JournalsdmVol. 23Volume 23 (2018) Documenta MathematicaOApp. 1–14On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type G31Alexandru DimcaGabriel Sticlarupp. 15–34On the Rank of Universal Quadratic Forms over Real Quadratic FieldsValentin BlomerVítězslav Kalapp. 35–47Wide Subcategories are SemistableToshiya Yurikusapp. 49–76Graded Frobenius Cluster CategoriesJan E. GrabowskiMatthew Presslandpp. 77–115The Universal Connection for Principal Bundles over Homogeneous Spaces and Twistor Space of Coadjoint OrbitsIndranil BiswasMichael Lennox Wongpp. 117–170Hochschild Cohomology of Polynomial Representations of GL2Vanessa MiemietzWill Turnerpp. 171–188On Nonarchimedean Banach FieldsKiran S. Kedlayapp. 189–240Deformation Theory with Homotopy Algebra Structures on Tensor ProductsDaniel Robert-Nicoudpp. 241–291Differential Embedding Problems over Complex Function FieldsAnnette BachmayrDavid HarbaterJulia HartmannMichael Wibmerpp. 293–325Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered StructureAhmad Reza Haj Saeedi SadeghNigel Higsonpp. 327–351HNN Extensions of Quasi-Lattice Ordered Groups and their Operator AlgebrasIain RaeburnIlija TolichAstrid an Huefpp. 353–382Relative Property (T) for Nilpotent SubgroupsIndira ChatterjiDave Witte MorrisRiddhi Shahpp. 383–406On Endoscopic p-Adic Automorphic Forms for SL2Judith Ludwigpp. 407–444A Cycle Class Map from Chow Groups with Modulus to Relative K-TheoryFederico Bindapp. 445–495Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary SignatureEllen EischenJessica FintzenElena MantovanIla Varmapp. 497–541Lattices in Crystalline Representations and Kisin Modules Associated with Iterate ExtensionsYoshiyasu Ozekipp. 543–597On the Homotopy Exact Sequence for Log Algebraic Fundamental GroupsValentina Di ProiettoAtsushi Shihopp. 599–636Spectral Asymptotics for the Schrödinger Operator on the Line with Spreading and Oscillating PotentialsVincent DuchêneNicolas Raymondpp. 637–651Some Non-Special Cubic FourfoldsNicolas AddingtonAsher Auelpp. 653–675A Local-Global Principle for Symplectic K2Andrei Lavrenovpp. 677–696Numerical Dimension and Locally Ample CurvesChung-Ching Laupp. 697–745Quasi-Homogeneity of the Moduli Space of Stable Maps to Homogeneous SpacesChristoph Mark Bärligeapp. 747–758Hermitian Forms and Systems of Quadratic FormsAmir Hossein Nokhodkarpp. 759–798Motivic Cohomology of Fat Points in Milnor RangeJinhyun ParkSinan Ünverpp. 799–813On Exact Pleijel's Constant for Some DomainsVladmir Bobkovpp. 815–838Prolongations of t-Motives and Algebraic Independence of PeriodsAndreas Maurischatpp. 839–870Abstract ℓ-Adic 1-Motives and Tate's Canonical Class for Number FieldsCornelius GreitherCristian D. Popescupp. 871–894Dimension Theory of the Moduli Space of Twisted K-DifferentialsJohannes Schmittpp. 895–937Relative Homological Algebra via TruncationsWojciech ChachólskiAmnon NeemanWolfgang PitschJérôme Schererpp. 939–967p-Adic Fourier Theory of Differentiable FunctionsEnno Nagelpp. 969–996Cohomological Invariants of Genus Three Hyperelliptic CurvesRoberto Pirisipp. 997–1076Bivariant Theories in Motivic Stable HomotopyFrédéric Déglisepp. 1077–1127The Motivic Cofiber of τBogdan Gheorghepp. 1129–1156On Vector-Valued Siegel Modular Forms of Degree 2 and Weight (j,2)Fabien CléryGerard van der Geerpp. 1157–1196The Complexity of a Flat GroupoidMatthieu RomagnyDavid RydhGabriel Zalamanskypp. 1197–1245Nonarchimedean Bornologies, Cyclic Homology and Rigid CohomologyGuillermo CortiñasJoachim CuntzRalf MeyerGeorg Tammepp. 1247–1261Walls in Milnor Fiber ComplexesAlexander R. Millerpp. 1263–1290On the Quotients of the Maximal Unramified 2-Extension of a Number FieldChristian Mairepp. 1291–1311Proper Holomorphic Mappings onto Symmetric Products of a Riemann SurfaceGautam BharaliIndranil BiswasDivakaran DivakaranJaikrishnan Janardhananpp. 1313–1404Arithmetic Families of (φ,Γ)-Modules and Locally Analytic Representations of GL2(Qp)Ildar GaisinJoaquín Rodrigues Jacintopp. 1405–1424The Motivic Hopf Map Solves the Homotopy Limit Problem for K-TheoryOliver RöndigsMarkus SpitzweckPaul Arne Østværpp. 1425–1560Weil-Étale Cohomology and Zeta-Values of Proper Regular Arithmetic SchemesMatthias FlachBaptiste Morinpp. 1561–1585On Courant's Nodal Domain Property for Linear Combinations of Eigenfunctions. IPierre H. BérardBernard Helfferpp. 1587–1600Essential Dimension in Mixed CharacteristicPatrick BrosnanZinovy ReichsteinAngelo Vistolipp. 1601–1619Big Cohen-Macaulay Modules, Morphisms of Perfect Complexes, and Intersection Theorems in Local AlgebraLuchezar L. AvramovSrikanth B. IyengarAmnon Neemanpp. 1621–1634Embeddings of Quadratic SpacesVineeth Chintalapp. 1635–1657Rost Nilpotence and Free TheoriesStefan GilleAlexander Vishikpp. 1659–1676The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in C2Peter Ebenfeltpp. 1677–1756Cylindrical Wigner MeasuresMarco Falconipp. 1757–1797Model Topoi and Motivic Homotopy TheoryGeorgios RaptisFlorian Strunkpp. 1799–1828The zeta Functions of Moduli Stacks of G-Zips and Moduli Stacks of Truncated Barsotti-Tate GroupsMilan Lopuhaä-Zwakenbergpp. 1829–1861Kähler Geometry on Hurwitz SpacesPhilipp Naumannpp. 1863–1894p-Adic Deformation of Motivic Chow GroupsAndreas Langerpp. 1895–1924Matrix Factorizations and Curves in P4Frank-Olaf SchreyerFabio Tanturripp. 1925–1967Duality for Relative Logarithmic de Rham-Witt Sheaves on Semistable Schemes over Fq[[t]]Yigeng Zhaopp. 1969–1993The L2-Torsion Polytope of Amenable GroupsFlorian Funkepp. 1995–2025On a Construction Due to Khoshkam and SkandalisS. Sundarpp. 2027–2041Green Functions and Higher Deligne-Lusztig CharactersZhe Chenpp. 2043–2077The Minimal Exact Crossed ProductAlcides BussSiegfried EchterhoffRufus Willettpp. 2079–2080Erratum for “Fano Threefolds with 2-Torus Action” [Cf. Documenta Mathematica, vol. 19 (2014), p. 905–940]Hendrik Süßpp. 2081–2100A Step Towards Twist ConjectureJingyin HuangPiotr Przytyckipp. 2101–2163Topological Cyclic Homology Via the NormVigleik AngeltveitAndrew J. BlumbergTeena GerhardtMichael A. HillTyler LawsonMichael A. Mandellpp. 2165–2216Categorically Morita Equivalent Compact Quantum GroupsSergey NeshveyevMakoto Yamashita
pp. 1–14On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type G31Alexandru DimcaGabriel Sticlaru
pp. 15–34On the Rank of Universal Quadratic Forms over Real Quadratic FieldsValentin BlomerVítězslav Kala
pp. 77–115The Universal Connection for Principal Bundles over Homogeneous Spaces and Twistor Space of Coadjoint OrbitsIndranil BiswasMichael Lennox Wong
pp. 189–240Deformation Theory with Homotopy Algebra Structures on Tensor ProductsDaniel Robert-Nicoud
pp. 241–291Differential Embedding Problems over Complex Function FieldsAnnette BachmayrDavid HarbaterJulia HartmannMichael Wibmer
pp. 293–325Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered StructureAhmad Reza Haj Saeedi SadeghNigel Higson
pp. 327–351HNN Extensions of Quasi-Lattice Ordered Groups and their Operator AlgebrasIain RaeburnIlija TolichAstrid an Huef
pp. 445–495Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary SignatureEllen EischenJessica FintzenElena MantovanIla Varma
pp. 497–541Lattices in Crystalline Representations and Kisin Modules Associated with Iterate ExtensionsYoshiyasu Ozeki
pp. 543–597On the Homotopy Exact Sequence for Log Algebraic Fundamental GroupsValentina Di ProiettoAtsushi Shiho
pp. 599–636Spectral Asymptotics for the Schrödinger Operator on the Line with Spreading and Oscillating PotentialsVincent DuchêneNicolas Raymond
pp. 697–745Quasi-Homogeneity of the Moduli Space of Stable Maps to Homogeneous SpacesChristoph Mark Bärligea
pp. 839–870Abstract ℓ-Adic 1-Motives and Tate's Canonical Class for Number FieldsCornelius GreitherCristian D. Popescu
pp. 895–937Relative Homological Algebra via TruncationsWojciech ChachólskiAmnon NeemanWolfgang PitschJérôme Scherer
pp. 1129–1156On Vector-Valued Siegel Modular Forms of Degree 2 and Weight (j,2)Fabien CléryGerard van der Geer
pp. 1197–1245Nonarchimedean Bornologies, Cyclic Homology and Rigid CohomologyGuillermo CortiñasJoachim CuntzRalf MeyerGeorg Tamme
pp. 1291–1311Proper Holomorphic Mappings onto Symmetric Products of a Riemann SurfaceGautam BharaliIndranil BiswasDivakaran DivakaranJaikrishnan Janardhanan
pp. 1313–1404Arithmetic Families of (φ,Γ)-Modules and Locally Analytic Representations of GL2(Qp)Ildar GaisinJoaquín Rodrigues Jacinto
pp. 1405–1424The Motivic Hopf Map Solves the Homotopy Limit Problem for K-TheoryOliver RöndigsMarkus SpitzweckPaul Arne Østvær
pp. 1425–1560Weil-Étale Cohomology and Zeta-Values of Proper Regular Arithmetic SchemesMatthias FlachBaptiste Morin
pp. 1561–1585On Courant's Nodal Domain Property for Linear Combinations of Eigenfunctions. IPierre H. BérardBernard Helffer
pp. 1587–1600Essential Dimension in Mixed CharacteristicPatrick BrosnanZinovy ReichsteinAngelo Vistoli
pp. 1601–1619Big Cohen-Macaulay Modules, Morphisms of Perfect Complexes, and Intersection Theorems in Local AlgebraLuchezar L. AvramovSrikanth B. IyengarAmnon Neeman
pp. 1659–1676The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in C2Peter Ebenfelt
pp. 1799–1828The zeta Functions of Moduli Stacks of G-Zips and Moduli Stacks of Truncated Barsotti-Tate GroupsMilan Lopuhaä-Zwakenberg
pp. 1925–1967Duality for Relative Logarithmic de Rham-Witt Sheaves on Semistable Schemes over Fq[[t]]Yigeng Zhao
pp. 2079–2080Erratum for “Fano Threefolds with 2-Torus Action” [Cf. Documenta Mathematica, vol. 19 (2014), p. 905–940]Hendrik Süß
pp. 2101–2163Topological Cyclic Homology Via the NormVigleik AngeltveitAndrew J. BlumbergTeena GerhardtMichael A. HillTyler LawsonMichael A. Mandell