Publications

The pdf files below are preprint (e.g. archive) versions of the published articles.
In particular, the formats are different and there may be small differences in the content.

On local properties of non-Archimedean spaces   PDF (286 KB)
Math. Ann. 318 (2000), 585-607.

On local properties of non-Archimedean spaces II  PDF (278 KB)
Isr. J. of Math. 140 (2004), 1-27.

A new proof of the Gerritzen-Grauert theorem   PDF (176 KB)
Math. Ann. 333 (2005), 261-269.

Desingularization of quasi-excellent schemes of characteristic zero      PDF (425 KB)
Adv. Math. 219 (2008), 488-522.

Non-Archimedean analytification of algebraic spaces   PDF (528 KB)
joint work with B. Conrad, J. Alg. Geom. 18 (2009), 731-788.

Power series over generalized Krull domains PDF (131 KB)
joint work with E. Paran, J. of Algebra 323 (2010), 546-550.

Stable modification of relative curves      PDF (650 KB)
J. Alg. Geom. 19 (2010), 603-677.

Q-universal desingularization PDF (311 KB)
joint work with E. Bierstone and P. Milman,
Asian J. of Math. 15 (2011), 229-250.

Riemann-Zariski spaces      PDF (483 KB)
Isr. J. of Math. 185 (2011), 1-42.

Absolute desingularization in characteristic zero PDF (304 KB)
Motivic integration and its interactions with model theory
and non-Archimedean geometry. Volume II, London Math. Soc.
Lecture Note Ser., 384 (2011), 213-250.

Functorial desingularization of quasi-excellent schemes
in characteristic zero: the non-embedded case PDF (394 KB)
Duke Journal of Mathematics 161 (2012), 2208-2254.

Inseparable local uniformization PDF (721 KB)
Journal of Algebra 373 (2013), 65-119 .

Berkovich spaces and tubular descent PDF (261 KB)
joint work with O. Ben-Bassat, Adv. in Math. 234 (2013), 217-238.

Introduction to Berkovich analytic spaces PDF (495 KB)
first chapter in Lecture Notes in Mathematics 2119, 3-66.

Morphisms of Berkovich curves and the different function PDF (652KB)
joint work with A. Cohen and D. Trushin,
Adv.Math. . 303 (2016), 800-858.

Metrization of differential pluriforms on Berkovich analytic spaces PDF (821KB)
Nonarchimedean and Tropical Geometry, Simons Symposia,
Springer, 2016, 195–285.

Ferrand's pushouts of algebraic spaces PDF (318 KB)
joint work with I. Tyomkin,
European J. of Math. 2 (2016), 960-983.

Prufer algebraic spaces PDF (385 KB)
joint work with I. Tyomkin,
Math. Z. 285 (2017), 1283-1318.

Torifications of diagonalizable group actions on toroidal schemes PDF (644 KB)
joint work with D. Abramovich,
Journal of Algebra 472 (2017), 279-338 .

Tame distillation and desingularization by p-alterations PDF (345KB)
Ann. of Math. 186 (2017), 97-126.

Metric uniformization of morphisms between Berkovich curves PDF (384KB)
Adv. Math. 317 (2017), 438-472.

Wild coverings of Berkovich curves PDF (149 KB)
Publications Mathématiques de Besançon 2017, 127–135.

Altered local uniformization of Berkovich spaces PDF (230 KB)
Isr. J. of Math. 221 (2017), 585–603.

Endomorphisms of power series fields and residue fields
of Fargues-Fontaine curves PDF (129 KB)
joint work with K. Kedlaya, Proceedings of AMS 146 (2018), 489–495.

Luna's fundamental lemma for diagonalizable groups PDF (523 KB)
joint work with D. Abramovich, Alg. Geom. 5 (2018), 77-113.

On relative birational geometry and Nagata's,
compactification for algebraic spaces PDF (392 KB)
joint work with I. Tyomkin, 2018 (2018), 3342–3387.

Functorial desingularization over Q:
boundaries and the embedded case PDF (389 KB)
Isr. J. of Math. 224 (2018), 455–504.

Functorial factorization of birational maps PDF (565 KB)
for qe schemes in characteristic 0
joint work with D. Abramovich, Algebra and Number Theory 13 (2019), 379–424.

Lifting problem for minimally wild covers of Berkovich curves PDF (485 KB)
joint work with U. Brezner, J. of Algebraic Geometry. 29 (2020), 123-166.

Toroidal orbifolds, destackification and Kummer blowings up PDF (412 KB)
joint work with D. Abramovich and J. Wlodarczyk, Algebra & Number Theory 14 (2020), 2001–2034.

Topological transcendence degree PDF (300KB)
Journal of Algebra 568 (2021), 35-60.

Principalization of ideals on logarithmic orbifolds PDF (663 KB)
joint work with D. Abramovich and J. Wlodarczyk, JEMS 22 (2020), 3805--3866.

Logarithmically regular morphisms PDF (344 KB)
joint work with S. Molcho, Math. Ann. 379 (2021), 325--346.

Descent for non-archimedean analytic spaces PDF (602KB)
joint work with B. Conrad, Tunisian Journal of Mathematics 3 (2021), 689—748.

Reduction and lifting problem for differential forms PDF (258 KB)
joint work with I. Tyomkin, Advances in Mathematics 397 (2022), published online.

Non-archimedean pinchings PDF (189 KB)
Mathematische Zeitschrift, (2022) published online, SharedIt link.

Preprints

Log smoothness and polystability over valuation rings PDF (494 KB)
joint work with K. Adiprasito, G. Liu and I. Pak, 1-39.

Semistable reduction in characteristic 0 PDF (312KB)
joint work with K. Adiprasito and G. Liu, 1-22.

Relative desingularization and principalization of ideals PDF (911 KB)
joint work with A. Abramovich and J. Wlodarczyk, 1-90.

Functorial embedded resolution via weighted blowings up PDF (309 KB)
joint work with A. Abramovich and J. Wlodarczyk, 1-20.