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Algebraic independence in the Grothendieck ring of varieties

2006
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Transactions of the American Mathematical Society
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We give sufficient cohomological criteria for the classes of given varieties over a field k to be algebraically independent in the Grothendieck ring of varieties over k and construct some examples. m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m K p−1 Q Observe that by construction gcd(n, N ) = 1 (N is a product of primes different from the prime n) and hence gcd(p n − 1, p N − 1) = p − 1 which implies as recalled

doi:10.1090/s0002-9947-06-03975-4
fatcat:hnzlh4hslrfftho2asbxuj6mua