Mathematics – Number Theory
Scientific paper
2010-08-12
Mathematics
Number Theory
Scientific paper
Let $A^{lev}_{11}$ be the moduli space of (1,11)-polarized abelian surfaces with level structure of canonical type. Let $\chi$ be a finite character of order 5 with conductor 11. In this paper we construct five endoscopic lifts $\Pi_i,0\le i\le 4$ from two elliptic modular forms $f\otimes\chi^i$ of weight 2 and $g\otimes\chi^i$ of weight 4 with complex multiplication by $Q(\sqrt{-11})$ such that ${\Pi_i}_\infty$ gives a non-holomorphic differential form on $A^{lev}_{11}$ for each $i$. Then the spinor L-function is of form $L(f\otimes\chi^i,s-1)L(g\otimes\chi^i,s)$ such that $L(g\otimes\chi^i,s)$ does not appear in the L-function of $A^{lev}_{11}$ for any $i$. The existence of such lifts is motivated by the computation of the L-function of Klein's cubic hypersurface which is a birational smooth model of $A^{lev}_{11}$.
Okazaki Takeo
Yamauchi Takuya
No associations
LandOfFree
Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-586627