A generalization of Roberts' counterexample to the fourteenth problem of Hilbert

Kuroda, Shigeru

Kuroda, Shigeru

Tohoku Math. J. (2), Tome 56 (2004) no. 1, p. 501-522 / Harvested from Project Euclid

Résumé

We generalize Roberts' counterexample to the fourteenth problem of Hilbert, and give a sufficient condition for certain invariant rings not to be finitely generated. It shows that there exist a lot of counterexamples of this type. We also determine the initial algebra of Roberts' counterexample for some monomial order

Publié le : 2004-12-14
Classification: 13A50, 13N15, 14R20

@article{1113246747,
     author = {Kuroda, Shigeru},
     title = {A generalization of Roberts' counterexample to the fourteenth problem of Hilbert},
     journal = {Tohoku Math. J. (2)},
     volume = {56},
     number = {1},
     year = {2004},
     pages = { 501-522},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246747}
}

Kuroda, Shigeru. A generalization of Roberts' counterexample to the fourteenth problem of Hilbert. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp.  501-522. http://gdmltest.u-ga.fr/item/1113246747/