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Results tagged with ag.algebraic-geometry
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user 41487
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
4
votes
1
answer
687
views
Is a localization of a reduced finitely generated algebra analytically unramified?
Suppose that $A$ is a reduced finitely generated algebra over a field and $\mathfrak{m}\subset A$ is a maximal ideal. Is it true that the localization $A_{\mathfrak{m}}$ is analytically unramified, i. …
CommunityBot
- 1
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 $I$.
…
- 4,111
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 …
- 63.9k
2
votes
0
answers
635
views
the ideal of intersection of varieties
Consider a smooth algebraic variety $X$ over $\mathbb C$. Suppose that one has two smooth closed subvarieties $Y_1$ and $Y_2$ and let $Z = Y_1\cap Y_2$. Denote by $I_1$ the ideal corresponding to $Y_1 …
- 465