Rendiconti del Circolo Matematico di Palermo

, Volume 62, Issue 1, pp 111–125 | Cite as

Relations between some invariants of algebraic varieties in positive characteristic

  • Gerard van der  GeerEmail author
  • Toshiyuki Katsura


We discuss relations between certain invariants of varieties in positive characteristic, like the \(a\)-number and the height of the Artin-Mazur formal group. We calculate the \(a\)-number for Fermat surfaces.


a-number b-number Height Hodge filtration Conjugate filtration  Fermat surface 

Mathematics Subject Classification (1991)

14G 14G17 11G25 



The second author was supported in part by JSPS Grant-in-Aid (S), No 19104001.


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Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  1. 1.Korteweg-de Vries InstituutUniversiteit van AmsterdamAmsterdamThe Netherlands
  2. 2.Faculty of Science and EngineeringHosei UniversityTokyoJapan

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