Documenta MathematicaJournal der Deutschen Mathematiker-Vereinigung Short Title: Doc. Math. Publisher: Deutsche Mathematiker-Vereinigung, Berlin ISSN: 1431-0635; 1431-0643/e Online: https://ems.press/journals/dm/readhttps://www.elibm.org/DMhttps://www.emis.de/journals/DMJDMV/https://www.math.uni-bielefeld.de/documenta/index.htmlhttp://documenta.sagemath.org/ Comments: Journal; Indexed cover-to-cover; This journal is available open access. Documents Indexed: 1,395 Publications (since 1996) References Indexed: 454 Publications with 14,463 References. all top 5 Latest Issues 29, No. 5 (2024) 29, No. 4 (2024) 29, No. 3 (2024) 29, No. 2 (2024) 29, No. 1 (2024) 28, No. 6 (2023) 28, No. 5 (2023) 28, No. 4 (2023) 28, No. 3 (2023) 28, No. 2 (2023) 28, No. 1 (2023) 27 (2022) 26 (2021) 25 (2020) 24 (2019) Extra Vol., Mahler Selecta (2019) 23 (2018) 22 (2017) 21 (2016) 20 (2015) Extra Vol., Alexander S. 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Baton Rouge, March 26-30,2001 (2001) 5 (2000) 4 (1999) 3 (1998) Extra Vol., ICM Berlin 1998, Vol. I (1998) Extra Vol., ICM Berlin 1998, Vol. II (1998) Extra Vol., ICM Berlin 1998, Vol. III (1998) 2 (1997) 1 (1996) all top 5 Authors 30 Mahler, Kurt 12 Biswas, Indranil 7 Burns, David John 7 Hoffmann, Detlev W. 7 Meyer, Ralf 7 Tignol, Jean-Pierre 6 Bayer-Fluckiger, Eva 6 Grötschel, Martin 6 Matsumoto, Kengo 6 Zainoulline, Kirill 5 Bach, Volker 5 Chernousov, Vladimir I. 5 Flach, Matthias 5 Kahn, Bruno 5 Karpenko, Nikita Aleksandrovich 5 Levine, Marc Noel 5 Morin, Baptiste 5 Østvær, Paul Arne 5 Parimala, Raman 5 Reichstein, Zinovy B. 5 Siedentop, Heinz Karl Heinrich 5 Tabuada, Gonçalo 5 Van der Geer, Gerard 4 Bondarko, Mikhail Vladimirovich 4 Burgos Gil, José Ignacio 4 de Jong, Aise Johan 4 Déglise, Frédéric 4 Edixhoven, Sebastiaan Johan 4 Helffer, Bernard 4 Hida, Haruzo 4 Hoffmann, Norbert Peter 4 Hulek, Klaus 4 Knebusch, Manfred 4 Knobloch, Eberhard 4 Neeman, Amnon 4 Nistor, Victor 4 Panin, Ivan A. 4 Rehmann, Ulf 4 Schreyer, Frank-Olaf 4 Shimura, Goro 4 Stein, William A. 4 Vishik, Alexander 3 Amerik, Ekaterina Yu. 3 Balmer, Paul 3 Barbaroux, Jean-Marie 3 Bridges, Douglas Suth 3 Bugeaud, Yann 3 Clozel, Laurent 3 Coons, Michael 3 Cortiñas, Guillermo H. 3 Deninger, Christopher 3 Dundas, Bjørn Ian 3 Echterhoff, Siegfried 3 Engliš, Miroslav 3 Esnault, Hélène 3 Fakhruddin, Najmuddin 3 Fiedler, Bernold 3 Fischer, Gerd 3 Frank, Rupert L. 3 Friedlander, Eric Mark 3 Geisser, Thomas H. 3 Heller, Jeremiah 3 Higson, Nigel 3 Huber-Klawitter, Annette 3 Izhboldin, Oleg T. 3 Kanda, Ryo 3 Kedlaya, Kiran Sridhara 3 Keller, Bernhard 3 Knus, Max-Albert 3 Krause, Henning 3 Langer, Adrian 3 Malle, Gunter 3 Merkur’ev, Aleksandr Sergeevich 3 Müller-Stach, Stefan 3 Neshveyev, Sergey V. 3 Pesch, Hans Josef 3 Quick, Gereon 3 Ranestad, Kristian 3 Ray, Anwesh 3 Rieffel, Marc A. 3 Rognes, John 3 Röndigs, Oliver 3 Saito, Shuji 3 Schneider, Peter 3 Schrijver, Alexander 3 Ševera, Pavol 3 Sturmfels, Bernd 3 Sujatha, Ramdorai 3 Süss, Hendrik 3 Voineagu, Mircea Alexandru 3 Vougalter, Vitali 3 Wei, Fu-Tsun 3 Winkelmann, Jörg 3 Ziegler, Günter Matthias 3 Zink, Thomas 2 Achar, Pramod N. 2 Amiot, Claire 2 Anshelevich, Michael 2 Ardakov, Konstantin 2 Auel, Asher Natan ...and 1,639 more Authors all top 5 Fields 493 Algebraic geometry (14-XX) 409 Number theory (11-XX) 126 \(K\)-theory (19-XX) 120 Group theory and generalizations (20-XX) 120 Functional analysis (46-XX) 99 Associative rings and algebras (16-XX) 99 Category theory; homological algebra (18-XX) 98 Algebraic topology (55-XX) 85 Several complex variables and analytic spaces (32-XX) 80 Partial differential equations (35-XX) 65 Topological groups, Lie groups (22-XX) 63 Quantum theory (81-XX) 59 Differential geometry (53-XX) 57 Dynamical systems and ergodic theory (37-XX) 55 Commutative algebra (13-XX) 52 Combinatorics (05-XX) 48 Manifolds and cell complexes (57-XX) 48 Global analysis, analysis on manifolds (58-XX) 46 Probability theory and stochastic processes (60-XX) 45 Nonassociative rings and algebras (17-XX) 44 History and biography (01-XX) 44 Operator theory (47-XX) 38 Operations research, mathematical programming (90-XX) 37 Field theory and polynomials (12-XX) 32 Convex and discrete geometry (52-XX) 23 Functions of a complex variable (30-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Numerical analysis (65-XX) 19 Computer science (68-XX) 18 General and overarching topics; collections (00-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Ordinary differential equations (34-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Mathematical logic and foundations (03-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Geometry (51-XX) 12 Biology and other natural sciences (92-XX) 11 Abstract harmonic analysis (43-XX) 11 General topology (54-XX) 10 Measure and integration (28-XX) 10 Mechanics of particles and systems (70-XX) 10 Fluid mechanics (76-XX) 9 Special functions (33-XX) 8 Statistics (62-XX) 7 Potential theory (31-XX) 7 Information and communication theory, circuits (94-XX) 6 Real functions (26-XX) 6 Integral transforms, operational calculus (44-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General algebraic systems (08-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,118 Publications have been cited 10,834 times in 9,139 Documents Cited by ▼ Year ▼ The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning). Zbl 1286.57019 Agol, Ian 297 2013 On triangulated orbit categories. Zbl 1086.18006 Keller, Bernhard 257 2005 A classification theorem for nuclear purely infinite simple \(C^*\)-algebras. Zbl 0943.46037 Phillips, N. Christopher 184 2000 Faces of generalized permutohedra. Zbl 1167.05005 Postnikov, Alex; Reiner, Victor; Williams, Lauren 164 2008 Tropical convexity. Zbl 1054.52004 Develin, Mike; Sturmfels, Bernd 153 2004 \(\mathbb{A}^1\)-homotopy theory. Zbl 0907.19002 Voevodsky, Vladimir 128 1998 Chow groups with coefficients. Zbl 0864.14002 Rost, Markus 116 1996 Metrics on state spaces. Zbl 0945.46052 Rieffel, Marc A. 107 1999 Motivic symmetric spectra. Zbl 0969.19004 Jardine, J. F. 105 2000 Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras. Zbl 1350.16010 Koenig, Steffen; Yang, Dong 92 2014 New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform. Zbl 0947.42024 Wilczok, Elke 86 2000 Metrics on states from actions of compact groups. Zbl 0993.46043 Rieffel, Marc A. 85 1998 Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Zbl 1083.58010 Michor, Peter W.; Mumford, David 85 2005 Group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1031.46082 Rieffel, Marc A. 78 2002 Applied mathematics meets signal processing. Zbl 1125.94306 Mallat, Stéphane 74 1998 Tamagawa numbers for motives with (non-commutative) coefficients. Zbl 1052.11077 Burns, D.; Flach, M. 69 2001 Lax colimits and free fibrations in \(\infty\)-categories. Zbl 1390.18021 Gepner, David; Haugseng, Rune; Nikolaus, Thomas 65 2017 Comparison of abelian categories recollements. Zbl 1060.18008 Franjou, Vincent; Pirashvili, Teimuraz 64 2004 Irreducible modules over the Virasoro algebra. Zbl 1250.17037 Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming 62 2011 On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem. Zbl 1024.46018 Gong, Guihua 61 2002 Acyclicity versus total acyclicity for complexes over noetherian rings. Zbl 1119.13014 Iyengar, Srikanth; Krause, Henning 59 2006 Essential dimension: A functorial point of view (after A. Merkurjev). Zbl 1101.14324 Berhuy, Grégory; Favi, Giordano 58 2003 Geometry and analytic theory of Frobenius manifolds. Zbl 0916.32018 Dubrovin, Boris 56 1998 Invariants in contact topology. Zbl 0913.53010 Eliashberg, Yakov 55 1998 On the solution of traveling salesman problems. Zbl 0904.90165 Applegate, David; Bixby, Robert; Chvátal, Vašek; Cook, William 53 1998 Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants. Zbl 1123.46047 Collins, Benoît; Mingo, James A.; Śniady, Piotr; Speicher, Roland 48 2007 A brief history of linear and mixed-integer programming computation. Zbl 1270.90003 Bixby, Robert E. 48 2012 On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051 Taylor, Richard 47 2007 Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property \(T\). Zbl 0954.46037 Popa, Sorin 43 1999 Subproduct systems. Zbl 1189.46056 Shalit, Orr; Solel, Baruch 43 2009 Toric hyperkähler varieties. Zbl 1029.53054 Hausel, Tamás; Sturmfels, Bernd 43 2002 Cancellation theorem. Zbl 1202.14022 Voevodsky, Vladimir 42 2010 Some open problems in dynamical systems. Zbl 0910.58036 Herman, Michael 40 1998 Fuss-Catalan numbers in noncommutative probability. Zbl 1213.44004 Mlotkowski, Wojciech 40 2010 Special subvarieties arising from families of cyclic covers of the projective line. Zbl 1236.11056 Moonen, Ben 39 2010 The Euler characteristic of a category. Zbl 1139.18009 Leinster, Tom 38 2008 Integral mixed motives in equal characteristic. Zbl 1357.19004 Cisinski, Denis-Charles; Déglise, Frédéric 38 2015 Lifting tropical intersections. 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Zbl 1092.14504 Jannsen, Uwe; Saito, Shuji 26 2003 Partition-dependent stochastic measures and \(q\)-deformed cumulants. Zbl 1010.46064 Anshelevich, Michael 26 2001 \(K\)-theory of log-schemes. I. Zbl 1159.19003 Nizioł, Wiesława 26 2008 Ramification of local fields with imperfect residue fields. II. Zbl 1127.11349 Abbes, Ahmed; Saito, Takeshi 25 2003 The additive dilogarithm. Zbl 1052.11048 Bloch, Spencer; Esnault, Hélène 25 2003 \(J_1(p)\) has connected fibers. Zbl 1101.14311 Conrad, Brian; Edixhoven, Bas; Stein, William 25 2003 Enriched functors and stable homotopy theory. Zbl 1040.55002 Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne 25 2003 The universal Lie \(\infty\)-algebroid of a singular foliation. Zbl 1453.53033 Laurent-Gengoux, Camille; Lavau, Sylvain; Strobl, Thomas 25 2020 Equivariant oriented cohomology of flag varieties. Zbl 1351.14014 Calmès, Baptiste; Zainoulline, Kirill; Zhong, Changlong 25 2015 The local cohomology of the Jacobian ring. 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Zbl 1477.11114 Wu, Zhiyou 1 2021 ...and 1018 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,856 Authors 36 Vougalter, Vitali 34 Lei, Antonio 27 Nistor, Victor 26 Merkur’ev, Aleksandr Sergeevich 25 Karpenko, Nikita Aleksandrovich 25 Østvær, Paul Arne 24 Lin, Huaxin 24 Sims, Aidan 23 Dimca, Alexandru 22 Gaubert, Stéphane 22 Latrémolière, Frédéric 22 Panin, Ivan A. 21 Laterveer, Robert 21 Lim, Meng Fai 21 Tabuada, Gonçalo 20 Volpert, Vitaly A. 19 Bauer, Martin 19 Bondarko, Mikhail Vladimirovich 19 Meyer, Ralf 18 Krishna, Amalendu 18 Reichstein, Zinovy B. 17 Biswas, Indranil 17 Levine, Marc Noel 16 Buan, Aslak Bakke 16 Elliott, George A. 16 Gille, Stefan G. 16 Saito, Shuji 15 Burns, David John 15 Eilers, Søren 15 Fasel, Jean 15 Gee, Toby 15 Mejjaoli, Hatem 15 Shah, Firdous Ahmad 15 Webster, Ben 15 Zainoulline, Kirill 15 Zhao, Kaiming 15 Zhu, Bin 14 Aguilar, Konrad 14 Asok, Aravind 14 Déglise, Frédéric 14 Guo, Xiangqian 14 Mazorchuk, Volodymyr 14 Neshveyev, Sergey V. 14 Pilaud, Vincent 14 Röndigs, Oliver 14 Sujatha, Ramdorai 14 Willett, Rufus 14 Yu, Chia-Fu 13 Dotsenko, Vladimir Viktorovich 13 Fu, Changjian 13 Haugseng, Rune 13 Hida, Haruzo 13 Izhakian, Zur 13 Lu, Ming 13 Marsh, Bethany Rose 13 Matsumoto, Kengo 13 Reiten, Idun 13 Schiffler, Ralf 13 Shalit, Orr Moshe 13 Wei, Fu-Tsun 13 Wu, Wei 12 Bachmann, Tom 12 Büyükboduk, Kâzim 12 Carlsen, Toke Meier 12 Erdős, László 12 Frediani, Paola 12 Garkusha, Grigory 12 Gong, Guihua 12 Hill, Michael A. 12 Iyama, Osamu 12 Katsoulis, Elias George 12 Kedlaya, Kiran Sridhara 12 Knebusch, Manfred 12 Penneys, David 12 Psaroudakis, Chrysostomos 12 Ruiz, Efren 12 Séré, Eric 12 Thomas, Hugh Ross 12 Wickelgren, Kirsten G. 12 Zhang, Pu 11 Binda, Federico 11 Buss, Alcides 11 Calegari, Frank 11 Chen, Xiaowu 11 Echterhoff, Siegfried 11 Esteban, Maria J. 11 Fayad, Bassam R. 11 Friedl, Stefan 11 Groves, Daniel P. 11 Hagen, Mark F. 11 Jones, Corey 11 Jørgensen, Peter Bjørn 11 Kahn, Bruno 11 Kakariadis, Evgenios T. A. 11 Keller, Bernhard 11 Kurihara, Masato 11 Nickel, Andreas 11 Quadrelli, Claudio 11 Ray, Jishnu 11 Rennie, Adam ...and 8,756 more Authors all top 5 Cited in 682 Journals 408 Advances in Mathematics 317 Journal of Algebra 249 Transactions of the American Mathematical Society 210 Mathematische Zeitschrift 197 Journal of Functional Analysis 197 Journal of Pure and Applied Algebra 158 Mathematische Annalen 148 Documenta Mathematica 145 Journal of Number Theory 139 Communications in Mathematical Physics 128 Proceedings of the American Mathematical Society 124 Inventiones Mathematicae 115 Manuscripta Mathematica 106 Compositio Mathematica 97 Duke Mathematical Journal 92 Journal of the London Mathematical Society. Second Series 92 Selecta Mathematica. 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