Syntomic topology

In algebraic geometry, the syntomic topology is a Grothendieck topology introduced by (Fontaine Messing). 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., 67, Providence, R.I.: American Mathematical Society, pp. 179–207, http://www.ams.org/publications/online-books/conm67-index 

External links

• Explanation of the word "syntomic" by Barry Mazur.
• Syntomic cohomology in nLab