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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9, author = {Gene Freudenburg}, title = {Recent progress on Hilbert's Fourteenth Problem via triangular derivations}, journal = {Annales Polonici Mathematici}, volume = {77}, year = {2001}, pages = {95-99}, zbl = {0985.13011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9} }
Gene Freudenburg. Recent progress on Hilbert's Fourteenth Problem via triangular derivations. Annales Polonici Mathematici, Tome 77 (2001) pp. 95-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9/