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Sean Lawton
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What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

The main point of my response is not to just offer a reference. It is to suggest that a good reading assignment for a graduate student might involve reading and modifying an argument. I think this puts the student in a position to need to actively understand the ideas, but just passively read them.

I recall reading in a different paper (of H. Boden) that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); already mentioned in a comment. So perhaps it is best to have the student not look at that one (for the exercise), but it is good for the mentor to have resources in case one gets stuck. For the record, Hans Boden's papers on parabolic bundles also make good papers for graduate students to read (since he writewrites well); in particular, his paper Variations of moduli of parabolic bundles is rather nice.

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

The main point of my response is not to just offer a reference. It is to suggest that a good reading assignment for a graduate student might involve reading and modifying an argument. I think this puts the student in a position to need to actively understand the ideas, but just passively read them.

I recall reading in a different paper (of H. Boden) that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); already mentioned in a comment. So perhaps it is best to have the student not look at that one (for the exercise), but it is good for the mentor to have resources in case one gets stuck. For the record, Hans Boden's papers on parabolic bundles also make good papers for graduate students to read (since he write well); in particular, his paper Variations of moduli of parabolic bundles is rather nice.

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

The main point of my response is not to just offer a reference. It is to suggest that a good reading assignment for a graduate student might involve reading and modifying an argument. I think this puts the student in a position to need to actively understand the ideas, but just passively read them.

I recall reading in a different paper (of H. Boden) that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); already mentioned in a comment. So perhaps it is best to have the student not look at that one (for the exercise), but it is good for the mentor to have resources in case one gets stuck. For the record, Hans Boden's papers on parabolic bundles also make good papers for graduate students to read (since he writes well); in particular, his paper Variations of moduli of parabolic bundles is rather nice.

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Sean Lawton
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  • 78

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

HoweverThe main point of my response is not to just offer a reference. It is to suggest that a good reading assignment for a graduate student might involve reading and modifying an argument. I think this puts the student in a position to need to actively understand the ideas, but just passively read them.

I recall reading in a different paper (of H. Boden) that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); but Ialready mentioned in a comment. So perhaps it is best to have not seenthe student not look at that myselfone (for the exercise), but it is good for the mentor to have resources in case one gets stuck. For the record, Hans Boden's papers on parabolic bundles also make good papers for graduate students to read (since he write well); in particular, his paper Variations of moduli of parabolic bundles is rather nice.

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

However, I recall reading in a different paper that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); but I have not seen that myself.

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

The main point of my response is not to just offer a reference. It is to suggest that a good reading assignment for a graduate student might involve reading and modifying an argument. I think this puts the student in a position to need to actively understand the ideas, but just passively read them.

I recall reading in a different paper (of H. Boden) that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); already mentioned in a comment. So perhaps it is best to have the student not look at that one (for the exercise), but it is good for the mentor to have resources in case one gets stuck. For the record, Hans Boden's papers on parabolic bundles also make good papers for graduate students to read (since he write well); in particular, his paper Variations of moduli of parabolic bundles is rather nice.

Source Link
Sean Lawton
  • 8.5k
  • 3
  • 46
  • 78

What about Mehta and Seshadri (Math. Ann. 248, 1980)?

Their paper handles the genus 2 or more cases (with a focus on one marked point), but my understanding is that their result and proof (generically) generalizes to genus 1 and 0 (and arbitrary many marked points). Perhaps a good project for your student would be to read their paper, and explain how the genus 1 case can be deduced from their work.

However, I recall reading in a different paper that a detailed account of the genus 1 and 0 cases is in Seshadri (Asterisque, 96,1982); but I have not seen that myself.