Timeline for Symmetric functions on three parameters being perfect squares
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 18, 2012 at 14:21 | vote | accept | Hej | ||
| Apr 18, 2012 at 2:58 | comment | added | Noam D. Elkies | (And often there are also singular points whose resolution contributes to NS.) | |
| Apr 18, 2012 at 2:46 | comment | added | Noam D. Elkies | It's mostly a surprisingly long collection of examples; I don't claim to have a structural "why". Heuristically what seems to happen is that — assuming the Diophantine equation is of the right dimension and complexity to yield a K3 surface in the first place — there's enough divisors coming from trivial solutions, and often enough symmetry, that there's barely enough room for the Néron-Severi lattice to accommodate them all under the constraint of rank at most $20$. | |
| Apr 18, 2012 at 2:40 | comment | added | Henry Cohn | At an appropriate time, I'd love to hear the story of why natural Diophantine equations often give rise to K3 surfaces of maximal or nearly-maximal Picard number. | |
| Apr 18, 2012 at 2:16 | history | answered | Noam D. Elkies | CC BY-SA 3.0 |