曲率有界的非交换簇
Non-commutative varieties with curvature having bounded signature
摘要：
自由（非交换）多项式的零点集V的曲率的签名（s）被定义为由p确定的V上的非交换第二基本型的正特征值和负特征值的数目。特别地，如果其中一个签名为零，则p的次数至多为2。
英文摘要：
The signature(s) of the curvature of the zero set V of a free (non-commutative) polynomial is defined as the number of positive and negative eigenvalues of the non-commutative second fundamental form on V determined by p. With some natural hypotheses, the degree of p is bounded in terms of the signature. In particular, if one of the signatures is zero, then the degree of p is at most two.
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。
