Timeline for $p$-adic uniformisation of abelian varieties
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 17, 2016 at 5:42 | comment | added | nfdc23 | There is a 1991 paper by Bosch and Lutkebohmert called "Degenerating Abelian Varieties" which discusses these matters in much wider generality (abeloid spaces and their Picard functors over any rigid-analytic base), though the book is probably more accessible than the research article (does seem a pity that the book assumes the ground field to be algebraically closed in that discussion, even though the methods used are more widely applicable). The book was published only in the last month or two. | |
| Apr 17, 2016 at 5:11 | comment | added | cannonball | Thanks a lot ! I couldn't find the book on the usual russian sites so I'll have to wait until monday (if they have it at my university) to check this out. | |
| Apr 16, 2016 at 22:33 | comment | added | nfdc23 | This is about 2 things: the relationship between uniformizations of an abelian variety and its dual for split toric reduction (really duality between the two uniformization lattices), a canonical isomorphism between the uniformization lattice and the character lattice of the split torus identity component of the special fiber of the Neron model of the dual abelian variety. These are addressed by the analytic construction of the dual, explained in 6.3 of Lutkebohmert's new book "Rigid geometry of curves and their Jacobians", alas written for alg. closed ground field but applies in general. | |
| S Apr 16, 2016 at 9:12 | history | suggested | Amir Sagiv | CC BY-SA 3.0 |
added reference tag , changed english and added links to papers
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| Apr 16, 2016 at 9:01 | review | Suggested edits | |||
| S Apr 16, 2016 at 9:12 | |||||
| Apr 16, 2016 at 7:15 | review | First posts | |||
| Apr 16, 2016 at 7:58 | |||||
| Apr 16, 2016 at 7:14 | history | asked | cannonball | CC BY-SA 3.0 |