论文标题
二维准经济群体行动的理性问题
Rationality problem of two-dimensional quasi-monomial group actions
论文作者
论文摘要
Hoshi，Kang和Kitayama [HKK]完全解决了二维纯粹的准经济行为的理性问题。作为概括，我们解决了在基本场中定义的动作的条件下，二维准经济动作的合理性问题。为了证明定理，我们简要审查了Severi-Brauer品种，并提供了一些示例和合理性结果。我们还对非关闭字段上的$ \ mathbb {p}^1 $的圆锥捆绑包进行了理性标准。
The rationality problem of two-dimensional purely quasi-monomial actions was solved completely by Hoshi, Kang and Kitayama [HKK]. As a generalization, we solve the rationality problem of two-dimensional quasi-monomial actions under the condition that the actions are defined within the base field. In order to prove the theorem, we give a brief review of the Severi-Brauer variety with some examples and rationality results. We also use a rationality criterion for conic bundles of $\mathbb{P}^1$ over non-closed fields.
