By Haruzo Hida
This e-book incorporates a distinctive account of the results of the author's contemporary Annals paper and JAMS paper on mathematics invariant, together with μ-invariant, L-invariant, and related topics. This booklet could be considered as an introductory textual content to the author's past ebook p-Adic Automorphic varieties on Shimura Varieties. Written as a down-to-earth creation to Shimura kinds, this article comprises many examples and purposes of the speculation that supply motivation for the reader. because it is proscribed to modular curves and the corresponding Shimura kinds, this e-book is not just an excellent source for specialists within the box, however it can be obtainable to complicated graduate scholars learning quantity theory. Key subject matters contain non-triviality of mathematics invariants and specific values of L-functions; elliptic curves over complicated and p-adic fields; Hecke algebras; scheme concept; elliptic and modular curves over jewelry; and Shimura curves.
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