Timeline for Construction of the determinant line bundle on the degree $g-1$ Picard variety
Current License: CC BY-SA 2.5
5 events
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| Mar 30, 2011 at 16:32 | vote | accept | Marco Gualtieri | ||
| Mar 17, 2011 at 17:07 | comment | added | solbap | In chapter 17 of Abelian Varieties, Theta Functions and the Fourier Transform, Polishchuk goes through a similar construction to the one you outline above in a characteristic free way. It uses the Fourier-Mukai transform of a line bundles on degree g-1 on your curve. I wouldn't say its any simpler than the construction you outlined but it certainly uses the tools of algebraic geometry. Although I would venture to say that the construction you outlined only uses tools of at least complex algebraic geometry. | |
| Mar 17, 2011 at 7:33 | answer | added | jlk | timeline score: 16 | |
| Mar 17, 2011 at 2:29 | history | edited | Marco Gualtieri | CC BY-SA 2.5 |
added 53 characters in body
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| Mar 17, 2011 at 1:47 | history | asked | Marco Gualtieri | CC BY-SA 2.5 |