Timeline for Siegel modular forms as sections of line bundles over the period domain
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 4, 2019 at 15:38 | answer | added | shehryar sikander | timeline score: 0 | |
| Aug 2, 2010 at 19:09 | vote | accept | Samuel Monnier | ||
| Aug 2, 2010 at 19:09 | comment | added | Samuel Monnier | Thanks to all, and especially to Emerton for taking the time to explain in detail the construction of equivariant bundles. It turns out that the classification result I was after is contained in Andy's paper (with some mild restrictions on the genus and level structure). Thanks again! | |
| Aug 2, 2010 at 17:49 | answer | added | Barbara | timeline score: 6 | |
| Aug 2, 2010 at 16:42 | comment | added | Donu Arapura | OK, thanks I'll take a look at your paper. | |
| Aug 2, 2010 at 16:39 | comment | added | Andy Putman | @Donu : see my answer below. | |
| Aug 2, 2010 at 16:37 | comment | added | Donu Arapura | Modulo torsion my guess about $Pic(A_g)$ ought to follow from Borel's "Stable real cohomology of arithmetic groups". If anyone knows anything more precise, please let me know. | |
| Aug 2, 2010 at 16:34 | answer | added | Andy Putman | timeline score: 7 | |
| Aug 2, 2010 at 16:24 | comment | added | Donu Arapura | A small correction: the period domain is usually the thing you take the quotient of -- in this case the Siegel's upper half plane $H_g$. But otherwise yes, Siegel modular form should correspond to sections of line bundles on $A_g = H_g/Sp(2g, Z)$. I would image that $Pic(A_g)=Z$ for g large enough. I notice that Emerton has given some references. There may be something more classical also, although I don't have anything specific in mind. You could start with Birkenhake and Lange's book on complex abelian varieties for example. | |
| Aug 2, 2010 at 16:10 | answer | added | Emerton | timeline score: 10 | |
| Aug 2, 2010 at 15:13 | history | edited | Samuel Monnier | CC BY-SA 2.5 |
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| Aug 2, 2010 at 15:00 | history | asked | Samuel Monnier | CC BY-SA 2.5 |