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Forms Of Fermat Equations And Their Zeta Functions
Engelsk Hardback
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Forms Of Fermat Equations And Their Zeta Functions
Engelsk Hardback

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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
248
ISBN-13:
9789812560391
Indbinding:
Hardback
Udgave:
ISBN-10:
9812560394
Udg. Dato:
19 okt 2004
Længde:
20mm
Bredde:
230mm
Højde:
157mm
Forlag:
World Scientific Publishing Co Pte Ltd
Oplagsdato:
19 okt 2004
Forfatter(e):
Kategori sammenhænge