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Results tagged with singularity-theory
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user 13139
Singularities in algebraic/complex/differential geometry and analysis of ODEs/PDEs. Singular spaces, vector fields, etc.
2
votes
1
answer
354
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T^i functors are isomorphic for analytically isomorphic isolated singular points
I've been having trouble proving the following:
Let $B$ and $B'$ be local rings, essentially of finite type over $k$, having isolated singularities at the closed points. Suppose that they are analyti …
CommunityBot
- 1
2
votes
3
answers
586
views
Alterations factor as modification + finite map
I'm learning about de Jong's theory of resolution of singularities and the following fact is used numerous times: an alteration of varieties $h: X \rightarrow Y$ factors as $X \xrightarrow{\pi} Z \xri …
- 1,673
1
vote
Alterations factor as modification + finite map
Thanks to Sándor for the idea of Stein factorization. By Stein factorization as proven in EGA III, 4.3.3 for proper morphisms we have that $\phi$ (I've switched the direction of the morphism) factors …
- 2,108