The motivic nearby fiber and degeneration of stable rationality
By Johannes Nicaise, Evgeny Shinder. Inventiones Mathematicae, 2017
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We prove that stable rationality specializes in regular families whose fibers are integral and have at most ordinary double points as singularities. Our proof is based on motivic specialization techniques and the criterion of Larsen and Lunts for stable rationality in the Grothendieck ring of varieties.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ed762b98ee569090ff07d7c22f667a1ba24ea360
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- The integral Hodge conjecture for two-dimensional Calabi–Yau categories (2020, background): “This jibes with the fact that, despite many recent advances on the rationality problem [91, 18, 86, 34, 77, 78, 74, 49], irrationality results remain out of reach for such fourfolds.”