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VOL. 45 | 2006 On the cusp form motives in genus 1 and level 1
Caterina Consani, Carel Faber

Editor(s) Shigeru Mukai, Yoichi Miyaoka, Shigefumi Mori, Atsushi Moriwaki, Iku Nakamura

Abstract

We prove that the moduli space of stable $n$-pointed curves of genus 1 and the projector associated to the alternating representation of the symmetric group on $n$ letters define (for $n \gt 1$) the Chow motive corresponding to cusp forms of weight $n + 1$ for $\mathrm{SL}(2, \mathbb{Z})$. This provides an alternative (in level 1) to the construction of Scholl.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1115.14017
MathSciNet: MR2310253

Digital Object Identifier: 10.2969/aspm/04510297

Rights: Copyright © 2006 Mathematical Society of Japan

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