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Removed "fluff" as per: https://meta.mathoverflow.net/questions/2208/editing-etiquette. Cleaned up exposition. Added tag, and removed another (adjusted title to account for new tag).
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Sean Lawton
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Reference request - about Preparation for GIT  (geometric invariant theoryGeometric Invariant Theory)

(I don't know whether it is proper to post such a problem here.)

I am trying to read Mumford's Geometric Invariant Theory, however, I find my knowledge in algebraic geometry is inadequate. My knowledge in ag is at the level of Hartshorne's Algebraic Geometry. Mumford citedcites a lot of results from EGA and SGA, but I cannot read French. Therefore, I want to ask that: What should I read if I want to read this monograph?

What should I read if I want to read GIT?

I should mention that most of my knowledge is in Differential Geometry, anddifferential geometry. I want to read Mumford's work to get a comprehension inunderstand stable bundles and moment mapmaps from another respect, which isperspective; different from differential geometry. Any alternatives of Mumford's work will also be acceptable.

I am not a native English speaker, so there maybe some mistakes above. I would like to thank anyone who is willing to help.

Any suggestions for alternatives to Mumford's work will also be acceptable.

Reference request - about GIT(geometric invariant theory)

(I don't know whether it is proper to post such a problem here.)

I am trying to read Mumford's Geometric Invariant Theory, however I find my knowledge in algebraic geometry is inadequate. My knowledge in ag is at the level of Hartshorne's Algebraic Geometry. Mumford cited a lot of results from EGA and SGA, but I cannot read French. Therefore, I want to ask that: What should I read if I want to read this monograph?

I should mention that most of my knowledge is in Differential Geometry, and I want to read Mumford's work to get a comprehension in stable bundles and moment map from another respect, which is different from differential geometry. Any alternatives of Mumford's work will also be acceptable.

I am not a native English speaker, so there maybe some mistakes above. I would like to thank anyone who is willing to help.

Preparation for GIT  (Geometric Invariant Theory)

I am trying to read Mumford's Geometric Invariant Theory, however, I find my knowledge in algebraic geometry is inadequate. My knowledge is at the level of Hartshorne's Algebraic Geometry. Mumford cites a lot of results from EGA and SGA, but I cannot read French. Therefore, I want to ask:

What should I read if I want to read GIT?

I should mention that most of my knowledge is in differential geometry. I want to read Mumford's work to understand stable bundles and moment maps from another perspective; different from differential geometry.

Any suggestions for alternatives to Mumford's work will also be acceptable.

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ZetaW
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Reference request - about GIT(geometric invariant theory)

(I don't know whether it is proper to post such a problem here.)

I am trying to read Mumford's Geometric Invariant Theory, however I find my knowledge in algebraic geometry is inadequate. My knowledge in ag is at the level of Hartshorne's Algebraic Geometry. Mumford cited a lot of results from EGA and SGA, but I cannot read French. Therefore, I want to ask that: What should I read if I want to read this monograph?

I should mention that most of my knowledge is in Differential Geometry, and I want to read Mumford's work to get a comprehension in stable bundles and moment map from another respect, which is different from differential geometry. Any alternatives of Mumford's work will also be acceptable.

I am not a native English speaker, so there maybe some mistakes above. I would like to thank anyone who is willing to help.