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Reference request: moduli spacespaces of vector bundles

I am trying to study the moduli spaces of holomorphic vector bundles fastquickly, and I'm primarily interested to understandin understanding:

  1. Why and werewhere the stability condition is importantused.
  2. How are the construction methodsmoduli spaces constructed.
  3. someWhat are the examples. (especially, especially in the case of vector bundles on curves).

I was looking for some references but I could not find any reasonable source online. I have the base for that and I don't want some thing very long and full of details.

I just want to see all the ideas very clearly without to much details.

Please tell me if you know any lecture notenotes or a book which contains this stuff.

Thanks in advance

Reference request: moduli space of vector bundles

I am trying to study the moduli of holomorphic vector bundles fast and I'm primarily interested to understand:

  1. Why and were the stability is important.
  2. How are the construction methods.
  3. some examples. (especially the case of vector bundles on curves)

I was looking for some references but I could not find any reasonable source online. I have the base for that and I don't want some thing very long and full of details.

I just want to see all the ideas very clearly without to much details.

Please tell me if you know any lecture note or book which contains this stuff.

Thanks in advance

Reference request: moduli spaces of vector bundles

I am trying to study the moduli spaces of holomorphic vector bundles quickly, and I'm primarily interested in understanding:

  1. Why and where the stability condition is used.
  2. How are the moduli spaces constructed.
  3. What are the examples, especially in the case of vector bundles on curves.

I was looking for some references but I could not find any reasonable source online. I have the base for that and I don't want some thing very long and full of details.

I just want to see all the ideas very clearly without to much details.

Please tell me if you know any lecture notes or a book which contains this stuff.

Thanks in advance

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Reference request: moduli space of vector bundles

I am trying to study the moduli of holomorphic vector bundles fast and I'm primarily interested to understand:

  1. Why and were the stability is important.
  2. How are the construction methods.
  3. some examples. (especially the case of vector bundles on curves)

I was looking for some references but I could not find any reasonable source online. I have the base for that and I don't want some thing very long and full of details.

I just want to see all the ideas very clearly without to much details.

Please tell me if you know any lecture note or book which contains this stuff.

Thanks in advance