Timeline for Identifying the canonical principal polarization of a Jacobian
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 14, 2016 at 15:42 | vote | accept | Lisa S. | ||
| Mar 14, 2016 at 5:15 | comment | added | nfdc23 | An elliptic curve has a canonical autoduality (if we maintain a clear distinction between an elliptic curve and its dual, as is always good to do; e.g., it removes any statement about a map being "the identity"), but apart from the appeal of the language of divisors is there a reason to prefer that one over its negative? The approach in Mumford's book, which uses line bundles rather than divisors, identifies a good property: the pullback along $(1,p)$ of the Poincare bundle should be ample! For that the autoduality in basic texts on elliptic curves is not the good one (it gives anti-ample). | |
| Mar 14, 2016 at 3:33 | answer | added | abx | timeline score: 9 | |
| Mar 14, 2016 at 1:34 | history | asked | Lisa S. | CC BY-SA 3.0 |