Timeline for Axiomatizing Gross-Zagier formulae
Current License: CC BY-SA 3.0
4 events
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| Apr 23, 2015 at 12:23 | comment | added | Filippo Alberto Edoardo | Beautiful answer! As for your final question about these points being related to Heegner points, do you ethink one expects Heegner points at all along some anticyclotomic extension of the field at hand? | |
| Oct 26, 2012 at 11:29 | comment | added | François Brunault | Yes, these are the questions. I'm not trained enough in GZ computations so I would still need to flesh out these questions in some more precise way... | |
| Oct 26, 2012 at 9:27 | comment | added | Victor Rotger | So nice. This gives support to an affirmative answer to Question 1 in a non-self dual situation: remember I'm not asking how to construct the points. Assuming the existence of the point (which in examples 2,3,4 is granted by BSD), I am asking what would one need to prove ( about the L-function and about the point) in order to prove a Gross-Zagier formula. Since the original proof of Gross-Zagier is a computation which, to a large extent, works independently on both sides, these are really two questions: what does one need to prove about $L(\pi,s)$ and what about the point or cycle? | |
| Oct 25, 2012 at 14:29 | history | answered | François Brunault | CC BY-SA 3.0 |