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: 33 Publications since 1998, including 3 Books 4 Contributions as Editor Reviewing Activity: 47 Reviews Co-Authors: 12 Co-Authors with 20 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 17 single-authored 6 He, Xuhua 6 Wedhorn, Torsten 4 Fargues, Laurent 4 Haines, Thomas J. 4 Viehmann, Eva 2 Kottwitz, Robert Edward 2 Nie, Sian 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 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 34 Algebraic geometry (14-XX) 24 Number theory (11-XX) 12 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 26 Publications have been cited 446 times in 284 Documents Cited by ▼ Year ▼ Algebraic geometry I. Schemes. With examples and exercises. Zbl 1213.14001Görtz, Ulrich; Wedhorn, Torsten 113 2010 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526Görtz, Ulrich 45 2001 On the flatness of local models for the symplectic group. Zbl 1051.14027Görtz, Ulrich 34 2003 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 2006 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 32 2010 Affine Springer fibers and affine Deligne-Lusztig varieties. Zbl 1210.22015Görtz, Ulrich 22 2010 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155Görtz, Ulrich; He, Xuhua; Nie, Sian 22 2019 Basic loci of Coxeter type in Shimura varieties. Zbl 1350.14026Görtz, Ulrich; He, Xuhua 18 2015 \(\mathbf{P}\)-alcoves and nonemptiness of affine Deligne-Lusztig varieties. (\(\mathbf{P}\)-alcôves et vacuité des variétés de Deligne-Lusztig affines.) Zbl 1326.14122Görtz, Ulrich; He, Xuhua; Nie, Sian 15 2015 The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties. Zbl 1157.14013Görtz, Ulrich; Haines, Thomas J. 15 2007 Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties. Zbl 1191.14028Görtz, Ulrich; Yu, Chia-Fu 12 2010 Dimensions of affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1248.20048Görtz, Ulrich; He, Xuhua 11 2010 The supersingular locus in Siegel modular varieties with Iwahori level structure. Zbl 1257.14019Görtz, Ulrich; Yu, Chia-Fu 11 2012 Alcove walks and nearby cycles on affine flag manifolds. Zbl 1152.20006Görtz, Ulrich 9 2007 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001Görtz, Ulrich; Wedhorn, Torsten 9 2020 Coherent modules and their descent on relative rigid spaces. Zbl 0884.14009Bosch, Siegfried; Görtz, Ulrich 8 1998 Topological flatness of local models in the ramified case. Zbl 1085.14022Görtz, 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 1107.14018Görtz, Ulrich 5 2004 Erratum to: “Basic loci of Coxeter type in Shimura varieties”. Zbl 1408.14091Görtz, Ulrich; He, Xuhua 5 2018 Ekedahl-Oort strata and Kottwitz-Rapoport strata. Zbl 1257.14018Görtz, Ulrich; Hoeve, Maarten 5 2012 On the connectedness of Deligne-Lusztig varieties. Zbl 1171.14031Görtz, Ulrich 4 2009 A sum of representation numbers. Zbl 1157.14310Görtz, Ulrich 2 2007 Arithmetic intersection numbers. Zbl 1223.11074Görtz, Ulrich 2 2007 Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds. Zbl 1112.14056Görtz, Ulrich; Haines, Thomas J. 2 2006 Classics revisited: Éléments de géométrie algébrique. Zbl 1426.14001Görtz, Ulrich 2 2018 Stratifications of affine Deligne-Lusztig varieties. Zbl 1470.11165Görtz, Ulrich 2 2019 Algebraic geometry I. Schemes. With examples and exercises. 2nd edition. Zbl 1444.14001Görtz, Ulrich; Wedhorn, Torsten 9 2020 Fully Hodge-Newton decomposable Shimura varieties. Zbl 1465.11155Görtz, Ulrich; He, Xuhua; Nie, Sian 22 2019 Stratifications of affine Deligne-Lusztig varieties. Zbl 1470.11165Görtz, Ulrich 2 2019 Erratum to: “Basic loci of Coxeter type in Shimura varieties”. Zbl 1408.14091Görtz, Ulrich; He, Xuhua 5 2018 Classics revisited: Éléments de géométrie algébrique. Zbl 1426.14001Görtz, Ulrich 2 2018 Basic loci of Coxeter type in Shimura varieties. Zbl 1350.14026Görtz, Ulrich; He, Xuhua 18 2015 \(\mathbf{P}\)-alcoves and nonemptiness of affine Deligne-Lusztig varieties. (\(\mathbf{P}\)-alcôves et vacuité des variétés de Deligne-Lusztig affines.) Zbl 1326.14122Görtz, Ulrich; He, Xuhua; Nie, Sian 15 2015 The supersingular locus in Siegel modular varieties with Iwahori level structure. Zbl 1257.14019Görtz, Ulrich; Yu, Chia-Fu 11 2012 Ekedahl-Oort strata and Kottwitz-Rapoport strata. Zbl 1257.14018Görtz, Ulrich; Hoeve, Maarten 5 2012 Algebraic geometry I. Schemes. With examples and exercises. Zbl 1213.14001Görtz, Ulrich; Wedhorn, Torsten 113 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 32 2010 Affine Springer fibers and affine Deligne-Lusztig varieties. Zbl 1210.22015Görtz, Ulrich 22 2010 Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties. Zbl 1191.14028Görtz, Ulrich; Yu, Chia-Fu 12 2010 Dimensions of affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1248.20048Görtz, Ulrich; He, Xuhua 11 2010 On the connectedness of Deligne-Lusztig varieties. Zbl 1171.14031Görtz, Ulrich 4 2009 The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties. Zbl 1157.14013Görtz, Ulrich; Haines, Thomas J. 15 2007 Alcove walks and nearby cycles on affine flag manifolds. Zbl 1152.20006Görtz, Ulrich 9 2007 A sum of representation numbers. Zbl 1157.14310Görtz, Ulrich 2 2007 Arithmetic intersection numbers. Zbl 1223.11074Görtz, Ulrich 2 2007 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 2006 Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds. Zbl 1112.14056Görtz, Ulrich; Haines, Thomas J. 2 2006 Topological flatness of local models in the ramified case. Zbl 1085.14022Görtz, 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 1107.14018Görtz, Ulrich 5 2004 On the flatness of local models for the symplectic group. Zbl 1051.14027Görtz, Ulrich 34 2003 On the flatness of models of certain Shimura varieties of PEL-type. Zbl 1073.14526Görtz, Ulrich 45 2001 Coherent modules and their descent on relative rigid spaces. Zbl 0884.14009Bosch, Siegfried; Görtz, Ulrich 8 1998 all cited Publications top 5 cited Publications all top 5 Cited by 293 Authors 16 Görtz, Ulrich 15 He, Xuhua 13 Viehmann, Eva 10 Nie, Sian 9 Rapoport, Michael 8 Haines, Thomas J. 7 Pappas, Georgios 6 Smithling, Brian D. 5 Milićević, Elizabeth T. 5 Yu, Chia-Fu 4 Chen, Miaofen 4 Hamacher, Paul 4 Isaev, Alexander 4 Keller, Timo 4 Schwer, Petra N. 4 Shen, Xu 4 Stroh, Benoît 4 Wedhorn, Torsten 3 Cid-Ruiz, Yairon 3 Ivanov, Alexander B. 3 Jarden, Moshe 3 Krishna, Amalendu 3 Lunts, Valery A. 3 Montaño, Jonathan 3 Pilloni, Vincent 3 Riche, Simon 3 Schnürer, Olaf M. 3 Wang, Haining 3 Williamson, Geordie 3 Zhu, Xinwen 2 Achter, Jeffrey D. 2 Alexandrou, Theodosis 2 Beazley, Elizabeth T. 2 Binda, Federico 2 Buczyński, Jarosław 2 Cass, Robert 2 Chen, Ling 2 Ciappara, Joshua 2 Conrad, Brian 2 Datta, Rankeya 2 de Cataldo, Mark Andrea A. 2 de Shalit, Ehud 2 Gao, Ziyang 2 Gille, Philippe 2 Goren, Eyal Z. 2 Habegger, Philipp 2 Halevi, Yatir 2 Hartl, Urs T. 2 Hartmann, Annabelle 2 Helm, David 2 Jelisiejew, Joachim 2 Kebekus, Stefan 2 Kisin, Mark 2 Lan, Kai-Wen 2 Levin, Brandon 2 Li, Binglin 2 Mańdziuk, Tomasz 2 Meier, Lennart 2 Muratore, Giosuè Emanuele 2 Muthiah, Dinakar 2 Ngô Bao Châu 2 Núñez, Pedro 2 Orr, Daniel 2 Osserman, Brian 2 Razon, Aharon 2 Reede, Fabian 2 Richarz, Timo 2 Rostami, Sean 2 Šťovíček, Jan 2 Weekes, Alex 2 Xu, Daxin 2 Yang, Zhongwei 2 Yun, Zhiwei 2 Zanchetta, Ferdinando 2 Zhang, Wei 2 Zhou, Rong 1 Achar, Pramod N. 1 Achet, Raphaël 1 Alper, Jarod 1 Anas Hahn, Marvin 1 Angeleri Hügel, Lidia 1 Antei, Marco 1 Antieau, Benjamin 1 Arzdorf, Kai 1 Barakat, Mohamed 1 Battiston, Giulia 1 Bauer, Tilman 1 Baumann, Pierre 1 Bedi, Harpreet Singh 1 Belkale, Prakash 1 Bezrukavnikov, Roman 1 Bijakowski, Stephane 1 Bourget, Antoine 1 Bouthier, Alexis 1 Boyer, Pascal 1 Brandenburg, Martin 1 Brendan, Creutz 1 Brion, Michel 1 Browning, Timothy Daniel 1 Burgos Gil, José Ignacio ...and 193 more Authors all top 5 Cited in 85 Serials 23 Journal of Algebra 20 Compositio Mathematica 14 Annales de l’Institut Fourier 13 Advances in Mathematics 12 Mathematische Annalen 11 Mathematische Zeitschrift 9 Journal für die Reine und Angewandte Mathematik 9 Manuscripta Mathematica 8 Duke Mathematical Journal 8 Transactions of the American Mathematical Society 8 Journal of the Institute of Mathematics of Jussieu 6 Inventiones Mathematicae 6 Journal of Algebraic Geometry 6 Documenta Mathematica 6 Annals of Mathematics. Second Series 6 Forum of Mathematics, Sigma 5 Transformation Groups 4 Journal of Number Theory 4 Journal of Pure and Applied Algebra 4 Michigan Mathematical Journal 4 Journal of the American Mathematical Society 3 Communications in Algebra 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Selecta Mathematica. New Series 3 Representation Theory 3 Algebra & Number Theory 2 Rocky Mountain Journal of Mathematics 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Geometriae Dedicata 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Nagoya Mathematical Journal 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Foundations of Computational Mathematics 2 Oberwolfach Reports 2 International Journal of Number Theory 2 Journal of Noncommutative Geometry 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 Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 International Journal of Game Theory 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Annals of Pure and Applied Logic 1 Journal of Symbolic 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 The New York Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Journal of Mathematical Logic 1 Journal of High Energy Physics 1 Advances in Geometry 1 Journal of the Australian Mathematical Society 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 Annales Mathématiques du Québec 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 30 Fields 234 Algebraic geometry (14-XX) 112 Number theory (11-XX) 77 Group theory and generalizations (20-XX) 25 Commutative algebra (13-XX) 16 Associative rings and algebras (16-XX) 13 Combinatorics (05-XX) 13 Nonassociative rings and algebras (17-XX) 13 Topological groups, Lie groups (22-XX) 9 Field theory and polynomials (12-XX) 9 \(K\)-theory (19-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Category theory; homological algebra (18-XX) 6 Differential geometry (53-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-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