot-invariants
554
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Exceptional divisor of the blow-up of affine cone at the vertex

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#algebraic-geometry #reference-request #commutative-algebra #singularity-theory #blowup
200
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Isolated critical points and the Milnor number

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#algebraic-geometry #singularity-theory
281
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Tangent cone of a non-isolated singular point

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#algebraic-geometry #complex-geometry #intersection-theory #singularity-theory
156
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the range of the entire function $ e^z(1+\cos\sqrt{z} ) $ Picard's Great theorem for

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#complex-analysis #singularity #singularity-theory
471
Views

Unknot: embedded vs immersed bounding disk

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#differential-topology #geometric-topology #knot-theory #singularity-theory
38
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Prove that for for an arbitrary linear operator all eigenvalues lie in a circular ring.

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#linear-algebra #operator-theory #singularity-theory
54
Views

Is the desingularization of this surfaces of general type?

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#algebraic-geometry #surfaces #singularity-theory #deformation-theory
1k
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Contour integral around an essential singularity

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#contour-integration #singularity #cauchy-integral-formula #singularity-theory #cauchy-principal-value
45
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Smooth maps to singular sets

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#real-analysis #singularity-theory
74
Views

Polynomials with nondegenerate critical points and their derivatives

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#polynomials #singularity-theory #coprime
50
Views

Does any function germ belong to its gradient ideal?

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#complex-analysis #commutative-algebra #singularity-theory

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