论文标题
新的理性立方四倍，由克雷莫纳转化产生
New rational cubic fourfolds arising from Cremona transformations
论文作者
论文摘要
傅里叶 - 穆凯等效的立方四倍在biration上等效吗？我们为这个问题提供了一个肯定的答案，该问题是非常普遍的四倍的判别20，在那里我们通过veronese表面定义的Cremona Transformation产生了异性图。通过研究这些地图如何对已知的合理的立方体作用，我们出人意料地发现了新的理性例子。
Are Fourier-Mukai equivalent cubic fourfolds birationally equivalent? We obtain an affirmative answer to this question for very general cubic fourfolds of discriminant 20, where we produce birational maps via the Cremona transformation defined by the Veronese surface. By studying how these maps act on the cubics known to be rational, we surprisingly found new rational examples.
