87
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Diagonal F-thresholds and F-pure Thresholds of Hibi Rings

&
Pages 2830-2851 | Received 04 Jul 2012, Published online: 04 Jun 2015

REFERENCES

  • Birkhoff , G. ( 1967 ). Lattice Theory. , 3rd. ed. , Amer. Math. Soc. Colloq. Publ , Vol. 25 . R. I. : Amer. Math. Soc. Providence .
  • Bruns , W. , Herzog , J. ( 1992 ). On the computation of a-invariants . Manuscripta Math. 77 : 201 – 213 .
  • Blickle , M. ( 2004 ). Multiplier ideals and modules on toric varieties . Math. Z. 248 : 113 – 121 .
  • Goto , S. , Watanabe , K.-I. ( 1978 ). On graded rings, I . J. Math. Soc. Japan 30 ( 2 ): 179 – 213 .
  • Hernández , D. ( 2014 ). F-pure thresholds of binomial hypersurfaces . Proc. Amer. Math. Soc. 142 : 2227 – 2242 .
  • Herzog , J. , Hibi , T. , Restuccia , G. ( 2000 ). Strongly Koszul algebras . Math. Scand. 86 : 161 – 178 .
  • Hibi , T. ( 1987 ). Distributive lattices, affine semigroup rings and algebras with straightening laws . In: Nagata , M. , Matsumura , H. , eds., Commutative Algebra and Combinatorics . Adv. Stud. Pure Math. Vol. 11 . Amsterdam : North Holland , pp. 93 – 109 .
  • Hirose , D. ( 2009 ). Formulas of F-thresholds and F-jumping coefficients on toric rings . Kodai Math. J. 32 : 238 – 255 .
  • Huneke , C. , Mustaţă , M. , Takagi , S. , Watanabe , K.-I. ( 2008 ). F-thresholds, tight closure, integral closure, and multiplicity bounds . Michigan Math. J. 57 : 461 – 480 .
  • Hara , N. , Yoshida , K. ( 2003 ). A generalization of tight closure and multiplier ideals . Trans. Amer. Math. Soc. 355 : 3143 – 3174 .
  • Hirose , D. , Watanabe , K.-I. , Yoshida , K. ( 2014 ). F-thresholds versus a-invariants for standard graded toric rings . Comm. Algebra 42 : 2704 – 2720 .
  • Matsuda , K. , Ohtani , M. , Yoshida , K. ( 2010 ). Diagonal F-thresholds on binomial hypersurfaces . Comm. Algebra 38 : 2992 – 3013 .
  • Mustaţă , M. , Takagi , S. , Watanabe , K.-I. ( 2005 ). F-thresholds and Bernstein-Sato polynomials . European Congress of Mathematics 341 – 364 . Eur. Math. Soc., Zürich .
  • Stanley , R. ( 1986 ). Two Poset Polytopes . Discrete Comput. Geom. 1 : 9 – 23 .
  • Shibuta , T. , Takagi , S. ( 2009 ). Log canonical thresholds of binomial ideals . Manuscripta Math. 130 : 45 – 61 .
  • Takagi , S. , Watanabe , K.-I. ( 2004 ). On F-pure thresholds . J. Algebra 282 : 278 – 297 .
  • Communicated by I. Swanson.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.