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math.AG2016
Hermitian Azumaya modules and arithmetic Chern classes
Fabian Reede
We compute arithmetic Chern classes of sheaves on an arithmetic surface X associated to a Hermitian Azumaya algebra.
math.AG2016
Torsion-free rank one sheaves over del Pezzo orders
Norbert Hoffmann, Fabian Reede
Let A be a del Pezzo order on the projective plane over the field of complex numbers. We prove that every torsion-free A-module of rank one can be deformed into a locally free A-mo…