JournalsdmVol. 25Volume 25 (2020) Documenta MathematicaOApp. 1–54Heat Kernel of Anisotropic Nonlocal OperatorsKrzysztof BogdanPaweł SztonykVictoria Knopovapp. 55–64Finite Group Schemes of Essential Dimension OneNajmuddin Fakhruddinpp. 65–91Projective Superspace Varieties, Superspace Quadrics and Non-SplittingKowshik Bettadapurapp. 93–123On Numerical Nonvanishing for Generalized Log Canonical PairsJingjun HanWenfei Liupp. 125–142On the Whistle Cobordism Operation in String Topology of Classifying SpacesKatsuhiko Kuribayashipp. 143–157The Category of Finitely Presented Smooth Mod p Representations of GL2(F)Jack Shottonpp. 159–169Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic StacksFabio ToniniLei Zhangpp. 171–188Special Groups, Versality and the Grothendieck-Serre ConjectureZinovy ReichsteinDajano Tossicipp. 189–217Connection and Curvature on Bundles of Bergman and Hardy SpacesMiroslav EnglisGenkai Zhangpp. 219–238On Projective Kähler Manifolds of Partially Positive Curvature and Rational ConnectednessGordon HeierBun Wongpp. 239–265Rational Models for Automorphisms of Fiber BundlesAlexander Berglundpp. 267–307Hodge Numbers and Deformations of Fano 3-FoldsGavin BrownEnrico Fatighentipp. 309–328Non-Koszulness of Operads and Positivity of Poincaré SeriesVladimir DotsenkoMartin MarklElisabeth Remmpp. 329–364Essential Dimension and Genericity for Quiver RepresentationsFederico Scaviapp. 365–380Double Shuffle Relations for Refined Symmetric Multiple Zeta ValuesMinoru Hirosepp. 381–399On Semicontinuity of Multiplicities in FamiliesIlya Smirnovpp. 401–424Pure Projective Tilting ModulesSilvana BazzoniIvo HerzogPavel PříhodaJan ŠarochJan Trlifajpp. 425–456Quantum Affine Wreath AlgebrasDaniele RossoAlistair Savagepp. 457–482Cdh Descent in Equivariant Homotopy K-TheoryMarc Hoyoispp. 483–525Frobenius and Spherical Codomains and NeighbourhoodsAndreas HocheneggerCiaran Meachanpp. 527–633Involutions of Azumaya AlgebrasUriya A. FirstBen Williamspp. 635–654The Motive of a Smooth Theta DivisorHumberto A. Diazpp. 655–699Toric Sheaves on Hirzebruch OrbifoldsWeikun Wangpp. 701–720Stratifying Systems through τ-Tilting TheoryOctavio Mendoza HernándezHipolito Treffingerpp. 721–735Decay Rates of Bound States at the Spectral Threshold of Multi-Particle Schrödinger OperatorsSimon BarthAndreas Bitterpp. 737–765The Well-Posedness of the Cauchy Problem for the Dirac Operator on Globally Hyperbolic Manifolds with Timelike BoundaryNadine GrosseSimone Murropp. 767–809A Horrocks-Type Theorem for Even Orthogonal K2Andrei V. LavrenovSergei S. Sinchukpp. 811–840On Infinite Effectivity of Motivic Spectra and the Vanishing of their MotivesMikhail Vladimirovich Bondarkopp. 841–868Action of the Mapping Class Group on Character Varieties and Higgs BundlesOscar Garcia-PradaGraeme Wilkinpp. 869–898Unique Continuation for Many-Body Schrödinger Operators and the Hohenberg-Kohn Theorem. II: The Pauli HamiltonianLouis Garriguepp. 899–910Finiteness Properties of Affine Deligne-Lusztig VarietiesPaul HamacherEva Viehmannpp. 911–954Norm-Compatible Systems of Galois Cohomology Classes for GSp6Antonio CauchiJoaquín Rodrigues Jacintopp. 955–1009Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log SchemesSarah ScherotzkeNicolò SibillaMattia Talpopp. 1011–1027GSV-Index for Holomorphic Pfaff SystemsMaurício CorrêaDiogo da Silva Machadopp. 1029–1077Cotilting Sheaves over Weighted Noncommutative Regular Projective CurvesDirk KussinRosanna Lakingpp. 1079–1157A Dolbeault-Dirac Spectral Triple for Quantum Projective SpaceBiswarup DasReamonn Ó BuachallaPetr Sombergpp. 1159–1169A Characterization of Permutation Modules Extending a Theorem of WeissJohn William MacQuarriePavel Zalesskiipp. 1171–1194A Finiteness Theorem for Special Unitary Groups of Quaternionic Skew-Hermitian Forms with Good ReductionSrimathy Srinivasanpp. 1195–1239On the Fibres of Mishchenko-Fomenko SystemsPeter CrooksMarkus Roeserpp. 1241–1262Fermat's Cubic, Klein's Quartic and Rigid Complex Manifolds of Kodaira Dimension OneIngrid BauerChristian Gleissnerpp. 1263–1284On Unramified Brauer Groups of Torsors over ToriEva Bayer-FluckigerRaman Parimalapp. 1285–1313Multipartite Rational FunctionsIgor KlepVictor VinnikovJurij Volčičpp. 1315–1351Fractional Exponential Decay in the Forbidden Region for Toeplitz OperatorsAlix Deleportepp. 1353–1419Nonarchimedean Analytic Cyclic HomologyGuillermo CortiñasRalf MeyerDevarshi Mukherjeepp. 1421–1539The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and CuspsJohannes AltLászló ErdősTorben Krügerpp. 1541–1570Modules of Constant Jordan Type over Quantum Complete IntersectionsPetter Andreas BerghKarin ErdmannDavid Jorgensenpp. 1571–1652The Universal Lie ∞-Algebroid of a Singular FoliationCamille Laurent-GengouxSylvain LavauThomas Stroblpp. 1653–1725Intersection Space Constructible ComplexesMarta Agustín VicenteJavier Fernandez de Bobadillapp. 1727–1786Monoidal Structures on the Categories of Quadratic DataYuri Ivanovich ManinBruno Vallettepp. 1787–1833Stability of Equivariant Vector Bundles over Toric VarietiesJyoti DasguptaArijit DeyBivas Khanpp. 1835–1863Cohomogeneity One Manifolds with Singly Generated Rational CohomologyJason DeVitoLee Kennardpp. 1865–1880The Bredon-Landweber Region in C2-Equivariant Stable Homotopy GroupsBertrand J. GuillouDaniel C. Isaksenpp. 1881–1916Profinite Groups with a Cyclotomic p-OrientationClaudio QuadrelliThomas S. Weigelpp. 1917–1952Ramification Divisors of General ProjectionsAnand DeopurkarEduard DuryevAnand Patelpp. 1953–1996Strong (δ,n)-Complements for Semi-Stable MorphismsStefano FilipazziJoaquín Moragapp. 1997–2022Rost Multipliers of Lifted Kronecker Tensor ProductsCameron Ruetherpp. 2023–2048Stationary Solutions to the Two-Dimensional Broadwell ModelLeif ArkerydAnne Nouripp. 2049–2084Factorization of Dirac Operators on Almost-Regular Fibrations of Spinc ManifoldsJens KaadWalter D. van Suijlekompp. 2085–2114Semi-Free Actions with Manifold Orbit SpacesJohn HarveyMartin KerinKrishnan Shankarpp. 2115–2147A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-TrivialYukako KezukaYongxiong Lipp. 2149–2177Representation Theory of Disconnected Reductive GroupsPramod N. AcharWilliam D. HardestySimon Richepp. 2179–2239Aspects of Enumerative Geometry with Quadratic FormsMarc Levinepp. 2241–2302Comparison Theory of Distance Spheres along GeodesicsReinhard Brockspp. 2303–2337Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation TilingsMichael BaakeUwe Grimmpp. 2339–2354Schur-Finiteness (and Bass-Finiteness) Conjecture for Quadric Fibrations and Families of Sextic du Val del Pezzo SurfacesGonçalo Tabuadapp. 2355–2411Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive CharacteristicOğuz Gezmişpp. 2413–2443Non-Elliptic Webs and Convex Sets in the Affine BuildingTair Akhmejanovpp. 2445–2471On the Control Theorem for Fine Selmer Groups and the Growth of Fine Tate-Shafarevich Groups in Zp-ExtensionsMeng Fai Limpp. 2473–2485Generic Smooth RepresentationsAlexandre Pyvovarovpp. 2487–2506Monodromy for Some Rank Two Galois Representations over CM FieldsPatrick B. AllenJames Newtonpp. 2507–2552The Weak Tracial Rokhlin Property for Finite Group Actions on Simple C*-AlgebrasMarzieh ForoughNasser Golestanipp. 2553–2582Actions, Quotients and Lattices of Locally Compact Quantum GroupsMichael BrannanAlexandru ChirvasituAmi Viselter
pp. 125–142On the Whistle Cobordism Operation in String Topology of Classifying SpacesKatsuhiko Kuribayashi
pp. 159–169Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic StacksFabio ToniniLei Zhang
pp. 171–188Special Groups, Versality and the Grothendieck-Serre ConjectureZinovy ReichsteinDajano Tossici
pp. 189–217Connection and Curvature on Bundles of Bergman and Hardy SpacesMiroslav EnglisGenkai Zhang
pp. 219–238On Projective Kähler Manifolds of Partially Positive Curvature and Rational ConnectednessGordon HeierBun Wong
pp. 309–328Non-Koszulness of Operads and Positivity of Poincaré SeriesVladimir DotsenkoMartin MarklElisabeth Remm
pp. 401–424Pure Projective Tilting ModulesSilvana BazzoniIvo HerzogPavel PříhodaJan ŠarochJan Trlifaj
pp. 721–735Decay Rates of Bound States at the Spectral Threshold of Multi-Particle Schrödinger OperatorsSimon BarthAndreas Bitter
pp. 737–765The Well-Posedness of the Cauchy Problem for the Dirac Operator on Globally Hyperbolic Manifolds with Timelike BoundaryNadine GrosseSimone Murro
pp. 811–840On Infinite Effectivity of Motivic Spectra and the Vanishing of their MotivesMikhail Vladimirovich Bondarko
pp. 841–868Action of the Mapping Class Group on Character Varieties and Higgs BundlesOscar Garcia-PradaGraeme Wilkin
pp. 869–898Unique Continuation for Many-Body Schrödinger Operators and the Hohenberg-Kohn Theorem. II: The Pauli HamiltonianLouis Garrigue
pp. 911–954Norm-Compatible Systems of Galois Cohomology Classes for GSp6Antonio CauchiJoaquín Rodrigues Jacinto
pp. 955–1009Parabolic Semi-Orthogonal Decompositions and Kummer Flat Invariants of Log SchemesSarah ScherotzkeNicolò SibillaMattia Talpo
pp. 1029–1077Cotilting Sheaves over Weighted Noncommutative Regular Projective CurvesDirk KussinRosanna Laking
pp. 1079–1157A Dolbeault-Dirac Spectral Triple for Quantum Projective SpaceBiswarup DasReamonn Ó BuachallaPetr Somberg
pp. 1159–1169A Characterization of Permutation Modules Extending a Theorem of WeissJohn William MacQuarriePavel Zalesskii
pp. 1171–1194A Finiteness Theorem for Special Unitary Groups of Quaternionic Skew-Hermitian Forms with Good ReductionSrimathy Srinivasan
pp. 1241–1262Fermat's Cubic, Klein's Quartic and Rigid Complex Manifolds of Kodaira Dimension OneIngrid BauerChristian Gleissner
pp. 1315–1351Fractional Exponential Decay in the Forbidden Region for Toeplitz OperatorsAlix Deleporte
pp. 1421–1539The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and CuspsJohannes AltLászló ErdősTorben Krüger
pp. 1541–1570Modules of Constant Jordan Type over Quantum Complete IntersectionsPetter Andreas BerghKarin ErdmannDavid Jorgensen
pp. 1571–1652The Universal Lie ∞-Algebroid of a Singular FoliationCamille Laurent-GengouxSylvain LavauThomas Strobl
pp. 1653–1725Intersection Space Constructible ComplexesMarta Agustín VicenteJavier Fernandez de Bobadilla
pp. 1727–1786Monoidal Structures on the Categories of Quadratic DataYuri Ivanovich ManinBruno Vallette
pp. 1787–1833Stability of Equivariant Vector Bundles over Toric VarietiesJyoti DasguptaArijit DeyBivas Khan
pp. 1835–1863Cohomogeneity One Manifolds with Singly Generated Rational CohomologyJason DeVitoLee Kennard
pp. 1865–1880The Bredon-Landweber Region in C2-Equivariant Stable Homotopy GroupsBertrand J. GuillouDaniel C. Isaksen
pp. 2049–2084Factorization of Dirac Operators on Almost-Regular Fibrations of Spinc ManifoldsJens KaadWalter D. van Suijlekom
pp. 2115–2147A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-TrivialYukako KezukaYongxiong Li
pp. 2149–2177Representation Theory of Disconnected Reductive GroupsPramod N. AcharWilliam D. HardestySimon Riche
pp. 2303–2337Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation TilingsMichael BaakeUwe Grimm
pp. 2339–2354Schur-Finiteness (and Bass-Finiteness) Conjecture for Quadric Fibrations and Families of Sextic du Val del Pezzo SurfacesGonçalo Tabuada
pp. 2355–2411Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive CharacteristicOğuz Gezmiş
pp. 2445–2471On the Control Theorem for Fine Selmer Groups and the Growth of Fine Tate-Shafarevich Groups in Zp-ExtensionsMeng Fai Lim
pp. 2487–2506Monodromy for Some Rank Two Galois Representations over CM FieldsPatrick B. AllenJames Newton
pp. 2507–2552The Weak Tracial Rokhlin Property for Finite Group Actions on Simple C*-AlgebrasMarzieh ForoughNasser Golestani
pp. 2553–2582Actions, Quotients and Lattices of Locally Compact Quantum GroupsMichael BrannanAlexandru ChirvasituAmi Viselter