Recent progress on Hilbert's Fourteenth Problem via triangular derivations
Annales Polonici Mathematici 76 (2001), 95-99 MSC: Primary 14R20; Secondary 13A50. DOI: 10.4064/ap76-1-9
We give an overview of recent results concerning kernels of triangular derivations of polynomial rings. In particular, we examine the question of finite generation in dimensions 4, 5, 6, and 7.