{"product_id":"abelian-varieties-with-complex-multiplication-and-modular-functions-9780691016566","title":"Abelian Varieties with Complex Multiplication and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eReciprocity laws of various kinds play a central role in number theory. This book states several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. It also covers the zeta function of an abelian variety as a main theme.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"[This book] is a beautifully written, self-contained and complete treatment of a subject of which G. Shimura is a founding master, and is a fundamental reference for any researcher or student of the antimetric theory of abelian varieties and modular functions, and in particular of its applications to class field theory.\"--Bulletin of the London Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface  Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)  Notation and Terminology  Ch. I. Preliminaries on Abelian Varieties  Ch. II. Abelian Varieties with Complex Multiplication  Ch. III. Reduction of Constant Fields  Ch. IV. Construction of Class Fields  Ch. V. The Zeta Function of an Abelian Variety with Complex Multiplication  Ch. VI. Families of Abelian Varieties and Modular Functions  Ch. VII. Theta Functions and Periods on Abelian Varieties  Bibliography  Supplementary References  Index","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49917778526551,"sku":"9780691016566","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691016566.jpg?v=1738449161","url":"https:\/\/bookcurl.com\/products\/abelian-varieties-with-complex-multiplication-and-modular-functions-9780691016566","provider":"Book Curl","version":"1.0","type":"link"}