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Titlebook: Elliptic Curves; Dale Husem?ller Textbook 2004Latest edition Springer Science+Business Media New York 2004 Dimension.Grad.algebraic curve

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發(fā)表于 2025-3-21 18:17:24 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elliptic Curves
編輯Dale Husem?ller
視頻videohttp://file.papertrans.cn/308/307775/307775.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Elliptic Curves;  Dale Husem?ller Textbook 2004Latest edition Springer Science+Business Media New York 2004 Dimension.Grad.algebraic curve
描述There are three new appendices, one by Stefan Theisen on the role of Calabi– Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the far-reaching implications of the theory of elliptic curves in mathematical sciences. During the ?nal production of this edition, the ICM 2002 manuscript of Mike Hopkins became available. This report outlines the role of elliptic curves in ho- topy theory. Elliptic curves appear in the form of the Weierstasse equation and its related changes of variable. The equations and the changes of variable are coded in an algebraic structure called a Hopf algebroid, and this Hopf algebroid is related to a cohomology theory called topological modular forms. Hopkins and his coworkers have used this theory in several directions, one being the explanation of elements in stable homotopy up to degree 60. In the third appendix we explain how what we described in Chapter 3 leads to the Weierstrass Hopf algebroid making a link with Hopkins’ paper.
出版日期Textbook 2004Latest edition
關(guān)鍵詞Dimension; Grad; algebraic curve
版次2
doihttps://doi.org/10.1007/b97292
isbn_softcover978-1-4419-3025-5
isbn_ebook978-0-387-21577-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 2004
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:46:29 | 只看該作者
Elliptic Curves978-0-387-21577-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
板凳
發(fā)表于 2025-3-22 01:15:32 | 只看該作者
https://doi.org/10.1007/b97292Dimension; Grad; algebraic curve
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Graduate Texts in Mathematicshttp://image.papertrans.cn/e/image/307775.jpg
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Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields,
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-Function of an Elliptic Curve and Its Analytic Continuation,
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