Timeline for Life after Hartshorne (the book, not the person)...
Current License: CC BY-SA 3.0
7 events
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| Jun 17, 2016 at 1:42 | comment | added | karl | thank you very much for your advice and efforts to help me, I appreciate it! I will need time to absorb what you wrote here, and will take a look at Griffiths' and Kempf's books. I aim to understand both analytical and algebraic sides of the subject (plus arithmetic once I understand the geometry better, which may take a long time to achieve), so it's great to know many good sources! Thanks again | |
| Jun 16, 2016 at 21:45 | comment | added | roy smith | I have edited my answer above to give some hints on reading ACGH. I again highly recommend Kempf. | |
| Jun 16, 2016 at 21:43 | history | edited | roy smith | CC BY-SA 3.0 |
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| Jun 16, 2016 at 20:03 | comment | added | roy smith | maybe ACGH is too complex analytic for you after Hartshorne. Have you tried Griffiths' lectures from China on algebraic curves? that uses a lot of complex analysis to warm up on. Or maybe if your outlook is more algebraic, George Kempf's book on Abelian Integrals would be nice. for specific advice on reading ACGH, I suggest sampling it, working problems, choosing nice subsections, like the torelli theorem, instead of plowing through everything. there is a huge amount of material already in chapter 1, not to mention the exercises there. just pick stuff that looks fun. | |
| Jun 14, 2016 at 2:05 | comment | added | karl | Dear @roysmith: sorry to join the party too late. I am trying to read Vol. 1 of Geometry of Algebraic Curves and find it a little hard to penetrate, even after a reasonable understanding of Harthorne (in my not-so-high standard). I was wondering if you have any suggestions regarding how to make reading Vol. 1 smoother. Many thanks in advance! | |
| Apr 23, 2011 at 5:13 | comment | added | roy smith | Try Riemann's paper on Abelian functions, and Andreotti-Mayers paper on abelian integrals, and George Kempf's book on abelian integrals. | |
| Apr 15, 2011 at 20:30 | history | answered | roy smith | CC BY-SA 3.0 |