Arithmetic of Critical $p$-Adic $L$-Functions

Denis Benois, Universite de Bordeaux, Talence, France, and Kazim Buyukboduk, University College Dublin, Ireland

Chapters Preface 1. Introduction 2. General constructions 3. Critical $p$-adic $L$-functions 4. Main Conjectures for the punctual eigencurve and the improved critical $p$-adic $L$-functions 5. Main Conjectures for the infinitesimal deformation 6. Thick Selmer groups and derivatives of critical $p$-adic $L$-functions