Forms Of Fermat Equations And Their Zeta Functions pdf epub fb2

Forms Of Fermat Equations And Their Zeta Functions by - pdf epub fb2

Forms Of Fermat Equations And Their Zeta Functions Author: -
Title: Forms Of Fermat Equations And Their Zeta Functions
ISBN: 9812560394
ISBN13: 978-9812560391
Other Formats: mbr azw lit mobi
Pages: 248 pages
Publisher: World Scientific Pub Co Inc (October 18, 2004)
Language: English
Category: Science & Math
Size PDF version: 1642 kb
Size EPUB version: 1307 kb
Subcategory: Mathematics




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.