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Results tagged with cv.complex-variables
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user 41487
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
5
votes
0
answers
205
views
Is a holomorphic function on a subvariety of $\mathbb C^n$ locally a restriction?
Suppose that $X\subset \mathbb C^n$ is a subvariety (locally given by holomorphic equations) and $f: X\to \mathbb C$ is a function. Suppose that $f$ is
1) continuous,
2) holomorphic on the smooth pa …
- 465
16
votes
1
answer
667
views
Do prime ideals in polynomial ring generate prime ideals in the ring of holomorphic functions?
Suppose that $I \subset \mathbb C[z_1,\dots, z_n]$ is a prime ideal. Consider the ideal $I_{hol}$ in the ring of holomorphic functions $f: \mathbb C^n\to \mathbb C$ generated by polynomials from $I$.
…
- 465