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Results tagged with vector-bundles
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user 2900
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.
6
votes
1
answer
2k
views
when is a section of vector bundle determined by its zero locus?
Let $V_X$ be a vector bundle of rank $r>1$ on a smooth (connected) projective variety of dimension $r$. Let s be the global holomorphic section, whose zero locus is a zero dimensional subscheme $Z\sub …
- 2,232
3
votes
1
answer
399
views
the pfaffian-adjugate and its counterparts for matrices odd size
Let $R$ be a commutative ring (zero characteristic). Take a skew-symmetric matrix $A\in Mat^{skew-sym}(n,R)$.
If $n$ is even, then $\det(A)=Pf^2(A)$ and there exists the "Pfaffian adjugate/adjoint" …
- 2,232