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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.
1
vote
Reference request: Moduli spaces of bundles over singular curves
Reference:
Cyril D'souza PHD thesis.(1974).
Tata Institute of fundamental research,Mumbai.
This thesis is concerned with constructing a "natural compactifiction" for the generalised jacobian of a sin …
61
votes
11
answers
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What are some open problems in algebraic geometry?
What are the open big problems in algebraic geometry and vector bundles?
More specifically, I would like to know what are interesting problems related to moduli spaces of vector bundles over projecti …