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On the cusp form motives in genus 1 and level 1

C. Consani·C. Faber
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Abstract

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

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C. Consani, C. Faber. 2006-01-23. On the cusp form motives in genus 1 and level 1. https://arxiv.org/abs/math/0504418

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