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Forms Of Fermat Equations And Their Zeta Functions

Af: Lars Brunjes Engelsk Hardback

Forms Of Fermat Equations And Their Zeta Functions

Af: Lars Brunjes Engelsk Hardback
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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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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.
Produktdetaljer
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): Lars Brunjes
Forfatter(e) Lars Brunjes


Kategori Grupper og gruppeteori


ISBN-13 9789812560391


Sprog Engelsk


Indbinding Hardback


Sider 248


Udgave


Længde 20mm


Bredde 230mm


Højde 157mm


Udg. Dato 19 okt 2004


Oplagsdato 19 okt 2004


Forlag World Scientific Publishing Co Pte Ltd

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