Geodesic
Euler systems for Rankin–Selberg convolutions of modular forms
Antonio Lei1 ; David Loeffler2 ; Sarah Livia Zerbes3
1 McGill University, Montreal, QC, Canada
2 Mathematics Institute, University of Warwick, Coventry, UK
3 University College London, London, UK
Annals of mathematics, Tome 180 (2014) no. 2, pp. 653-771

Voir la notice de l'article provenant de la source Annals of Mathematics website

We construct a Euler system in the cohomology of the tensor product of the Galois representations attached to two modular forms, using elements in the higher Chow groups of products of modular curves. We use these elements to prove a finiteness theorem for the strict Selmer group of the Galois representation when the associated $p$-adic Rankin–Selberg $L$-function is nonvanishing at $s = 1$.

DOI : 10.4007/annals.2014.180.2.6

Antonio Lei 1 ; David Loeffler 2 ; Sarah Livia Zerbes 3

1 McGill University, Montreal, QC, Canada
2 Mathematics Institute, University of Warwick, Coventry, UK
3 University College London, London, UK 
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Antonio Lei; David Loeffler; Sarah Livia Zerbes. Euler systems for Rankin–Selberg convolutions of modular forms. Annals of mathematics, Tome 180 (2014) no. 2, pp. 653-771. doi: 10.4007/annals.2014.180.2.6

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