دانلود کتاب Forms of Fermat Equations and Their Zeta Functions

Name: Forms of Fermat Equations and Their Zeta Functions
Availability: InStock
Author: Lars Brunjes
ISBN: 9812560394, 9789812560391, 9789812561800

by Lars Brunjes

عنوان فارسی: اشکال فرما معادلات و توابع زتا آنها
ناشر: World Scientific
سال: 2004
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 247-247
شابک: 9812560394, 9789812560391, 9789812561800
نوع فایل: DJVU دانلود نرم افزار مطالعه
حجم: 2.00 مگابایت

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جزییات کتاب

In this volume, an abstract theory of ‘forms’ is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of Fermat varieties. The main topic is the study of forms of the Fermat equation over an arbitrary field K. Using Galois descent, all such forms are classified; particularly, a complete and explicit classification of all cubic binary equations is given. If K is a finite field containing the d-th roots of unity, the Galois representation on l-adic cohomology (and so in particular the zeta function) of the hypersurface associated with an arbitrary form of the Fermat equation of degree d is computed.

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