Corpus ID: 221516405

On the BMY-inequality on surfaces

  title={On the BMY-inequality on surfaces},
  author={Sadik Terzi},
  journal={arXiv: Algebraic Geometry},
  • Sadik Terzi
  • Published 2020
  • Mathematics
  • arXiv: Algebraic Geometry
  • In this paper, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY-inequality in positive characteristic. We consider semistable fibrations $\pi:S \longrightarrow C$ where $S$ is a smooth projective surface and $C$ is a smooth projective curve. Using the exact sequence relating the locally exact differential forms on $S$, $C$, and $S/C$ (Section 3), we prove in Section 4 an inequality relating $c_1^2$ and $c_2$ for ordinary surfaces… CONTINUE READING


    Surfaces violating Bogomolov-Miyaoka-Yau in positive characteristic
    • 15
    • PDF
    Algebraic Geometry
    • 4,116
    A letter to Don Zagier
    • Progress in Math., 89
    • 1991
    Algebraic geometry Springer-Verlag
    • 1,012
    Generically ordinary fibrations and a counterexample to Parshin's conjecture
    • 6
    Moduli of Curves and Abelian Varieties
    • 50
    Pinceaux de variétés abéliennes
    • 146