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Angelo
  • Member for 14 years, 9 months
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Can I conclude that a morphism of vector bundles is zero if it is so fiberwise?
Consider the case that $X = Y$, $f = \mathrm{id}_X$, $\cal U = \cal V = \cal O$, and $X$ is not reduced.
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Vanishing of Tor
$I^{n-1}/I^n$ is a free $R/I$-module, so the statement follows from a simple induction.
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A question about Weil algebra
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Are principal bundles isotrivial?
The conditions are in fact equivalent, at least when $k$ is infinite. I don't know a reference, but I know a proof, which I can post, if you'd like (although you seem to say that you have your own proof).
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Vanishing cohomology of de-Rham Witt complex
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Connectedeness of toric varieties
With the definition I know, every toric variety is connected.
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Smooth map to the stack of G-bundles
Oops, sorry, was thinking of classifying stacks.
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Smooth map to the stack of G-bundles
If $H$ is a subgroup of $G$, the map from the stack of $H$-bundles to the stack of $G$-bundles is a fiber bundle with fiber $G/H$.
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Is the Chow ring's push forward of inclusion map a ring homomorphism?
Before posting a question, you should at the very least look at some simple examples.
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Subgroups of algebraic groups
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