Functorial desingularization over Q: boundaries and the embedded case

Michael Temkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

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.

Original languageAmerican English
Pages (from-to)455-504
Number of pages50
JournalIsrael Journal of Mathematics
Volume224
Issue number1
DOIs
StatePublished - 1 Apr 2018

Bibliographical note

Publisher Copyright:
© 2018, Hebrew University of Jerusalem.

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