every abelian scheme quotient of a Picard scheme? - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T11:06:59Z http://mathoverflow.net/feeds/question/85841 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85841/every-abelian-scheme-quotient-of-a-picard-scheme every abelian scheme quotient of a Picard scheme? Timo Keller 2012-01-16T20:05:49Z 2013-05-25T22:22:00Z <p>Is every abelian scheme $\mathcal{A}/X$ under suitable conditions on $X$ a quotient of a Picard scheme of a curve $\mathcal{C}/X$? I need it for $X/\mathbf{F}_q$ smooth projective.</p> http://mathoverflow.net/questions/85841/every-abelian-scheme-quotient-of-a-picard-scheme/120581#120581 Answer by Timo Keller for every abelian scheme quotient of a Picard scheme? Timo Keller 2013-02-02T09:51:42Z 2013-02-14T15:19:21Z <p>Let me sketch an idea why <em>there are not enough Jacobians</em>. At some points I have asked for references/proofs in []. Edit: Didn't work out as hoped.</p>