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Results tagged with vector-bundles
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user 524642
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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Moduli space of stable bundles with fixed Chern class is bounded
This is an excerpt on a set of lecture notes I'm going over:
Classically, a lot of interest in stable vector bundles is due to the fact that stability allows the study of moduli of vector bundles via …
- 73
2
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answer
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Proving that $H^1(X,\mathcal{Hom}(\mathcal{G},\mathcal{E})) \cong \text{Ext}^1(\mathcal{G},\...
The following passage is from a thesis I'm reading:
Suppose we have a short exact sequence of vector bundles $$0 \to \mathcal{E} \to \mathcal{F}\to \mathcal{G} \to 0.$$ Since these sheaves are locall …
- 3,625