二次RDP Del Pezzo曲面的单合理性
Unirationality of RDP Del Pezzo surfaces of degree 2
摘要：
本文研究了给定域（非代数闭域）上二次Del Pezzo曲面的单有理性，假设它在基域的代数闭包上至少存在一个有理二重点.作为我们主要结果的推论，我们发现在有限域上，如果域的基数大于或等于9，则它是单有理的;我们还发现在不一定是完美的无限域上，它是单有理的当且仅当域上的有理点是Zebraki稠密的。
英文摘要：
We study unirationality of a Del Pezzo surface of degree two over a given (non algebraically closed) field, under the assumption that it admits at least one rational double point over an algebraic closure of the base field. As corollaries of our main results, we find that over a finite field, it is unirational if the cardinality of the field is greater than or equal to nine and we also find that over an infinite field, which is not necessarily perfect, it is unirational if and only if the rational points are Zariski dense over the field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
