BooksecrCollected VolumeValuation Theory in InteractionEditorsAntonio CampilloUniversidad de Valladolid, SpainFranz-Viktor KuhlmannUniversity of Saskatchewan, Saskatoon, CanadaBernard TeissierInstitut de Mathématiques de Jussieu, Paris, FranceOverviewContentsBuy from $117.00Download PDFA subscription is required to access this book.pp. 1–10A study of irreducible polynomials over henselian valued fields via distinguished pairsKamal AghighAnuj BishnoiSudesh K. KhandujaSanjeev Kumarpp. 11–15On fields of totally S\mathfrak{S}S-adic numbers. With an appendix by Florian PopLior Bary-SorokerArno Fehmpp. 16–54Infinite towers of Artin-Schreier defect extensions of rational function fieldsAnna Blaszczokpp. 55–81A refinement of Izumi's TheoremSébastien BoucksomCharles FavreMattias Jonssonpp. 82–135Multivariable Hodge theoretical invariants of germs of plane curves. IIPierrette Cassou-NoguèsAnatoly Libgoberpp. 136–147Existence des diviseurs dicritiques, d’après S.S. AbhyankarVincent CossartMickaël MatusinskiGuillermo Moreno-Socíaspp. 148–166Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularityVincent CossartOlivier PiltantAna J. Reguerapp. 167–207An introduction to CCC-minimal structures and their cell decomposition theoremPablo Cubides Kovacsicspp. 208–218Valuation semigroups of Noetherian local domainsSteven Dale Cutkoskypp. 219–225Additive polynomials over perfect fieldsSalih Durhanpp. 226–251On R\mathbb{R}R-places and related topicsDanielle Gondard-Cozettepp. 252–265Extending valuations to formal completionsFrancisco Javier Herrera GovantesMiguel Ángel Olalla AcostaMark SpivakovskyBernard Teissierpp. 266–287Extending real valuations to skew polynomial ringsÁngel GranjaM. C. MartínezC. Rodríguezpp. 288–296Stratifications in valued fieldsImmanuel Halupczokpp. 297–319Imaginaries and definable types in algebraically closed valued fieldsEhud Hrushovskipp. 320–349Defects of algebraic function fields, completion defects and defect quotientsFranz-Viktor KuhlmannAsim Naseempp. 350–372On generalized series fields and exponential-logarithmic series fields with derivationsMickaël Matusinskipp. 373–388Jet schemes of rational double point singularitiesHussein Mourtadapp. 389–403Valuations centered at a two-dimensional regular local domain: infima and topologiesJosnei Novacoskipp. 404–431Reduction of local uniformization to the rank one caseJosnei NovacoskiMark Spivakovskypp. 432–463Little survey on large fields - old & newFlorian Poppp. 464–473Quasi-valuations -- topology and the weak approximation theoremShai Sarussipp. 474–565Overweight deformations of affine toric varieties and local uniformizationBernard Teissierpp. 568–578Detecting valuations using small Galois groupsAdam Topazpp. 579–595Truncation in Hahn fieldsLou van den Driespp. 596–599The ergodicity of 1-Lipschitz transformations on 2-adic spheresEkaterina Yurovapp. 600–656Ramification of higher local fields approaches and questionsLiang XiaoIgor Zhukov
pp. 1–10A study of irreducible polynomials over henselian valued fields via distinguished pairsKamal AghighAnuj BishnoiSudesh K. KhandujaSanjeev Kumar
pp. 11–15On fields of totally S\mathfrak{S}S-adic numbers. With an appendix by Florian PopLior Bary-SorokerArno Fehm
pp. 16–54Infinite towers of Artin-Schreier defect extensions of rational function fieldsAnna Blaszczok
pp. 82–135Multivariable Hodge theoretical invariants of germs of plane curves. IIPierrette Cassou-NoguèsAnatoly Libgober
pp. 136–147Existence des diviseurs dicritiques, d’après S.S. AbhyankarVincent CossartMickaël MatusinskiGuillermo Moreno-Socías
pp. 148–166Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularityVincent CossartOlivier PiltantAna J. Reguera
pp. 167–207An introduction to CCC-minimal structures and their cell decomposition theoremPablo Cubides Kovacsics
pp. 252–265Extending valuations to formal completionsFrancisco Javier Herrera GovantesMiguel Ángel Olalla AcostaMark SpivakovskyBernard Teissier
pp. 320–349Defects of algebraic function fields, completion defects and defect quotientsFranz-Viktor KuhlmannAsim Naseem
pp. 350–372On generalized series fields and exponential-logarithmic series fields with derivationsMickaël Matusinski
pp. 389–403Valuations centered at a two-dimensional regular local domain: infima and topologiesJosnei Novacoski
pp. 474–565Overweight deformations of affine toric varieties and local uniformizationBernard Teissier
