Stable rationality of Brauer–Severi surface bundles

Stable rationality of Brauer–Severi surface bundles

For sufficiently ample linear systems on rational surfaces we show that a very general associated Brauer–Severi surface bundle is not stably rational.

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Veröffentlicht in:Manuscripta mathematica 2020, Vol.161 (1-2), p.1-14
Hauptverfasser: Kresch, Andrew, Tschinkel, Yuri
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Linear systems
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Beschreibung
Zusammenfassung:For sufficiently ample linear systems on rational surfaces we show that a very general associated Brauer–Severi surface bundle is not stably rational.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-018-1087-z