Timeline for What do the numbers G_4 and G_6 of a lattice actually measure?
Current License: CC BY-SA 4.0
10 events
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S Sep 9, 2019 at 11:24 | history | edited | Ivan Izmestiev | CC BY-SA 4.0 |
latexed some latex
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S Sep 9, 2019 at 11:24 | history | suggested | Vincent | CC BY-SA 4.0 |
latexed some latex
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Sep 9, 2019 at 10:18 | review | Suggested edits | |||
S Sep 9, 2019 at 11:24 | |||||
Oct 28, 2014 at 19:25 | comment | added | Qiaochu Yuan | Note that a major obstruction to a purely geometric description of these numbers is that they aren't invariant under rotation, which rules out any interpretation in terms of angles, areas, and any other geometric invariants of a lattice which are invariant under rotation. | |
Feb 17, 2010 at 2:38 | history | edited | Steve Huntsman |
added modular form tag
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Feb 16, 2010 at 19:08 | vote | accept | Bruce Bartlett | ||
Feb 16, 2010 at 16:04 | answer | added | Steve Huntsman | timeline score: 1 | |
Feb 16, 2010 at 15:57 | answer | added | Emerton | timeline score: 9 | |
Feb 16, 2010 at 15:53 | comment | added | Kevin Buzzard | "Then G4 and G6 can be recovered as certain period integrals along the fundamental cycles of the elliptic curve. Is that right?". I don't think so. G_4 and G_6 are the numbers showing up in the polynomial equation relating the Weierstrass P-function to its derivative. See any book on elliptic curves over C, or Serre's "Course in arithmetic" (last chapter) for discussions on this sort of thing. | |
Feb 16, 2010 at 15:40 | history | asked | Bruce Bartlett | CC BY-SA 2.5 |