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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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 …
1 vote
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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 …
Mose Wintner's user avatar