Algebraic independence in the Grothendieck ring of varieties

N. Naumann
2006 Transactions of the American Mathematical Society  
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