论文标题
重新审视椭圆表面的无限摩尔利
Infinitesimal Torelli for elliptic surfaces revisited
论文作者
论文摘要
在本文中,我们为无穷小的Torelli定理提供了新的证明,用于最小椭圆表面,而没有多个纤维,而欧拉数至少为24个,至少为24个非稳定$ j $ invariant。在恒定$ j $ invariant的情况下,我们在欧拉号的情况下至少找到了一个新的证据。我们还讨论了几个新的反例。
In this article we give a new proof for the infinitesimal Torelli theorem for minimal elliptic surfaces without multiple fibers with Euler number at least 24 for nonconstant $j$-invariant. In the case of constant $j$-invariant we find a new proof in the case of Euler number at least 72. We also discuss several new counterexamples.