关于三次体的投射维数的界
Bound on the projective dimension of three cubics
摘要：
我们证明了，给定域上的任何多项式环R，以及R中由三个三次型生成的任何理想J，R/J的投射维数至多为36。通过构造一个投射维数等于5的理想，解决了由三个三次型生成的理想的投射维数是否大于4的问题。
英文摘要：
We show that given any polynomial ring R over a field, and any ideal J in R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the question whether ideals generated by three cubic forms can have projective dimension greater than 4, by constructing one with projective dimension equal to 5.
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。
