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20142016
most citedA Deligne pairing for Hermitian Azumaya modules

1 citations · 1 across the 3 of their papers we have counts for

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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.AG2015★ 1 cited

A Deligne pairing for Hermitian Azumaya modules

Fabian Reede

In this short note we want to give a definition of a generalized Deligne pairing for modules over an Azumaya algebra on an arithmetic surface . We do this by defining Hermitian…

math.AG2014

Vector bundles and Arakelov geometry on the projective line over the integers

Fabian Reede

We study locally free sheaves of rank two on the projective line over the integers, especially indecomposable ones. Subsequently we apply various concepts of Arakelov geometry to t…