Talk:Picard–Fuchs equation

Latest comment: 8 months ago by 2A02:C7C:5C2C:3300:805E:E9F7:CCCF:CDEF

This page is badly written, and notations are inconsistent. — Preceding unsigned comment added by 77.202.170.9 (talk) 04:29, 26 November 2012 (UTC)Reply

What people call the Picard-Fuchs equation is something that now applies to any family of smooth proper varieties over a smooth one-dimensional base, i.e., the example with an elliptic curve is now only a special case. It would be nice to have the article discuss the more general version. SpecZ

This page is deeply confused. The equation y^2 = 4 x^3 - g_2 x - g_3 is the Weierstrass equation for an elliptic curve; it is satisfied by the Weierstrass P-function, a meromorphic function on a fixed elliptic curve, and has nothing to do with the Picard-Fuchs equation, which is satisfied by the periods of a varying elliptic curve. — Preceding unsigned comment added by 2A02:C7C:5C2C:3300:805E:E9F7:CCCF:CDEF (talk) 21:14, 16 March 2024 (UTC)Reply