A computation of tight closure in diagonal hypersurfaces
Commutative Algebra
2007-05-23 v1
Abstract
In the ring R=K[X,Y,Z]/(X^3+Y^3+Z^3), where K is a field of prime characteristic p other than 3, determining the tight closure of the ideal (X^2, Y^2, Z^2)R had existed as a classic example of the difficulty involved in tight closure computations. We settle this question, compute the Frobenius closure of this ideal, and generalize these results to the diagonal hypersurfaces K[X_1,...,X_n]/(X_1^n + ... + X_n^n).
Keywords
Cite
@article{arxiv.math/0209239,
title = {A computation of tight closure in diagonal hypersurfaces},
author = {Anurag K. Singh},
journal= {arXiv preprint arXiv:math/0209239},
year = {2007}
}