Functorial desingularization over Q: boundaries and the embedded case
By M. Temkin. 2009
57 citations recorded by the source corpus.
Our main result establishes functorial desingularization of noetherian quasi-excellent schemes over Q with ordered boundaries. A functorial embedded desingularization of quasi-excellent schemes of characteristic zero is deduced. Furthermore, a standard simple argument extends these results to other categories including, in particular, (equivariant) embedded desingularization of the following objects of characteristic zero: qe algebraic stacks, qe formal schemes, complex and non-archimedean analytic spaces. We also obtain a semistable reduction theorem for formal schemes.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/83bfd4aacd7a8670f83982888fa265900e57beda
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In Geometry and Topology
- Kiran S. Kedlaya
- Ruochuan Liu
- Jonathan Pottharst
- Peter Scholze
- Alan G. B. Lauder
- Xinwen Zhu
- T. Mochizuki
- Liang Xiao
In Statistical and Nonlinear Physics
Citations in the corpus
- Relative p-adic Hodge theory, II: Imperfect period rings (2016, background): “Temkin has shown [106] that there exists a projective birational morphism f0 : Y0 → Spec(A) (actually a composition of blowups along regular centers) which analytifies to a morphism f : Y → X of rigid analytic spaces with Y smooth and f−1(Z) a normal crossings divisor.”