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 170 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 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 1 Springer Studium Mathematik – Master 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 508 times in 331 Documents Cited by ▼ Year ▼ Algebraic geometry I. Schemes. With examples and exercises. Zbl 1213.14001 Görtz, Ulrich; Wedhorn, Torsten 144 2010 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526 Görtz, Ulrich 46 2001 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 34 2006 On the flatness of local models for the symplectic group. Zbl 1051.14027 Görtz, Ulrich 34 2003 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 2010 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155 Görtz, Ulrich; He, Xuhua; Nie, Sian 26 2019 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 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001 Görtz, Ulrich; Wedhorn, Torsten 17 2020 \(\mathbf{P}\)-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 17 2015 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 Dimensions of affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1248.20048 Görtz, Ulrich; He, Xuhua 14 2010 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 10 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 Ekedahl-Oort strata and Kottwitz-Rapoport strata. Zbl 1257.14018 Görtz, Ulrich; Hoeve, Maarten 5 2012 On the connectedness of Deligne-Lusztig varieties. Zbl 1171.14031 Görtz, Ulrich 5 2009 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 Stratifications of affine Deligne-Lusztig varieties. Zbl 1470.11165 Görtz, Ulrich 3 2019 Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds. Zbl 1112.14056 Görtz, Ulrich; Haines, Thomas J. 2 2006 A sum of representation numbers. Zbl 1157.14310 Görtz, Ulrich 2 2007 Arithmetic intersection numbers. Zbl 1223.11074 Görtz, Ulrich 2 2007 Extremal cases of Rapoport-Zink spaces. Zbl 1498.14059 Görtz, Ulrich; He, Xuhua; Rapoport, Michael 2 2022 Classics revisited: Éléments de géométrie algébrique. Zbl 1426.14001 Görtz, Ulrich 2 2018 Extremal cases of Rapoport-Zink spaces. Zbl 1498.14059 Görtz, Ulrich; He, Xuhua; Rapoport, Michael 2 2022 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001 Görtz, Ulrich; Wedhorn, Torsten 17 2020 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155 Görtz, Ulrich; He, Xuhua; Nie, Sian 26 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 17 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 144 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 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 14 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 5 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 10 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. 34 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 34 2003 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526 Görtz, Ulrich 46 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 347 Authors 17 Görtz, Ulrich 16 He, Xuhua 15 Viehmann, Eva 11 Nie, Sian 9 Haines, Thomas J. 9 Rapoport, Michael 7 Pappas, Georgios 6 Cid-Ruiz, Yairon 6 Smithling, Brian D. 5 Milićević, Elizabeth T. 5 Yu, Chia-Fu 4 Binda, Federico 4 Chen, Miaofen 4 Hamacher, Paul 4 Isaev, Alexander 4 Jarden, Moshe 4 Keller, Timo 4 Krishna, Amalendu 4 Montaño, Jonathan 4 Riche, Simon 4 Schwer, Petra N. 4 Shen, Xu 4 Stroh, Benoît 4 Wedhorn, Torsten 3 Ivanov, Alexander B. 3 Lunts, Valery A. 3 Meier, Lennart 3 Pilloni, Vincent 3 Richarz, Timo 3 Schnürer, Olaf M. 3 Šťovíček, Jan 3 Wang, Haining 3 Williamson, Geordie 3 Zhu, Xinwen 2 Achar, Pramod N. 2 Achter, Jeffrey D. 2 Alexandrou, Theodosis 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 Gao, Ziyang 2 Geyer, Wulf-Dieter 2 Gille, Philippe 2 Goren, Eyal Z. 2 Habegger, Philipp 2 Halevi, Yatir 2 Hartl, Urs T. 2 Hartmann, Annabelle 2 Helm, David 2 Javanpeykar, Ariyan 2 Jelisiejew, Joachim 2 Kebekus, Stefan 2 Kisin, Mark 2 Lan, Kai-Wen 2 Levin, Brandon 2 Li, Binglin 2 Mańdziuk, Tomasz 2 Mathur, Siddharth 2 Muratore, Giosuè Emanuele 2 Muthiah, Dinakar 2 Ngô Bao Châu 2 Núñez, Pedro 2 Orr, Daniel 2 Osserman, Brian 2 Ozornova, Viktoriya 2 Pérez, Marco A. 2 Rapinchuk, Andrei S. 2 Rapinchuk, Igor A. 2 Razon, Aharon 2 Reede, Fabian 2 Rostami, Sean 2 Shimada, Ryosuke 2 Vignéras, Marie-France 2 Weekes, Alex 2 Xu, Daxin 2 Yang, Zhongwei 2 Yun, Zhiwei 2 Zanchetta, Ferdinando 2 Zhang, Wei 2 Zhou, Rong 1 Achet, Raphaël 1 Albert, Mario 1 Alper, Jarod 1 Anas Hahn, Marvin 1 Angeleri Hügel, Lidia 1 Antei, Marco 1 Antieau, Benjamin 1 Arzdorf, Kai 1 Barakat, Mohamed 1 Bary-Soroker, Lior 1 Battiston, Giulia ...and 247 more Authors all top 5 Cited in 97 Serials 25 Journal of Algebra 21 Compositio Mathematica 17 Advances in Mathematics 14 Annales de l’Institut Fourier 13 Mathematische Annalen 12 Manuscripta Mathematica 12 Mathematische Zeitschrift 9 Journal of Pure and Applied Algebra 9 Journal für die Reine und Angewandte Mathematik 9 Transactions of the American Mathematical Society 9 Journal of the Institute of Mathematics of Jussieu 8 Duke Mathematical Journal 7 Journal of Algebraic Geometry 7 Forum of Mathematics, Sigma 6 Inventiones Mathematicae 6 Documenta Mathematica 6 Annals of Mathematics. Second Series 5 Michigan Mathematical Journal 5 Transformation Groups 4 Journal of the London Mathematical Society. Second Series 4 Journal of Number Theory 4 Journal of the American Mathematical Society 4 Selecta Mathematica. New Series 3 Communications in Algebra 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Beiträge zur Algebra und Geometrie 3 Geometriae Dedicata 3 Representation Theory 3 Algebra & Number Theory 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Publications Mathématiques 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 Oberwolfach Reports 2 International Journal of Number Theory 2 Journal of Noncommutative Geometry 2 Annales Mathématiques du Québec 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 Kodai Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Korean Mathematical Society 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 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 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 Mediterranean Journal of Mathematics 1 Innovations in Incidence Geometry 1 Chebyshevskiĭ Sbornik 1 Journal of Mathematical Cryptology 1 São Paulo Journal of Mathematical Sciences 1 Journal of Singularities 1 Forum of Mathematics, Pi 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Algebraic Combinatorics 1 Tunisian Journal of Mathematics 1 Peking Mathematical Journal all top 5 Cited in 32 Fields 272 Algebraic geometry (14-XX) 129 Number theory (11-XX) 85 Group theory and generalizations (20-XX) 32 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 16 Combinatorics (05-XX) 15 \(K\)-theory (19-XX) 14 Nonassociative rings and algebras (17-XX) 14 Category theory; homological algebra (18-XX) 14 Topological groups, Lie groups (22-XX) 11 Field theory and polynomials (12-XX) 10 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 4 Mathematical logic and foundations (03-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-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) 1 Information and communication theory, circuits (94-XX) Citations by Year