JournalsdmVol. 19Volume 19 (2014) Documenta MathematicaOApp. 1–62Eisenstein series and the trace formula for $GL(2)$ over a function fieldYuval Z. Flickerpp. 63–101The perturbed Maxwell operator as pseudodifferential operatorGiuseppe De NittisMax Leinpp. 103–120Exact criterion for global existence and blow up to a degenerate Keller-Segel systemLi ChenJinhuan Wangpp. 121–139$E_{n}$-regularity implies $E_{n−1}$-regularityGonçalo Tabuadapp. 141–193An equivariant Lefschetz fixed-point formula for correspondencesIvo Dell'AmbrogioHeath EmersonRalf Meyerpp. 195–208An application of Hermitian K-theory: sums-of-squares formulasHeng Xiepp. 209–246A new approach to the geometric Satake equivalenceTimo Richarzpp. 247–284On quadratic Diophantine equations in four variables and orders associated with latticesManabu Muratapp. 285–312Counting polynomials for linear codes, hyperplane arrangements, and matroidsWilhelm PleskenThomas Bächlerpp. 313–331The first $L_{2}$-Betti number and approximation in arbitrary characteristicMikhail ErshovWolfgang Lückpp. 333–380A global quantum duality principle for subgroups and homogeneous spacesNicola CiccoliFabio Gavarinipp. 381–402On the integrality of modular symbols and Kato's Euler system for elliptic curvesChristian Wuthrichpp. 403–438Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebrasSteffen KoenigDong Yangpp. 439–455Trace class operators, regulators, and assembly maps in $K$-theoryGuillermo CortiñasGisela Tartagliapp. 457–507The Picard group of the compactified universal JacobianMargarida MeloFilippo Vivianipp. 509–540Semistable modules over Lie algebroids in positive characteristicAdrian Langerpp. 541–565The local cohomology of the Jacobian ringEdoardo Sernesipp. 567–599Big de Rham-Witt cohomology: basic resultsAndre Chatzistamatioupp. 601–627A conductor formula for completed group algebrasAndreas Nickelpp. 629–645Partial classification of the Baumslag-Solitar group von Neumann algebrasNiels MeesschaertStefaan Vaespp. 647–671The Jordan-Hölder series of the locally analytic Steinberg representationSascha OrlikBenjamin Schraenpp. 673–687Torsion in the crystalline cohomology of singular varietiesBhargav Bhattpp. 689–707On Galois representations of weight oneGabor Wiesepp. 709–767Special values of anticyclotomic Rankin–Selberg $L$-functionsMing-Lun Hsiehpp. 769–799Characterisation of the Berkovich spectrum of the Banach algebra of bounded continuous functionsTomoki Miharapp. 801–814Hyperbolic manifolds of small volumeMikhail BelolipetskyVincent Emerypp. 815–830An optimal extension theorem for 1-forms and the Lipman–Zariski conjecturePatrick GrafSándor J. Kovácspp. 831–866Twisted $C_{∗}$-algebras associated to finitely aligned higher-rank graphsAidan SimsBenjamin WhiteheadMichael F. Whittakerpp. 867–903Prym-Tjurin constructions on cubic hypersurfacesMingmin Shenpp. 905–940Fano threefolds with 2-torus actionHendrik Süßpp. 941–992Pulling apart 2-spheres in 4-manifoldsRob SchneidermanPeter Teichnerpp. 993–1001Corrigendum to: “Andreotti-Mayer loci and the Schottky problem” [cf. Documenta Math. 13 (2008) 398–440]Ciro CilibertoGerard van der Geerpp. 1003–1016Formality of derived intersectionsJulien Grivauxpp. 1017–1023A remark on the gradient mapL. BiliottiA. GhigiP. Heinznerpp. 1025–1060The pullbacks of principal coactionsPiotr M. HajacElmar Wagnerpp. 1061–1084Motivic homology of semiabelian varietiesRin Sugiyamapp. 1085–1103Szpiro's small points conjecture for cyclic coversAriyan JavanpeykarRafael von Känelpp. 1105–1139Categorical duality for Yetter-Drinfeld algebrasSergey NeshveyevMakoto Yamashitapp. 1141–1153Existence of stationary pulses for nonlocal reaction-diffusion equationsVitaly VolpertVitali Vougalterpp. 1155–1206Cluster equivalence and graded derived equivalence.Claire AmiotSteffen Oppermannpp. 1207–1269Algebraic Kasparov $K$-theory. IGrigory Garkushapp. 1271–1290The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2Paul G. GoerssHans-Werner HennMark Mahowaldpp. 1291–1316On the structure of Witt–Burnside rings attached to pro-$p$ groupsLance Edward Millerpp. 1317–1366Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspacesAlexander AlldridgeWolfgang Palzerpp. 1367–1442Martingale inequalities and operator space structures on $L_{p}$Gilles Pisier

pp. 103–120Exact criterion for global existence and blow up to a degenerate Keller-Segel systemLi ChenJinhuan Wang

pp. 141–193An equivariant Lefschetz fixed-point formula for correspondencesIvo Dell'AmbrogioHeath EmersonRalf Meyer

pp. 247–284On quadratic Diophantine equations in four variables and orders associated with latticesManabu Murata

pp. 285–312Counting polynomials for linear codes, hyperplane arrangements, and matroidsWilhelm PleskenThomas Bächler

pp. 313–331The first $L_{2}$-Betti number and approximation in arbitrary characteristicMikhail ErshovWolfgang Lück

pp. 333–380A global quantum duality principle for subgroups and homogeneous spacesNicola CiccoliFabio Gavarini

pp. 381–402On the integrality of modular symbols and Kato's Euler system for elliptic curvesChristian Wuthrich

pp. 403–438Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebrasSteffen KoenigDong Yang

pp. 439–455Trace class operators, regulators, and assembly maps in $K$-theoryGuillermo CortiñasGisela Tartaglia

pp. 629–645Partial classification of the Baumslag-Solitar group von Neumann algebrasNiels MeesschaertStefaan Vaes

pp. 647–671The Jordan-Hölder series of the locally analytic Steinberg representationSascha OrlikBenjamin Schraen

pp. 769–799Characterisation of the Berkovich spectrum of the Banach algebra of bounded continuous functionsTomoki Mihara

pp. 815–830An optimal extension theorem for 1-forms and the Lipman–Zariski conjecturePatrick GrafSándor J. Kovács

pp. 831–866Twisted $C_{∗}$-algebras associated to finitely aligned higher-rank graphsAidan SimsBenjamin WhiteheadMichael F. Whittaker

pp. 993–1001Corrigendum to: “Andreotti-Mayer loci and the Schottky problem” [cf. Documenta Math. 13 (2008) 398–440]Ciro CilibertoGerard van der Geer

pp. 1141–1153Existence of stationary pulses for nonlocal reaction-diffusion equationsVitaly VolpertVitali Vougalter

pp. 1271–1290The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2Paul G. GoerssHans-Werner HennMark Mahowald

pp. 1317–1366Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspacesAlexander AlldridgeWolfgang Palzer