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Titlebook: Galois Theory and Modular Forms; Ki-ichiro Hashimoto,Katsuya Miyake,Hiroaki Nakamur Book 2004 Kluwer Academic Publishers 2004 Abelian vari

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书目名称Galois Theory and Modular Forms
编辑Ki-ichiro Hashimoto,Katsuya Miyake,Hiroaki Nakamur
视频video
丛书名称Developments in Mathematics
图书封面Titlebook: Galois Theory and Modular Forms;  Ki-ichiro Hashimoto,Katsuya Miyake,Hiroaki Nakamur Book 2004 Kluwer Academic Publishers 2004 Abelian vari
描述This volume is an outgrowth of the research project "The Inverse Ga­ lois Problem and its Application to Number Theory" which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for Scientific Research (B) (1) No. 11440013. In September, 2001, an international conference "Galois Theory and Modular Forms" was held at Tokyo Metropolitan University after some preparatory work­ shops and symposia in previous years. The title of this book came from that of the conference, and the authors were participants of those meet­ All of the articles here were critically refereed by experts. Some of ings. these articles give well prepared surveys on branches of research areas, and many articles aim to bear the latest research results accompanied with carefully written expository introductions. When we started our re~earch project, we picked up three areas to investigate under the key word "Galois groups"; namely, "generic poly­ nomials" to be applied to number theory, "Galois coverings of algebraic curves" to study new type of representations of absolute Galois groups, and explicitly described "Shimura varieties" to understand well the Ga­ lois structures
出版日期Book 2004
关键词Abelian variety; algebra; algebraic curve; Dimension; field; Galois group; Galois theory; manifold; modular
版次1
doihttps://doi.org/10.1007/978-1-4613-0249-0
isbn_softcover978-1-4613-7960-7
isbn_ebook978-1-4613-0249-0Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightKluwer Academic Publishers 2004
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Akademische Bildung und fachliches Wissen,imes .. We begin with some generalities; most of these can be found, for example, in the book of Farkas and Kra [F-K]. Suppose that . is a compact Riemann surface of genus . ≥2. If γ is a positive integer, then let .. (.) denote the space of holomorphic r-differentials on .. Each .. (.) is a finite-
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https://doi.org/10.1007/978-3-531-19544-5es over .. We discuss their minimality as .-curves, and the classification, as well as the Neben type characters of the associated modular forms. This can be described as the sign change phenomenon by guar-tic twists of curves over .. We also study their 2-fold covers by genus two curves. Among othe
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Akkreditierung als Mikropolitik8] more than 100 years ago. The first approach succeeded in the region of class field theory in the middle of the 20th century: Scholz and Reichardt solved the problem affirmatively for nilpotent groups [15] and Šafarevič extended their result to solvable groups [18]. In contrast, few Galois realiza
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Akkulturation von Auslandsakquisitionen groups. In Y. Kishi [Kil], we gave a precise Spiegelung relation by a constructive approach: every cubic polynomial which generates a cyclic cubic extension . of.unramified outside 3 over.with Gal(./ℚ) ≅ .. is constructed by making use of an element of the associated field.; here S3 is the symmetri
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E. Blanck,H. Niklas,Br. Tacke,F. Gieseckes the Hilbert class field of its genus field (in the wide sense). The motivation of this study is the author’s observation that under the Generalized Riemann Hypothesis (GRH), for most quadratic number fields of small conductors, their maximal unramified extensions coincide with the Hilbert class fi
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