三种一般二元形式的Rees代数的深度
The depth of the Rees algebra of three general binary forms
摘要：
证明了由三个同次一般二元形式生成的理想的Rees代数$\geq 5$具有深度1。证明取决于Ratliff-Rush过滤对理想的低次幂的行为，以及建立某些条目是二次型的大矩阵具有最大秩。文中还给出了一个较短的结果，它包含了本文的主要定理。
英文摘要：
One proves that the Rees algebra of an ideal generated by three general binary forms of same degree $\geq 5$ has depth one. The proof hinges on the behavior of the Ratliff-Rush filtration for low powers of the ideal and on establishing that certain large matrices whose entries are quadratic forms have maximal rank. One also conjectures a shorter result that implies the main theorem of the paper.
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。
