Timeline for On the Hasse-Weil L-function of $P^n$

6 events

when toggle format	what		by	license	comment
May 23, 2012 at 21:50	vote	accept	Hugo Chapdelaine
May 23, 2012 at 21:50	comment	added	Hugo Chapdelaine		Dear anonymous, thanks for the clarifications. Indeed, this question involved too much wishful thinking!
May 23, 2012 at 2:02	history	edited	user631	CC BY-SA 3.0	added 1879 characters in body
May 21, 2012 at 13:24	comment	added	Hugo Chapdelaine		Of course if one projects $V_3$ on $V_2$ or if one tries to embed $V_2$ in $V_3$ then these maps won't be holomorphic since $V_3$ (which is of real dimension $5$) does not even support a complex structure.
May 21, 2012 at 12:01	comment	added	Hugo Chapdelaine		Dear anonymous, in the case of $SL_n$ the symmetric space is $V_n=\{A\in M_{n x n}(\mathbf{R}): A=A^t, A>0, det(A)=1\}$. So this is a space of real dimension $n(n+1)/2-1$. So are you saying that there won't be a way of projecting $V_3$ to $V_2$ that would allow us to relate $f(q)$ to an automorphic form on $V_3$?
May 21, 2012 at 7:02	history	answered	user631	CC BY-SA 3.0