A refinement of the motivic volume, and specialization of birational types
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Publication:2091260
DOI10.1007/978-3-030-75421-1_11zbMATH Open1497.14030arXiv2004.08161OpenAlexW3016700997MaRDI QIDQ2091260
Author name not available (Why is that?)
Publication date: 1 November 2022
Abstract: We construct an upgrade of the motivic volume by keeping track of dimensions in the Grothendieck ring of varieties. This produces a uniform refinement of the motivic volume and its birational version introduced by Kontsevich and Tschinkel to prove the specialization of birational types. We also provide several explicit examples of obstructions to stable rationality arising from this technique.
Full work available at URL: https://arxiv.org/abs/2004.08161
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