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Results tagged with vector-bundles
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user 134494
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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Rank of a tangent map related to holomorphic line bundles
Let $L,\,\,J$ be two holomorphic line bundles over a compact Riemann surface $X$ of genus $g_X>0$ such that
(1) $d_1:=\dim H^0\big(\operatorname{Hom}(L,J)\big)>0$ and $d_2:=\dim H^0\big(\operatorname{ …
- 391
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Extension of holomorphic line bundles
Let $E$ be a rank two holomorphic vector bundle, consider the following extension of two holomorphic line bundles
$$
\mathbb{E}:\ 0\rightarrow S\stackrel{j}{\rightarrow}E\stackrel{g}{\rightarrow} Q\ri …
- 391