Syntomic topology

In algebraic geometry, the syntomic topology is a Grothendieck topology introduced by Fontaine & Messing (1987).

Mazur defined a morphism to be syntomic if it is flat and locally a complete intersection. The syntomic topology is generated by surjective syntomic morphisms of affine schemes.

References

  • Fontaine, Jean-Marc; Messing, William (1987), "p-adic periods and p-adic étale cohomology", Current trends in arithmetical algebraic geometry (Arcata, Calif., 1985), Contemp. Math., vol. 67, Providence, R.I.: American Mathematical Society, pp. 179–207, MR 0902593