# flat cohomology in a sentence

- Flat morphisms are used to define ( more than one version of ) the flat topos, and
*flat cohomology* of sheaves from it. - It has been used to define other cohomology theories since then, such as l-adic cohomology,
*flat cohomology*, and crystalline cohomology. - Technically speaking it enabled the construction of the sought-after 閠ale cohomology ( as well as other refined theories such as
*flat cohomology* and crystalline cohomology ). - Isomorphism classes of twisted forms of a split torus are parametrized by nonabelian
*flat cohomology* H ^ 1 ( S, GL _ n ( \ mathbb { Z } ) ), where the coefficient group forms a constant sheaf. - It's difficult to find
*flat cohomology* in a sentence.