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Showing 2004 · math.ACShow all
3 papers · 2 filters
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…
math.AC2004
Characteristic-independence of Betti numbers of graph ideals
Mordechai Katzman
In this paper we study the Betti numbers of Stanley-Reisner ideals generated in degree 2. We show that the first six Betti numbers do not depend on the characteristic of the ground…
math.AC2004★ 4 cited
The rationality of the Hilbert-Kunz multiplicity in graded dimension two
Holger Brenner
We show that the Hilbert-Kunz multiplicity is a rational number for an R_+-primary homogeneous ideal I=(f_1, ..., f_n) in a two-dimensional graded domain R of finite type over an a…