2 papers
math.AC2024
Module schemes in invariant theory
Holger Brenner
Let G be a finite group acting linearly on the polynomial ring with invariant ring R. If the action is small, then a classical result of Auslander gives in dimension two a correspo…
math.AC2004
On the arithmetic of tight closure
Holger Brenner, Mordechai Katzman
We provide a negative answer to an old question in tight closure theory by showing that the containment x^3y^3 \in (x^4,y^4,z^4)^* in K[x,y,z]/(x^7+y^7-z^7) holds for infinitely ma…