Elliptic Curves and Arithmetic Invariants

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including -invariant, L-invariant, and similar topics.   This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms...

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Bibliografiske detaljer
Hovedforfatter: Hida, Haruzo, 1952-...., mathématicien
Format: Livre numérique
Sprog:Anglais
Udgivet: New York, NY : Springer New York [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2013.
Serier:Springer Monographs in Mathematics
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Elliptic curves and arithmetic invariants, Haruzo Hida, New York, Springer, 2013, 1 vol. (XVIII-449 p.), Springer monographs in mathematics, 978-1-461-46656-7
• Elliptic curves and arithmetic invariants, Haruzo Hida, New York, Springer, 2013, 1 vol. (XVIII-449 p.), Springer monographs in mathematics, 978-1-461-46656-7
• Elliptic Curves and Arithmetic Invariants, Texte imprimé, 9781461466581
• Elliptic Curves and Arithmetic Invariants, Texte imprimé, 9781489990921
Indholdsfortegnelse:
  • 1 Non-triviality of Arithmetic Invariants 2 Elliptic Curves and Modular Forms 3 Invariants, Shimura Variety and Hecke Algebra 4 Review of Scheme Theory 5 Geometry of Variety 6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L values.- 9 p-Adic Hecke L-functions and their -invariants.- 10 Toric Subschemes in a Split Formal Torus 11 Hecke Stable Subvariety is a Shimura Subvariety References Symbol Index Statement Index Subject Index