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math.AG2001
Hilbert's Theorem 90 and algebraic spaces
Stefan Schroeer
In modern form, Hilbert's Theorem 90 tells us that R^1f_*(G_m)=0, where f is the canonical map between the etale site and the Zariski site of a scheme X. I construct examples showi…
math.AG2001
The bigger Brauer group is really big
Stefan Schroeer
I show that each etale n-cohomology class on noetherian schemes comes from a Cech cocycle, provided that any n-tuple of points admits an affine open neighborhood. Together with res…
math.AG2001
Effective descent maps for schemes
Stefan Schroeer
The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.