English

Fibration by non-smooth projective curves of arithmetic genus two in characteristic two

Algebraic Geometry 2016-05-04 v1

Abstract

Looking in positive characteristic for failures of the Bertini-Sard theorem, we determine, up to birational equivalence, the separable proper morphisms of smooth algebraic varieties in characteristic two, whose fibres are non-smooth curves of arithmetic genus two.

Keywords

Cite

@article{arxiv.1412.8734,
  title  = {Fibration by non-smooth projective curves of arithmetic genus two in characteristic two},
  author = {Alejandro Simarra Cañate and Karl-Otto Stöhr},
  journal= {arXiv preprint arXiv:1412.8734},
  year   = {2016}
}