Failure of F-purity and F-regularity in certain rings of invariants

Illinois Journal of Mathematics

Volumn 42, Issue 3, 1998, Pages 441-448

  Singh, Anurag K ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032172428     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1256044934     Document Type: Article

References (10)

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6. D. Glassbrenner, Invariant rings of group actions, determinantal rings, and tight closure, Thesis. Univ. of Michigan, 1992.
7. _, The Cohen-Macaulay property and F-rationality in certain rings of invariants, J. Algebra 176 (1995), 824-860.
8. M. Hochster and C. Huneke, Tight closure, invariant theory, and the Briançon-Skoda theorem, J. Amer. Math. Soc. 3 (1990), 31-116.
9. _, F-regularity, test elements, and smooth base change, Trans. Amer. Math. Soc., Vol. 346, 1994, 1-62.
10. _, Tight closure of parameter ideals and ,splitting in module-finite extensions, J. Algebraic Geom. 3 (1994), 599-670.