论文标题
确定四分之一的表面具有明确的遗传学代表
Determinantal quartic surfaces with a definite Hermitian representation
论文作者
论文摘要
我们对三个空间的确定性四分之一表面的孤立,基本奇异性的数量进行了限制。我们还提供了具有确定的Hermitian决定性表示的四分之一表面上真实奇点的不同配置的示例,并猜想了Degtyarev和Itenberg对定理的扩展。
We give a bound on the number of isolated, essential singularities of determinantal quartic surfaces in 3-space. We also provide examples of different configurations of real singularities on quartic surfaces with a definite Hermitian determinantal representation, and conjecture an extension of a theorem by Degtyarev and Itenberg.