Hermitian Azumaya modules and arithmetic Chern classes
Fabian Reede
TL;DR
This paper computes arithmetic Chern classes of sheaves on an arithmetic surface linked to Hermitian Azumaya algebras, advancing the understanding of their geometric and arithmetic properties.
Contribution
It introduces methods to calculate arithmetic Chern classes for sheaves associated with Hermitian Azumaya algebras on arithmetic surfaces.
Findings
Explicit formulas for arithmetic Chern classes
New insights into Hermitian Azumaya algebra structures
Enhanced tools for arithmetic geometry calculations
Abstract
We compute arithmetic Chern classes of sheaves on an arithmetic surface X associated to a Hermitian Azumaya algebra.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Advanced Algebra and Geometry