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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.
Gene Freudenburg. "Recent progress on Hilbert's Fourteenth Problem via triangular derivations." Annales Polonici Mathematici 76.1-2 (2001): 95-99. <http://eudml.org/doc/281111>.
@article{GeneFreudenburg2001, abstract = {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.}, author = {Gene Freudenburg}, journal = {Annales Polonici Mathematici}, keywords = {Hilbert's fourteenth problem; derivations}, language = {eng}, number = {1-2}, pages = {95-99}, title = {Recent progress on Hilbert's Fourteenth Problem via triangular derivations}, url = {http://eudml.org/doc/281111}, volume = {76}, year = {2001}, }
TY - JOUR AU - Gene Freudenburg TI - Recent progress on Hilbert's Fourteenth Problem via triangular derivations JO - Annales Polonici Mathematici PY - 2001 VL - 76 IS - 1-2 SP - 95 EP - 99 AB - 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. LA - eng KW - Hilbert's fourteenth problem; derivations UR - http://eudml.org/doc/281111 ER -