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

Fabian Reede

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

Algebraic Geometry 2014-08-13 v1

Authors: Fabian Reede

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.

Keywords

vector bundles arakelov geometry projective line over integers locally free sheaves indecomposable sheaves arithmetic chern classes arithmetic riemann-roch theorem

Cite

@article{arxiv.1408.2648,
  title  = {Vector bundles and Arakelov geometry on the projective line over the integers},
  author = {Fabian Reede},
  journal= {arXiv preprint arXiv:1408.2648},
  year   = {2014}
}

Comments

17 pages

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