论文标题
动机量的完善和专业化类型
A refinement of the motivic volume, and specialization of birational types
论文作者
论文摘要
我们通过跟踪绿色品种环中的尺寸来构建动机量的升级。这产生了Kontsevich和Tschinkel引入的动机量及其偶然版本的统一改进，以证明异性含量的专业化。我们还提供了几个明确的例子，说明了这项技术引起的稳定理性的障碍。
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.
