Valuation Theory in Interaction


Book details

A study of irreducible polynomials over henselian valued fields via distinguished pairs
Kamal Aghigh, Anuj Bishnoi, Sanjeev Kumar and Sudesh K. Khanduja
pp. 1–10
Abstract | Full-Text PDF (348 KB)

On fields of totally $\mathfrak{S}$-adic numbers. With an appendix by Florian Pop
Lior Bary-Soroker and Arno Fehm
pp. 11–15
Abstract | Full-Text PDF (296 KB)

Infinite towers of Artin-Schreier defect extensions of rational function fields
Anna Blaszczok
pp. 16–54
Abstract | Full-Text PDF (463 KB)

A refinement of Izumi's Theorem
Sébastien Boucksom, Charles Favre and Mattias Jonsson
pp. 55–81
Abstract | Full-Text PDF (492 KB)

Multivariable Hodge theoretical invariants of germs of plane curves. II
Pierrette Cassou-Noguès and Anatoly Libgober
pp. 82–135
Abstract | Full-Text PDF (673 KB)

Existence des diviseurs dicritiques, d’après S.S. Abhyankar
Vincent Cossart, Mickaël Matusinski and Guillermo Moreno-Socías
pp. 136–147
Abstract | Full-Text PDF (495 KB)

Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity
Vincent Cossart, Olivier Piltant and Ana J. Reguera
pp. 148–166
Abstract | Full-Text PDF (363 KB)

An introduction to $C$-minimal structures and their cell decomposition theorem
Pablo Cubides Kovacsics
pp. 167–207
Abstract | Full-Text PDF (595 KB)

Valuation semigroups of Noetherian local domains
Steven Dale Cutkosky
pp. 208–218
Abstract | Full-Text PDF (330 KB)

Additive polynomials over perfect fields
Salih Durhan
pp. 219–225
Abstract | Full-Text PDF (311 KB)

On $\mathbb{R}$-places and related topics
Danielle Gondard-Cozette
pp. 226–251
Abstract | Full-Text PDF (405 KB)

Extending valuations to formal completions
Francisco Javier Herrera Govantes, Miguel Ángel Olalla Acosta, Mark Spivakovsky and Bernard Teissier
pp. 252–265
Abstract | Full-Text PDF (370 KB)

Extending real valuations to skew polynomial rings
Ángel Granja, M. C. Martínez and C. Rodríguez
pp. 266–287
Abstract | Full-Text PDF (415 KB)

Stratifications in valued fields
Immanuel Halupczok
pp. 288–296
Abstract | Full-Text PDF (370 KB)

Imaginaries and definable types in algebraically closed valued fields
Ehud Hrushovski
pp. 297–319
Abstract | Full-Text PDF (440 KB)

Defects of algebraic function fields, completion defects and defect quotients
Franz-Viktor Kuhlmann and Asim Naseem
pp. 320–349
Abstract | Full-Text PDF (417 KB)

On generalized series fields and exponential-logarithmic series fields with derivations
Mickaël Matusinski
pp. 350–372
Abstract | Full-Text PDF (1055 KB)

Jet schemes of rational double point singularities
Hussein Mourtada
pp. 373–388
Abstract | Full-Text PDF (410 KB)

Valuations centered at a two-dimensional regular local domain: infima and topologies
Josnei Novacoski
pp. 389–403
Abstract | Full-Text PDF (339 KB)

Reduction of local uniformization to the rank one case
Josnei Novacoski and Mark Spivakovsky
pp. 404–431
Abstract | Full-Text PDF (411 KB)

Little survey on large fields - old & new
Florian Pop
pp. 432–463
Abstract | Full-Text PDF (503 KB)

Quasi-valuations -- topology and the weak approximation theorem
Shai Sarussi
pp. 464–473
Abstract | Full-Text PDF (275 KB)

Overweight deformations of affine toric varieties and local uniformization
Bernard Teissier
pp. 474–565
Abstract | Full-Text PDF (855 KB)

Detecting valuations using small Galois groups
Adam Topaz
pp. 568–578
Abstract | Full-Text PDF (386 KB)

Truncation in Hahn fields
Lou van den Dries
pp. 579–595
Abstract | Full-Text PDF (370 KB)

The ergodicity of 1-Lipschitz transformations on 2-adic spheres
Ekaterina Yurova
pp. 596–599
Abstract | Full-Text PDF (244 KB)

Ramification of higher local fields approaches and questions
Liang Xiao and Igor Zhukov
pp. 600–656
Abstract | Full-Text PDF (672 KB)

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