PlanetMath: Weil conjectures

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Weil conjectures

(Conjecture)

Conjectures made by Weil on the form of the zeta function of a variety over a finite field. Specifically he thought it should be rational, it should split into polynomial parts with integral coefficients, with roots of a certain magnitude, and of degree = Betti number. Further there should be a functional equation.

(Flesh this out ;))

"Weil conjectures" is owned by nerdy2. [ full author list (2) ]

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Cross-references: functional equation, Betti number, degree, roots, coefficients, integral, polynomial, rational, finite field, variety, zeta function, conjectures
There are 7 references to this entry.

This is version 3 of Weil conjectures, born on 2006-03-03, modified 2008-06-09.
Object id is 7670, canonical name is WeilConjectures.
Accessed 2365 times total.

Classification:

AMS MSC:	14G05 (Algebraic geometry :: Arithmetic problems. Diophantine geometry :: Rational points)
	14G10 (Algebraic geometry :: Arithmetic problems. Diophantine geometry :: Zeta-functions and related questions )
	14G15 (Algebraic geometry :: Arithmetic problems. Diophantine geometry :: Finite ground fields)

Pending Errata and Addenda

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