Stable rationality and conic bundles
By Brendan Hassett, Andrew Kresch, Yuri Tschinkel. 2015
67 citations recorded by the source corpus.
We study stable rationality properties of conic bundles over rational surfaces.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7a469b9129db04857956bcdf48df6ca272be5e1e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Yuri Tschinkel
- Brendan Hassett
- Johannes Nicaise
- Evgeny Shinder
- Alena Pirutka
- M. Temkin
- Giovanni Mongardi
- Franccois Charles
In Mathematical Physics
- Brendan Hassett
- Yuri Tschinkel
- Evgeny Shinder
- Johannes Nicaise
- Alena Pirutka
- M. Temkin
- Giovanni Mongardi
- Brian Lehmann
Citations in the corpus
- Stable rationality of quadric surface bundles over surfaces (2016, background): “gous degenerate conic bundles over P2 are the Artin-Mumford examples; deforming these allows one to show that very general conic bundles of P2 with large degeneracy divisor fail to be stably rational [HKT15]. Second, quadric surface bundles are rational over the base whenever they admit a section, i”
- The motivic nearby fiber and degeneration of stable rationality (2017, background): “The latter specialization result has been used to solve some long-standing questions about stable irrationality of certain very general cyclic coverings, high degree hypersurfaces in projective spaces and conic bundles [5,10,15,37,40].”