Edit Profile (opens in new tab) Görtz, Ulrich Co-Author Distance Author ID: gortz.ulrich Published as: Görtz, Ulrich; Görtz, U. External Links: MGP Documents Indexed: 36 Publications since 1998, including 4 Books and 1 Additional arXiv Preprint 4 Contributions as Editor Reviewing Activity: 47 Reviews Co-Authors: 12 Co-Authors with 23 Joint Publications 172 Co-Co-Authors all top 5 Co-Authors 17 single-authored 8 He, Xuhua 7 Wedhorn, Torsten 4 Fargues, Laurent 4 Haines, Thomas J. 4 Viehmann, Eva 3 Nie, Sian 2 Kottwitz, Robert Edward 2 Reuman, Daniel C. 2 Yu, Chia-Fu 1 Bosch, Siegfried 1 Hoeve, Maarten 1 Rapoport, Michael all top 5 Serials 4 Oberwolfach Reports 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Journal of the Institute of Mathematics of Jussieu 2 Cambridge Journal of Mathematics 2 Springer Studium Mathematik – Master 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Journal of Algebraic Combinatorics 1 Documenta Mathematica 1 Representation Theory 1 Peking Mathematical Journal all top 5 Fields 36 Algebraic geometry (14-XX) 25 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 6 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 2 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 560 times in 374 Documents Cited by ▼ Year ▼ Algebraic geometry I. Schemes. With examples and exercises. Zbl 1213.14001 Görtz, Ulrich; Wedhorn, Torsten 170 2010 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526 Görtz, Ulrich 49 2001 On the flatness of local models for the symplectic group. Zbl 1051.14027 Görtz, Ulrich 36 2003 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2010 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2006 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155 Görtz, Ulrich; He, Xuhua; Nie, Sian 28 2019 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001 Görtz, Ulrich; Wedhorn, Torsten 24 2020 Affine Springer fibers and affine Deligne-Lusztig varieties. Zbl 1210.22015 Görtz, Ulrich 23 2010 Basic loci of Coxeter type in Shimura varieties. Zbl 1350.14026 Görtz, Ulrich; He, Xuhua 19 2015 \(\mathbf{P}\)-alcoves and nonemptiness of affine Deligne-Lusztig varieties. (\(\mathbf{P}\)-alcôves et vacuité des variétés de Deligne-Lusztig affines.) Zbl 1326.14122 Görtz, Ulrich; He, Xuhua; Nie, Sian 19 2015 Dimensions of affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1248.20048 Görtz, Ulrich; He, Xuhua 16 2010 The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties. Zbl 1157.14013 Görtz, Ulrich; Haines, Thomas J. 15 2007 Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties. Zbl 1191.14028 Görtz, Ulrich; Yu, Chia-Fu 13 2010 The supersingular locus in Siegel modular varieties with Iwahori level structure. Zbl 1257.14019 Görtz, Ulrich; Yu, Chia-Fu 11 2012 Alcove walks and nearby cycles on affine flag manifolds. Zbl 1152.20006 Görtz, Ulrich 11 2007 Coherent modules and their descent on relative rigid spaces. Zbl 0884.14009 Bosch, Siegfried; Görtz, Ulrich 9 1998 Topological flatness of local models in the ramified case. Zbl 1085.14022 Görtz, Ulrich 8 2005 Erratum to: “Basic loci of Coxeter type in Shimura varieties”. Zbl 1408.14091 Görtz, Ulrich; He, Xuhua 7 2018 On the connectedness of Deligne-Lusztig varieties. Zbl 1171.14031 Görtz, Ulrich 6 2009 Ekedahl-Oort strata and Kottwitz-Rapoport strata. Zbl 1257.14018 Görtz, Ulrich; Hoeve, Maarten 5 2012 Computing the alternating trace of Frobenius on the sheaves of nearby cycles on local models for \(\text{GL}_{4}\) and \(\text{GL}_{5}\). Zbl 1107.14018 Görtz, Ulrich 5 2004 Extremal cases of Rapoport-Zink spaces. Zbl 1498.14059 Görtz, Ulrich; He, Xuhua; Rapoport, Michael 3 2022 Stratifications of affine Deligne-Lusztig varieties. Zbl 1470.11165 Görtz, Ulrich 3 2019 A sum of representation numbers. Zbl 1157.14310 Görtz, Ulrich 2 2007 Arithmetic intersection numbers. Zbl 1223.11074 Görtz, Ulrich 2 2007 Classics revisited: Éléments de géométrie algébrique. Zbl 1426.14001 Görtz, Ulrich 2 2018 Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds. Zbl 1112.14056 Görtz, Ulrich; Haines, Thomas J. 2 2006 Extremal cases of Rapoport-Zink spaces. Zbl 1498.14059 Görtz, Ulrich; He, Xuhua; Rapoport, Michael 3 2022 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001 Görtz, Ulrich; Wedhorn, Torsten 24 2020 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155 Görtz, Ulrich; He, Xuhua; Nie, Sian 28 2019 Stratifications of affine Deligne-Lusztig varieties. Zbl 1470.11165 Görtz, Ulrich 3 2019 Erratum to: “Basic loci of Coxeter type in Shimura varieties”. Zbl 1408.14091 Görtz, Ulrich; He, Xuhua 7 2018 Classics revisited: Éléments de géométrie algébrique. Zbl 1426.14001 Görtz, Ulrich 2 2018 Basic loci of Coxeter type in Shimura varieties. Zbl 1350.14026 Görtz, Ulrich; He, Xuhua 19 2015 \(\mathbf{P}\)-alcoves and nonemptiness of affine Deligne-Lusztig varieties. (\(\mathbf{P}\)-alcôves et vacuité des variétés de Deligne-Lusztig affines.) Zbl 1326.14122 Görtz, Ulrich; He, Xuhua; Nie, Sian 19 2015 The supersingular locus in Siegel modular varieties with Iwahori level structure. Zbl 1257.14019 Görtz, Ulrich; Yu, Chia-Fu 11 2012 Ekedahl-Oort strata and Kottwitz-Rapoport strata. Zbl 1257.14018 Görtz, Ulrich; Hoeve, Maarten 5 2012 Algebraic geometry I. Schemes. With examples and exercises. Zbl 1213.14001 Görtz, Ulrich; Wedhorn, Torsten 170 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2010 Affine Springer fibers and affine Deligne-Lusztig varieties. Zbl 1210.22015 Görtz, Ulrich 23 2010 Dimensions of affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1248.20048 Görtz, Ulrich; He, Xuhua 16 2010 Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties. Zbl 1191.14028 Görtz, Ulrich; Yu, Chia-Fu 13 2010 On the connectedness of Deligne-Lusztig varieties. Zbl 1171.14031 Görtz, Ulrich 6 2009 The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties. Zbl 1157.14013 Görtz, Ulrich; Haines, Thomas J. 15 2007 Alcove walks and nearby cycles on affine flag manifolds. Zbl 1152.20006 Görtz, Ulrich 11 2007 A sum of representation numbers. Zbl 1157.14310 Görtz, Ulrich 2 2007 Arithmetic intersection numbers. Zbl 1223.11074 Görtz, Ulrich 2 2007 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2006 Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds. Zbl 1112.14056 Görtz, Ulrich; Haines, Thomas J. 2 2006 Topological flatness of local models in the ramified case. Zbl 1085.14022 Görtz, Ulrich 8 2005 Computing the alternating trace of Frobenius on the sheaves of nearby cycles on local models for \(\text{GL}_{4}\) and \(\text{GL}_{5}\). Zbl 1107.14018 Görtz, Ulrich 5 2004 On the flatness of local models for the symplectic group. Zbl 1051.14027 Görtz, Ulrich 36 2003 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526 Görtz, Ulrich 49 2001 Coherent modules and their descent on relative rigid spaces. Zbl 0884.14009 Bosch, Siegfried; Görtz, Ulrich 9 1998 all cited Publications top 5 cited Publications all top 5 Cited by 399 Authors 17 Görtz, Ulrich 16 He, Xuhua 16 Viehmann, Eva 11 Nie, Sian 10 Haines, Thomas J. 10 Rapoport, Michael 8 Cid-Ruiz, Yairon 7 Pappas, Georgios 6 Krishna, Amalendu 6 Milićević, Elizabeth T. 6 Smithling, Brian D. 5 Jarden, Moshe 5 Schwer, Petra N. 5 Yu, Chia-Fu 4 Binda, Federico 4 Chen, Miaofen 4 Hamacher, Paul 4 Isaev, Alexander 4 Keller, Timo 4 Meier, Lennart 4 Montaño, Jonathan 4 Richarz, Timo 4 Riche, Simon 4 Shen, Xu 4 Stroh, Benoît 4 Wedhorn, Torsten 3 Ivanov, Alexander B. 3 Lourenço, João Nuno P. 3 Lunts, Valery A. 3 Muthiah, Dinakar 3 Pilloni, Vincent 3 Rapinchuk, Andrei S. 3 Rapinchuk, Igor A. 3 Razon, Aharon 3 Schnürer, Olaf M. 3 Šťovíček, Jan 3 Wang, Haining 3 Weekes, Alex 3 Williamson, Geordie 3 Zanchetta, Ferdinando 3 Zhang, Wei 3 Zhu, Xinwen 2 Achar, Pramod N. 2 Achter, Jeffrey D. 2 Alexandrou, Theodosis 2 Aqalmoun, Mohamed 2 Beazley, Elizabeth T. 2 Brion, Michel 2 Buczyński, Jarosław 2 Cass, Robert 2 Chen, Ling 2 Ciappara, Joshua 2 Conrad, Brian 2 Dahlhausen, Christian 2 Datta, Rankeya 2 de Cataldo, Mark Andrea A. 2 de Shalit, Ehud 2 Dill, Gabriel Andreas 2 Farnsteiner, Rolf 2 Gao, Ziyang 2 Geyer, Wulf-Dieter 2 Gille, Philippe 2 Goren, Eyal Z. 2 Guilhot, Jérémie 2 Habegger, Philipp 2 Halevi, Yatir 2 Hartl, Urs T. 2 Hartmann, Annabelle 2 Hayashi, Takuma 2 Helm, David 2 Javanpeykar, Ariyan 2 Jelisiejew, Joachim 2 Kamnitzer, Joel 2 Kebekus, Stefan 2 Kisin, Mark 2 Lan, Kai-Wen 2 Levin, Brandon 2 Li, Binglin 2 Li, Chao 2 Mańdziuk, Tomasz 2 Mathew, Akhil 2 Mathur, Siddharth 2 Mohammadi, Fatemeh 2 Muratore, Giosuè Emanuele 2 Ngô Bao Châu 2 Núñez, Pedro 2 Orr, Daniel 2 Osserman, Brian 2 Ozornova, Viktoriya 2 Pérez, Marco A. 2 Rathore, Jitendra 2 Reede, Fabian 2 Rostami, Sean 2 Schmitt, Alexander H. W. 2 Shimada, Ryosuke 2 Shimomoto, Kazuma 2 Vignéras, Marie-France 2 Xu, Daxin 2 Yang, Zhongwei 2 Yun, Zhiwei ...and 299 more Authors all top 5 Cited in 110 Serials 30 Journal of Algebra 21 Compositio Mathematica 17 Advances in Mathematics 15 Manuscripta Mathematica 14 Annales de l’Institut Fourier 13 Mathematische Annalen 13 Mathematische Zeitschrift 12 Journal of Pure and Applied Algebra 10 Duke Mathematical Journal 9 Journal für die Reine und Angewandte Mathematik 9 Transactions of the American Mathematical Society 9 Journal of the Institute of Mathematics of Jussieu 7 Journal of Algebraic Geometry 7 Transformation Groups 7 Forum of Mathematics, Sigma 6 Inventiones Mathematicae 6 Documenta Mathematica 6 Annals of Mathematics. Second Series 5 Communications in Algebra 5 Journal of Number Theory 5 Michigan Mathematical Journal 5 Selecta Mathematica. New Series 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the London Mathematical Society. Third Series 4 Journal of the American Mathematical Society 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Beiträge zur Algebra und Geometrie 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin of the London Mathematical Society 3 Canadian Journal of Mathematics 3 Geometriae Dedicata 3 Representation Theory 3 International Journal of Number Theory 3 Algebra & Number Theory 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Publications Mathématiques 2 Mathematische Nachrichten 2 Nagoya Mathematical Journal 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 2 L’Enseignement Mathématique. 2e Série 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Bulletin des Sciences Mathématiques 2 Journal of the European Mathematical Society (JEMS) 2 Foundations of Computational Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Oberwolfach Reports 2 Journal of Noncommutative Geometry 2 Annales Mathématiques du Québec 2 Épijournal de Géométrie Algébrique. EPIGA 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 International Journal of Game Theory 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 The New York Journal of Mathematics 1 The Ramanujan Journal 1 Positivity 1 Taiwanese Journal of Mathematics 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Logic 1 Journal of High Energy Physics 1 Advances in Geometry 1 Journal of the Australian Mathematical Society 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Innovations in Incidence Geometry 1 Chebyshevskiĭ Sbornik 1 Journal of Mathematical Cryptology 1 Journal of Topology 1 São Paulo Journal of Mathematical Sciences ...and 10 more Serials all top 5 Cited in 33 Fields 313 Algebraic geometry (14-XX) 139 Number theory (11-XX) 98 Group theory and generalizations (20-XX) 40 Commutative algebra (13-XX) 22 Associative rings and algebras (16-XX) 18 Nonassociative rings and algebras (17-XX) 17 Combinatorics (05-XX) 17 \(K\)-theory (19-XX) 16 Category theory; homological algebra (18-XX) 15 Topological groups, Lie groups (22-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Field theory and polynomials (12-XX) 7 Differential geometry (53-XX) 7 Algebraic topology (55-XX) 4 Mathematical logic and foundations (03-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year