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3
votes
1
answer
1k
views
Connecting points on a variety by the image of a nonsingular curve
In Hartshorne's proof of a result of Igusa (see III, 9.13 of Hartshorne) he claims without proof that any two closed points on a variety can be connected by the image of a nonsingular curve, or by a f …
2
votes
1
answer
354
views
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 …