Corpus ID: 209202502

On the canonical, fpqc, and finite topologies on affine schemes. The state of the art

@inproceedings{Andre2019OnTC,
  title={On the canonical, fpqc, and finite topologies on affine schemes. The state of the art},
  author={Yves Andre and Luisa Fiorot},
  year={2019}
}
  • Yves Andre, Luisa Fiorot
  • Published 2019
  • Mathematics
  • This is a systematic study of the behaviour of finite coverings of (affine) schemes with regard to two Grothendieck topologies: the canonical topology and the fpqc topology. The history of the problem takes roots in the foundations of Grothendieck topologies, passes through main strides in Commutative Algebra and leads to new Mathematics up to perfectoids and prisms. We first review the canonical topology of affine schemes and show, keeping with Olivier's lost work, that it coincides with the… CONTINUE READING

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