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Results tagged with complex-geometry
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user 43593
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
3
votes
1
answer
175
views
Polynomials with Unique Critical Value
My question is extremely simple to state: I am looking for a characterization of multivariate complex polynomials $f$ such that $f(Sing(f))=\{0\}$. My motivation is that I recently read somewhere that …
- 141
1
vote
Accepted
Polynomials with Unique Critical Value
Whoops, figured it out, at least in the case of complex polynomials.
We're looking for the set of $f$ such that $Z(f)=f^{-1}(0)\subseteq Z(j(f))$, where $j(f)$ denotes the Jacobian ideal of $f$. Howe …
- 141