Timeline for A question on deformations of Theta divisor in the Jacobian of a complex curve
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 2, 2012 at 2:19 | history | edited | Felipe Voloch | CC BY-SA 3.0 |
corrected mistake; edited body
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| Apr 27, 2012 at 15:25 | comment | added | aglearner | Felipe, thank you for giving more details! Once we know that $D$ is ample we can indeed use Kodaira vanishing to deduce $H^i(A,O(D))=0$ for $i>0$. | |
| Apr 27, 2012 at 15:15 | history | edited | Felipe Voloch | CC BY-SA 3.0 |
grammar
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| Apr 27, 2012 at 6:56 | comment | added | Alexander Chervov | Is there some simple way to explain that theta divisor is principal ? and ample ? I cannot remember now, it seems to me there was such an argument... Riemann-Roch for abelian varieties - we can use just Hircebruch's version and we are lucky that canonical class is equal to zero for any abelian variety so we get just ch( D) which is exp(D) = \sum_i D^i /i! - so the g-dimensional component is $D^g/g! $. | |
| Apr 27, 2012 at 2:14 | history | answered | Felipe Voloch | CC BY-SA 3.0 |