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