On the cusp form motives in genus 1 and level 1

Details On the cusp form motives in genus 1 and level 1 On the cusp form motives in genus 1 and level 1

2005-04-20

arxiv.org/abs/math/0504418v2

Mathematics

Algebraic Geometry

18 pages. To appear in Moduli Spaces and Arithmetic Geometry, Advanced Studies in Pure Mathematics, 2006

Scientific paper

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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