P-adic L-functions and Euler systems: A tale in two trilogies

Massimo Bertolini ,Francesc Castella ,Henri Darmon ,Samit Dasgupta ,Kartik Prasanna ,Víctor Rotger

doi:10.1007/9781107446335.004

P-adic L-functions and Euler systems: A tale in two trilogies

Massimo Bertolini , Francesc Castella + Show 4 more

https://doi.org/10.1007/9781107446335.004

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Publication Date: May 10, 2016

Citations: 8

Affiliation: University of Milan, University of California, Los Angeles, McGill University, University of California, Santa Cruz, Universitat Politècnica de Catalunya

#Euler Systems #P-adic L-functions + Show 5 more

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Abstract

Author(s): Bertolini, M; Castella, F; Darmon, H; Dasgupta, S; Prasanna, K; Rotger, V | Abstract: This chapter surveys six different special value formulae for p-adic L-functions, stressing their common features and their eventual arithmetic applications via Kolyvagin’s theory of “Euler systems”, in the spirit of Coates-Wiles and Kato-Perrin-Riou.

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