JournalsdmVol. 26Volume 26 (2021) Documenta MathematicaOApp. 1–63Iwasawa theory for symmetric squares of non-$p$-ordinary eigenformsKazim BüyükbodukAntonio LeiGuhan Venkatpp. 65–101Frobenius gauges and a new theory of $p$-torsion sheaves in characteristic $p$Jean-Marc FontaineUwe Jannsenpp. 103–124Cores of Ariki-Koike algebrasNicolas JaconCédric Lecouveypp. 125–148On the local regularity theory for the magnetohydrodynamic equationsDiego ChamorroFernando CortezJiao HeOscar Jarrínpp. 149–197$n$-quasi-abelian categories vs $n$-tilting torsion pairsLuisa Fiorotpp. 199–230A complete description of the cohomological invariants of even genus hyperelliptic curvesAndrea Di LorenzoRoberto Pirisipp. 231–269Semistable reduction of modular curves associated with maximal subgroups in prime levelBas EdixhovenPierre Parentpp. 271–335Essential crossed products for inverse semigroup actions: simplicity and pure infinitenessBartosz Kosma KwaśniewskiRalf Meyerpp. 337–413Reduced Whitehead groups of prime exponent algebras over $p$-adic curvesNivedita Bhaskharpp. 415–438The unirational components of the strata of genus $11$ curves with several pencils of degree $6$ in $M_{11}$Hanieh KeneshlouFrank-Olaf Schreyerpp. 439–464Complete intersections of quadrics and complete intersections on Segre varieties with common specializationsChris PetersHans Sterkpp. 465–522Hecke $L$-functions and Fourier coefficients of covering Eisenstein seriesFan Gaopp. 523–536Algebraic connective $K$-theory of a Severi-Brauer variety with prescribed reduced behaviorEoin Mackallpp. 537–559On lower bounds of the dimensions of multizeta values in positive characteristicYen-Tsung ChenRyotaro Haradapp. 561–582Motivic Mahowald invariants over general base fieldsJ. D. Quigleypp. 583–615On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theoryAlexander Sakhnovichpp. 617–659Morel homotopy modules and Milnor-Witt cycle modulesNiels Feldpp. 661–673Torsors of isotropic reductive groups over Laurent polynomialsAnastasia Stavrovapp. 675–711A pairing on the cuspidal eigenvariety for $GSp_{2g}$ and the ramification locusJu-Feng Wupp. 713–731Recovering a variable exponentTommi BranderJarkko Siltakoskipp. 733–742Non-commensurable hyperbolic manifolds with the same trace ringOlivier Milapp. 743–793Solving the selection-recombination equation: ancestral lines and dual processesFrederic AlbertiEllen Baakepp. 795–827Potentially diagonalisable lifts with controlled Hodge-Tate weightsRobin Bartlettpp. 829–871Hearts for commutative Noetherian rings: torsion pairs and derived equivalencesSergio PavonJorge Vitóriapp. 873–945The adic tame siteKatharina Hübnerpp. 947–979Transfer maps in generalized group homology via submanifoldsMartin NitscheThomas SchickRudolf Zeidlerpp. 981–1044Local acyclicity in $p$-adic cohomologyChristopher Lazdapp. 1045–1083Projective bundle theorem in MW-motivic cohomologyNanjun Yangpp. 1085–1119Algebraic slice spectral sequencesDominic Leon CulverHana Jia KongJ. D. Quigleypp. 1121–1144Cancellation theorem for motivic spaces with finite flat transfersTom Bachmannpp. 1145–1185Relations between infinitesimal non-commutative cumulantsAdrián CelestinoKurusch Ebrahimi-FardDaniel Peralespp. 1187–1236On the relationship between logarithmic TAQ and logarithmic THHTommy Lundemopp. 1237–1269Some homological properties of category $O$. VIHankyung KoVolodymyr MazorchukRafael Mrdenpp. 1271–1274Erratum to: "Stability of equivariant vector bundles over toric varieties"Jyoti DasguptaArijit DeyBivas Khanpp. 1275–1327Cdh descent for homotopy Hermitian $K$-theory of rings with involutionDaniel Carmodypp. 1329–1393Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(φ,Γ)$-modulesAnnie CarterKiran S. KedlayaGergely Zábrádipp. 1395–1421The pro-étale cohomology of Drinfeld's upper half spaceSascha Orlikpp. 1423–1464On the James and Hilton-Milnor splittings, and the metastable EHP sequenceSanath DevalapurkarPeter Hainepp. 1465–1500Decompositions of derived categories of gerbes and of families of Brauer-Severi varietiesDaniel BerghOlaf M. Schnürerpp. 1501–1528Ratio limits and Martin boundaryWolfgang Woesspp. 1529–1556Toeplitz quotient $C_{∗}$-algebras and ratio limits for random walksAdam Dor-Onpp. 1557–1599The "fundamental theorem" for the higher algebraic $K$-theory of strongly $Z$-graded ringsThomas Hüttemannpp. 1601–1627Bracket width of simple Lie algebrasAdrien DuboulozBoris KunyavskiĭAndriy Regetapp. 1629–1632Erratum to: "The minimal exact crossed product"Alcides BussSiegfried EchterhoffRufus Willettpp. 1633–1677Compatibility of special value conjectures with the functional equation of zeta functionsMatthias FlachBaptiste Morinpp. 1679–1727Matui's AH conjecture for graph groupoidsPetter NylandEduard Ortegapp. 1729–1770On a torsion analogue of the weight-monodromy conjectureKazuhiro Itopp. 1771–1798Galois representations, $(φ,Γ)$-modules and prismatic F-crystalsZhiyou Wupp. 1799–1815Groups of isometries of the Cuntz algebrasRoberto ContiStefano Rossipp. 1817–1850$k$-differentials on curves and rigid cycles in moduli spaceScott Mullanepp. 1851–1869Universally defining finitely generated subrings of global fieldsNicolas Daanspp. 1871–1888The maximal discrete extension of the Hermitian modular groupAloys KriegMartin RaumAnnalena Wernzpp. 1889–1927Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension $4$John HarveyCatherine Searlepp. 1929–1979On the reductions of certain two-dimensional crystalline representationsBodan Arsovskipp. 1981–2003Supports for linear degenerations of flag varietiesXin FangMarkus Reinekepp. 2005–2059Intermediate extensions and crystalline distribution algebrasChristine HuygheTobias Schmidtpp. 2061–2094Virtual equivariant Grothendieck-Riemann-Roch formulaCharanya RaviBhamidi Sreedhar

pp. 1–63Iwasawa theory for symmetric squares of non-$p$-ordinary eigenformsKazim BüyükbodukAntonio LeiGuhan Venkat

pp. 65–101Frobenius gauges and a new theory of $p$-torsion sheaves in characteristic $p$Jean-Marc FontaineUwe Jannsen

pp. 125–148On the local regularity theory for the magnetohydrodynamic equationsDiego ChamorroFernando CortezJiao HeOscar Jarrín

pp. 199–230A complete description of the cohomological invariants of even genus hyperelliptic curvesAndrea Di LorenzoRoberto Pirisi

pp. 231–269Semistable reduction of modular curves associated with maximal subgroups in prime levelBas EdixhovenPierre Parent

pp. 271–335Essential crossed products for inverse semigroup actions: simplicity and pure infinitenessBartosz Kosma KwaśniewskiRalf Meyer

pp. 415–438The unirational components of the strata of genus $11$ curves with several pencils of degree $6$ in $M_{11}$Hanieh KeneshlouFrank-Olaf Schreyer

pp. 439–464Complete intersections of quadrics and complete intersections on Segre varieties with common specializationsChris PetersHans Sterk

pp. 523–536Algebraic connective $K$-theory of a Severi-Brauer variety with prescribed reduced behaviorEoin Mackall

pp. 537–559On lower bounds of the dimensions of multizeta values in positive characteristicYen-Tsung ChenRyotaro Harada

pp. 583–615On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theoryAlexander Sakhnovich

pp. 675–711A pairing on the cuspidal eigenvariety for $GSp_{2g}$ and the ramification locusJu-Feng Wu

pp. 743–793Solving the selection-recombination equation: ancestral lines and dual processesFrederic AlbertiEllen Baake

pp. 829–871Hearts for commutative Noetherian rings: torsion pairs and derived equivalencesSergio PavonJorge Vitória

pp. 947–979Transfer maps in generalized group homology via submanifoldsMartin NitscheThomas SchickRudolf Zeidler

pp. 1145–1185Relations between infinitesimal non-commutative cumulantsAdrián CelestinoKurusch Ebrahimi-FardDaniel Perales

pp. 1237–1269Some homological properties of category $O$. VIHankyung KoVolodymyr MazorchukRafael Mrden

pp. 1271–1274Erratum to: "Stability of equivariant vector bundles over toric varieties"Jyoti DasguptaArijit DeyBivas Khan

pp. 1329–1393Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(φ,Γ)$-modulesAnnie CarterKiran S. KedlayaGergely Zábrádi

pp. 1423–1464On the James and Hilton-Milnor splittings, and the metastable EHP sequenceSanath DevalapurkarPeter Haine

pp. 1465–1500Decompositions of derived categories of gerbes and of families of Brauer-Severi varietiesDaniel BerghOlaf M. Schnürer

pp. 1557–1599The "fundamental theorem" for the higher algebraic $K$-theory of strongly $Z$-graded ringsThomas Hüttemann

pp. 1629–1632Erratum to: "The minimal exact crossed product"Alcides BussSiegfried EchterhoffRufus Willett

pp. 1633–1677Compatibility of special value conjectures with the functional equation of zeta functionsMatthias FlachBaptiste Morin

pp. 1871–1888The maximal discrete extension of the Hermitian modular groupAloys KriegMartin RaumAnnalena Wernz

pp. 1889–1927Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension $4$John HarveyCatherine Searle

pp. 2005–2059Intermediate extensions and crystalline distribution algebrasChristine HuygheTobias Schmidt