On the classification of simple singularities in positive characteristic. The aim of the article is to describe the classification of simple isolated hypersurface singularities over a field of positive characteristic by certain invariants without computing the normal form. We also give a description of the algorithms to compute the classification which we have implemented in the Singular libraries classifyCeq.lib and classifyReq.lib.

References in zbMATH (referenced in 24 articles , 1 standard article )

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  1. Burban, Igor; Gnedin, Wassilij: Cohen-Macaulay modules over some non-reduced curve singularities (2016)
  2. Greuel, Gert-Martin; Hong Duc Nguyen: Right simple singularities in positive characteristic (2016)
  3. Białkowski, Jerzy; Erdmann, Karin; Skowroński, Andrzej: Periodicity of self-injective algebras of polynomial growth (2015)
  4. Ito, Hiroyuki; Schröer, Stefan: Wild quotient surface singularities whose dual graphs are not star-shaped (2015)
  5. Afzal, Deeba; Binyamin, Muhammad Ahsan; Janjua, Faira Kanwal: On the classification of simple singularities in positive characteristic (2014)
  6. Tyomkin, Ilya: On Zariski’s theorem in positive characteristic (2013)
  7. Araya, Tokuji; Iima, Kei-ichiro; Takahashi, Ryo: On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type (2012)
  8. Białkowski, Jerzy; Erdmann, Karin; Skowroński, Andrzej: Deformed mesh algebras of Dynkin type $\mathbb C_n$. (2012)
  9. Boubakri, Yousra; Greuel, Gert-Martin; Markwig, Thomas: Invariants of hypersurface singularities in positive characteristic (2012)
  10. Dugas, Alex: Periodicity of $d$-cluster-tilted algebras. (2012)
  11. Białkowski, Jerzy; Erdmann, Karin; Skowroński, Andrzej: Deformed preprojective algebras of generalized Dynkin type $\Bbb L_n$: classification and symmetricity. (2011)
  12. Toda, Yukinobu; Yasuda, Takehiko: Noncommutative resolution, F-blowups and $D$-modules (2009)
  13. Yasuda, Takehiko: On monotonicity of F-blowup sequences (2009)
  14. Duc Tai Pho; Shimada, Ichiro: Unirationality of certain supersingular $K3$ surfaces in characteristic 5 (2006)
  15. Shimada, Ichiro: Singularities of dual varieties in characteristic 3 (2006)
  16. Leuschke, Graham J.; Wiegand, Roger: Hypersurfaces of bounded Cohen-Macaulay type (2005)
  17. Leuschke, Graham J.: Mixed characteristic hypersurfaces of finite Cohen-Macaulay type. (2002)
  18. Greuel, Gert-Martin: Computer algebra and algebraic geometry -- achievements and perspectives (2000)
  19. Leuschke, Graham; Wiegand, Roger: Ascent of finite Cohen-Macaulay type (2000)
  20. Wiegand, Roger: Local rings of finite Cohen-Macaulay type (1998)

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