Veroneseans，幂子空间和独立性
Veroneseans, power subspaces and independence
摘要：
证明了Veronese映射v_d常常增加点集和子空间集的独立性。例如，任意d+1个维若内点都是独立的。类似地，多项式代数的线性型空间上的d次幂映射也经常增加点集和子空间集的独立性。这些想法产生d+1-独立家庭的子空间在一个自然的方式。
英文摘要：
Results are proved indicating that the Veronese map v_d often increases independence of both sets of points and sets of subspaces. For example, any d+1 Veronesean points of degree d are independent. Similarly, the dth power map on the space of linear forms of a polynomial algebra also often increases independence of both sets of points and sets of subspaces. These ideas produce d+1-independent families of subspaces in a natural manner.
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。
