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Describe the singularity of $\frac{xy}{x^2 + y^2}$ near $(x,y) = (0,0)$

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#multivariable-calculus #singularity-theory
53
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$(p,q)$-forms for analytical spaces?

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#complex-analysis #algebraic-geometry #analytic-geometry #singularity-theory
79
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Intersection form of a Pseudomanifold

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#algebraic-topology #quadratic-forms #low-dimensional-topology #singularity-theory
191
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Are isolated singularities always cone-like?

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#algebraic-topology #singularity-theory
1.5k
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Find and classify singularities, calculate their residues

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#complex-analysis #residue-calculus #singularity-theory
49
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characterization of singularities of dynamic system

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#dynamical-systems #vector-fields #singularity-theory
41
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complex function -singular points of function

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#complex-analysis #singularity-theory
950
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Small contractions as blow ups

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#algebraic-geometry #singularity-theory #birational-geometry
148
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Local equation(s) for transversal (surface) singularities

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#algebraic-geometry #singularity-theory #transversality
82
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Sparse matrix computational difficulties

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#matrix-equations #matrix-decomposition #singularity-theory #sparse-matrices
644
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Definition of $\operatorname{Pic}^0(V)$ for $V$ a singular variety

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#algebraic-geometry #vector-bundles #singularity-theory #picard-scheme
759
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asymptotic expansion for integral when integrand is function of limits

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#integration #definite-integrals #asymptotics #singularity-theory
96
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Extension of holomorphic function to exceptional divisors

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#complex-analysis #complex-geometry #several-complex-variables #singularity #singularity-theory
130
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Same homotopy type as circle

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#proof-verification #algebraic-topology #differential-topology #singularity-theory
146
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algebraic de Rham cohomology of normal crossing singularities

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#algebraic-geometry #sheaf-cohomology #singularity-theory #de-rham-cohomology

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