Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo Surfaces
Algebraic Geometry
2017-02-10 v2
Abstract
We classify morphisms from proper varieties to Brauer-Severi varieties, which generalizes the classical correspondence between morphisms to projective space and globally generated invertible sheaves. As an application, we study del Pezzo surfaces of large degree with a view towards Brauer-Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.
Keywords
Cite
@article{arxiv.1602.07491,
title = {Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo Surfaces},
author = {Christian Liedtke},
journal= {arXiv preprint arXiv:1602.07491},
year = {2017}
}
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38 pages