Timeline for Reference request: generalized Jacobian variety for higher dimensional variety
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 24 at 12:19 | vote | accept | Jooh | ||
| Sep 24 at 6:37 | answer | added | Oli Gregory | timeline score: 2 | |
| Sep 24 at 6:17 | comment | added | Jooh | @OliGregory Thanks, this is exactly what I'm searching for! | |
| Sep 24 at 5:49 | comment | added | Jooh | @naf Sorry for confusing, I'm mainly interested in cubic or quartic threefolds, so their intermediate Jacobians are ppav. | |
| S Sep 24 at 5:36 | history | suggested | J. W. Tanner |
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| Sep 24 at 2:29 | comment | added | naf | One doesn't get an extension of an abelian variety by $\mathbb{G}_m$ without some extra condition on $X$: the intermediate Jacobian of even a smooth hypersurface is not in general an abelian variety. | |
| Sep 23 at 22:09 | review | Suggested edits | |||
| S Sep 24 at 5:36 | |||||
| Sep 23 at 19:46 | comment | added | Oli Gregory | See the top of page 216 in S. Zucker, Generalized intermediate Jacobians and the theorem on normal functions, Invent. Math. 33 (1976), no.3, 185–222. Note that Zucker points to Theorem 16.16 in P. Griffiths, On the periods of certain rational integrals. II, Ann. of Math. (2) 90 (1969), 496–541. Griffiths in turn says this is due to M. Rosenlicht, Generalized Jacobian varieties, Ann. of Math. (2) 59 (1954), 505–530. | |
| Sep 23 at 19:29 | comment | added | Joseph Harrison | maybe try a mathscinet search for articles referencing ams.org/journals/tran/1979-253-00/S0002-9947-1979-0536936-4/… ? i would do this myself, but i cannot at the moment | |
| Sep 23 at 18:22 | history | asked | Jooh | CC BY-SA 4.0 |