Severi-Brauer varieties; a geometric treatment

2016/06/14 by Janós Kollár, Kollár, János · 3 citations
Mathematics · #14F22 Secondary: 16K50 #14G05 #14M15 #14M20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1606.04368

openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These notes present a geometric treatment of Severi-Brauer varieties, without using any results from the theory of central simple algebras or from Galois cohomology. 2026 version: major revisions

Citations

• Esnault-Levine-Wittenberg indices

Cited by

• Moduli of vector bundles on μ_n-gerbes over genus 2 curves and the period-index problem
• Universal Brauer-Severi varieties
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