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arXiv · 1408.2648

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

Fabian Reede
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Abstract

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 these sheaves. We compute for example the arithmetic Chern classes and use the arithmetic Riemann-Roch theorem.

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Fabian Reede. 2014-08-12. Vector bundles and Arakelov geometry on the projective line over the integers. https://arxiv.org/abs/1408.2648

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