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Results tagged with vector-bundles
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user 750
A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.
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The correspondence between affine vector bundles and f.g. projective modules
Given any $R$-module $M$, there is a scheme which corresponds to the 'total space' of $M$, given by
$$ Tot(M):=Spec( Sym_R(M*))$$
where $M*$ is the dual module $Hom_R(M,R)$ and $Sym_RM*$ is the symme …
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