Valuation Theory in Interaction
Editors
Antonio Campillo
Universidad de Valladolid, SpainFranz-Viktor Kuhlmann
University of Saskatchewan, Saskatoon, CanadaBernard Teissier
Institut de Mathématiques de Jussieu, Paris, France
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pp. vii–viii PrefaceAntonio CampilloFranz-Viktor KuhlmannBernard Teissier
pp. ix–x Contentspp. xi–xiv IntroductionAntonio CampilloFranz-Viktor KuhlmannBernard Teissier
pp. 1–10 A study of irreducible polynomials over henselian valued fields via distinguished pairsKamal AghighAnuj BishnoiSudesh K. KhandujaSanjeev Kumar
DOI 10.4171/149-1/1pp. 11–15 On fields of totally -adic numbers. With an appendix by Florian PopLior Bary-SorokerArno Fehm
DOI 10.4171/149-1/2pp. 16–54 Infinite towers of Artin-Schreier defect extensions of rational function fieldsAnna Blaszczok
DOI 10.4171/149-1/3pp. 55–81 A refinement of Izumi's TheoremSébastien BoucksomCharles FavreMattias Jonsson
DOI 10.4171/149-1/4pp. 82–135 Multivariable Hodge theoretical invariants of germs of plane curves. IIPierrette Cassou-NoguèsAnatoly Libgober
DOI 10.4171/149-1/5pp. 136–147 Existence des diviseurs dicritiques, d’après S.S. AbhyankarVincent CossartMickaël MatusinskiGuillermo Moreno-Socías
DOI 10.4171/149-1/6pp. 148–166 Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularityVincent CossartOlivier PiltantAna J. Reguera
DOI 10.4171/149-1/7pp. 167–207 An introduction to -minimal structures and their cell decomposition theoremPablo Cubides Kovacsics
DOI 10.4171/149-1/8pp. 208–218 Valuation semigroups of Noetherian local domainsSteven Dale Cutkosky
DOI 10.4171/149-1/9pp. 219–225 Additive polynomials over perfect fieldsSalih Durhan
DOI 10.4171/149-1/10pp. 226–251 On -places and related topicsDanielle Gondard-Cozette
DOI 10.4171/149-1/11pp. 252–265 Extending valuations to formal completionsFrancisco Javier Herrera GovantesMiguel Ángel Olalla AcostaMark SpivakovskyBernard Teissier
DOI 10.4171/149-1/12pp. 266–287 Extending real valuations to skew polynomial ringsÁngel GranjaM. C. MartínezC. Rodríguez
DOI 10.4171/149-1/13pp. 288–296 Stratifications in valued fieldsImmanuel Halupczok
DOI 10.4171/149-1/14pp. 297–319 Imaginaries and definable types in algebraically closed valued fieldsEhud Hrushovski
DOI 10.4171/149-1/15pp. 320–349 Defects of algebraic function fields, completion defects and defect quotientsFranz-Viktor KuhlmannAsim Naseem
DOI 10.4171/149-1/16pp. 350–372 On generalized series fields and exponential-logarithmic series fields with derivationsMickaël Matusinski
DOI 10.4171/149-1/17pp. 373–388 Jet schemes of rational double point singularitiesHussein Mourtada
DOI 10.4171/149-1/18pp. 389–403 Valuations centered at a two-dimensional regular local domain: infima and topologiesJosnei Novacoski
DOI 10.4171/149-1/19pp. 404–431 Reduction of local uniformization to the rank one caseJosnei NovacoskiMark Spivakovsky
DOI 10.4171/149-1/20pp. 432–463 Little survey on large fields - old & newFlorian Pop
DOI 10.4171/149-1/21pp. 464–473 Quasi-valuations -- topology and the weak approximation theoremShai Sarussi
DOI 10.4171/149-1/22pp. 474–565 Overweight deformations of affine toric varieties and local uniformizationBernard Teissier
DOI 10.4171/149-1/23pp. 568–578 Detecting valuations using small Galois groupsAdam Topaz
DOI 10.4171/149-1/24pp. 579–595 Truncation in Hahn fieldsLou van den Dries
DOI 10.4171/149-1/25pp. 596–599 The ergodicity of 1-Lipschitz transformations on 2-adic spheresEkaterina Yurova
DOI 10.4171/149-1/26pp. 600–656 Ramification of higher local fields approaches and questionsLiang XiaoIgor Zhukov
DOI 10.4171/149-1/27