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