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arXiv · 1602.07491

Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo Surfaces

Christian Liedtke
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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.

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Christian Liedtke. 2016-02-24. Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo Surfaces. https://arxiv.org/abs/1602.07491

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