Tight Closure in Equal Characteristic

@inproceedings{Hochster2014TightCI,
  title={Tight Closure in Equal Characteristic},
  author={Melvin Hochster},
  year={2014}
}
  • Melvin Hochster
  • Published 2014
We rst discuss joint work of Craig Huneke and the author, giving an overview of the status of tight closure theory both in characteristic p and in equal characteristic 0, including recently discovered interconnections with the existence of big Cohen-Macaulay algebras, especially their existence in a weakly functorial sense. For example, either tight closure or the functorial existence of big Cohen-Macaulay algebras can be used to prove that direct summands of regular rings are Cohen-Macaulay in… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 25 references

Localization of tight closure and modules of nite phantom projective dimension

  • I. AHH Aberbach, M. Hochster, C. Huneke
  • J. Reine Angew. Math. (Crelle's Journal)
  • 1993

Thesis

  • K. E. Smith, Tight closure of parameter ideals, F-rationality
  • University of Michigan,
  • 1993

smooth base change

  • J. Velez, Openness of the F-rational locus
  • and Koh's conjecture, Thesis, University of…
  • 1993
1 Excerpt

Joint reductions, tight closure, and the Brian con-Skoda theorem

  • I. Swanson
  • J. of Algebra
  • 1992

Uniform stability of kernels of Koszul cohomology indexed by the Frobenius endomorphism, Thesis, University of Michigan, 1992; and preprint

  • L. Williams
  • Department of Mathematics,
  • 1992

determinantal rings

  • D. J. Glassbrenner, Invariant rings of group actions
  • and tight closure, Thesis, University of Michigan…
  • 1992
1 Excerpt

A characterization of F -regularity in terms of F -purity

  • R. FeW Fedder, K. Watanabe
  • Commutative Algebra, Math. Sci. Research Inst…
  • 1989

An algebraist commuting in Berkeley

  • C. Huneke
  • Mathematical Intelligencer
  • 1989

Rotthaus, A structure theorem for power series rings, in Algebraic Geometry and Commutative Algebra: in honor of Masayoshi

  • M. ArR Artin
  • 1988

Splitting in integral extensions, Cohen-Macaulay modules and algebras

  • F. Ma
  • J. of Algebra
  • 1988

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