A new proof of Raynaud-Gruson's flattening theorem
Algebraic Geometry
2019-05-30 v3
Abstract
We give a new proof of Raynaud-Gruson's theorem regarding flattening by blow-ups. The proof is direct, by working directly on the inverse limit of admissible blow-ups, which is a valuative space similar to the classical Zariski-Riemann space. These valuative spaces are defined in a broader context and always have an analogous flattening property: this yields a generalization of Raynaud-Gruson's theorem.
Cite
@article{arxiv.1801.01188,
title = {A new proof of Raynaud-Gruson's flattening theorem},
author = {Quentin Guignard},
journal= {arXiv preprint arXiv:1801.01188},
year = {2019}
}