Edit Profile (opens in new tab) Xu, Fei Co-Author Distance Author ID: xu.fei Published as: Xu, Fei Documents Indexed: 54 Publications since 1989, including 1 Book and 6 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 33 Reviews Co-Authors: 21 Co-Authors with 28 Joint Publications 784 Co-Co-Authors all top 5 Co-Authors 16 single-authored 7 Wei, Dasheng 5 Cao, Yang 3 Colliot-Thélène, Jean-Louis 3 Wang, Yuanhua 2 Cao, Jinde 2 Damanik, David 2 Di, Zhenxing 2 Li, Liping 2 Li, Wenjie 2 Liang, Li 2 Ouyang, Yi 2 Zhao, Jianqiang 1 Chan, Wai Kiu 1 Chen, Jing 1 Cheng, Lianyuan 1 Demarche, Cyril 1 Feng, Keqin 1 Guan, Yajuan 1 He, Zilong 1 Hsia, John Sollion 1 Ji, Chungang 1 Kim, Myung-Hwan 1 Lee, Youngmin 1 Li, Guodong 1 Liang, Yongqi 1 Liu, Qing 1 Lü, JianRui 1 Schulze-Pillot, Rainer 1 Wu, Mawei 1 Xing, Chaoping 1 Zhang, Fuchen 1 Zhang, Pu 1 Zhang, Runlin 1 Zhang, Xu 1 Zhang, Yang 1 Zheng, Chenyou 1 Zhu, Quanmin all top 5 Serials 4 Acta Arithmetica 3 Pacific Journal of Mathematics 2 Advances in Mathematics 2 Compositio Mathematica 2 Journal of Algebra 2 Journal of Number Theory 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Information Sciences 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Northeastern Mathematical Journal 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Algebra Colloquium 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 The Quarterly Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Physics A: Mathematical and Theoretical 1 Advanced Lectures in Mathematics (ALM) 1 Science China. Mathematics all top 5 Fields 42 Number theory (11-XX) 14 Algebraic geometry (14-XX) 10 Group theory and generalizations (20-XX) 3 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 2 Category theory; homological algebra (18-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 211 times in 113 Documents Cited by ▼ Year ▼ Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036 Colliot-Thélène, Jean-Louis; Xu, Fei 41 2009 On representations of spinor genera. Zbl 1041.11020 Chan, Wai Kiu; Xu, Fei 21 2004 Representations of indefinite quadratic forms. Zbl 0883.11016 Hsia, J. S.; Shao, Y. Y.; Xu, Fei 15 1998 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060 Colliot-Thélène, Jean-Louis; Xu, Fei 15 2013 Comparing descent obstruction and Brauer-Manin obstruction for open varieties. Zbl 1461.14029 Cao, Yang; Demarche, Cyril; Xu, Fei 11 2019 Integral points for multi-norm tori. Zbl 1281.11065 Wei, Dasheng; Xu, Fei 10 2012 Integral points for groups of multiplicative type. Zbl 1282.11022 Wei, Dasheng; Xu, Fei 9 2013 Strong approximation with Brauer-Manin obstruction for toric varieties. (Approximation forte par rapport à l’obstruction de Brauer-Manin pour les variétés toriques.) Zbl 1436.11073 Cao, Yang; Xu, Fei 9 2018 Very strong approximation for certain algebraic varieties. Zbl 1339.14018 Liu, Qing; Xu, Fei 8 2015 Arithmetic purity of strong approximation for homogeneous spaces. Zbl 1454.14065 Cao, Yang; Liang, Yongqi; Xu, Fei 7 2019 Representations of indefinite ternary quadratic forms over number fields. Zbl 0990.11016 Xu, Fei 6 2000 Strong approximation for certain quadric fibrations with compact fibers. Zbl 1398.11100 Xu, Fei 6 2015 Sums of three squares over imaginary quadratic fields. Zbl 1135.11017 Ji, Chungang; Wang, Yuanhua; Xu, Fei 5 2006 Generation of integral orthogonal groups over dyadic local fields. Zbl 0829.11021 Xu, Fei 5 1995 Brauer-Manin obstruction for Markoff surfaces. Zbl 1478.11091 Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei 5 2020 Representations by spinor genera of ternary quadratic forms. Zbl 1142.11327 Schulze-Pillot, Rainer; Xu, Fei 4 2004 On representations of spinor genera. II. Zbl 1155.11319 Xu, Fei 4 2005 Integral spinor norms in dyadic local fields. I. Zbl 0806.11019 Xu, Fei 4 1993 Strong approximation with Brauer-Manin obstruction for groupic varieties. Zbl 1436.11072 Cao, Yang; Xu, Fei 4 2018 A remark on spinor norms of local integral rotations. I. Zbl 0699.10033 Xu, Fei 3 1989 Realization of numbers as the degrees of maps between manifolds. Zbl 1205.55003 Lee, Young Min; Xu, Fei 3 2010 On indefinite and potentially universal quadratic forms over number fields. Zbl 1489.11056 Xu, Fei; Zhang, Yang 3 2022 Arithmetic Springer theorem on quadratic forms under field extensions of odd degree. Zbl 0955.11010 Xu, Fei 2 1999 Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings. Zbl 1048.11029 Xu, Fei 2 2003 Counting integral points in certain homogeneous spaces. Zbl 1383.11087 Wei, Dasheng; Xu, Fei 2 2016 Number theory and related areas. Zbl 1270.11002 2 2013 Integral spinor norms in dyadic local fields. II. Zbl 0780.11017 Xu, Fei 1 1993 Spinor genera in characteristic 2. Zbl 1235.11036 Wang, Yuanhua; Xu, Fei 1 2008 Integral spinor norms in dyadic local fields. III. Zbl 1273.11062 Lü, Jianrui; Xu, Fei 1 2010 Kolyvagin’s “Euler systems” in cyclotomic function fields. Zbl 0849.11089 Feng, Keqin; Xu, Fei 1 1996 Representation masses of spinor genera. Zbl 1021.11008 Xu, Fei 1 2001 A note on global stability of a degenerate diffusion avian influenza model with seasonality and spatial heterogeneity. Zbl 1527.35078 Li, Wenjie; Guan, Yajuan; Cao, Jinde; Xu, Fei 1 2024 A note on global stability of a degenerate diffusion avian influenza model with seasonality and spatial heterogeneity. Zbl 1527.35078 Li, Wenjie; Guan, Yajuan; Cao, Jinde; Xu, Fei 1 2024 On indefinite and potentially universal quadratic forms over number fields. Zbl 1489.11056 Xu, Fei; Zhang, Yang 3 2022 Brauer-Manin obstruction for Markoff surfaces. Zbl 1478.11091 Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei 5 2020 Comparing descent obstruction and Brauer-Manin obstruction for open varieties. Zbl 1461.14029 Cao, Yang; Demarche, Cyril; Xu, Fei 11 2019 Arithmetic purity of strong approximation for homogeneous spaces. Zbl 1454.14065 Cao, Yang; Liang, Yongqi; Xu, Fei 7 2019 Strong approximation with Brauer-Manin obstruction for toric varieties. (Approximation forte par rapport à l’obstruction de Brauer-Manin pour les variétés toriques.) Zbl 1436.11073 Cao, Yang; Xu, Fei 9 2018 Strong approximation with Brauer-Manin obstruction for groupic varieties. Zbl 1436.11072 Cao, Yang; Xu, Fei 4 2018 Counting integral points in certain homogeneous spaces. Zbl 1383.11087 Wei, Dasheng; Xu, Fei 2 2016 Very strong approximation for certain algebraic varieties. Zbl 1339.14018 Liu, Qing; Xu, Fei 8 2015 Strong approximation for certain quadric fibrations with compact fibers. Zbl 1398.11100 Xu, Fei 6 2015 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060 Colliot-Thélène, Jean-Louis; Xu, Fei 15 2013 Integral points for groups of multiplicative type. Zbl 1282.11022 Wei, Dasheng; Xu, Fei 9 2013 Number theory and related areas. Zbl 1270.11002 2 2013 Integral points for multi-norm tori. Zbl 1281.11065 Wei, Dasheng; Xu, Fei 10 2012 Realization of numbers as the degrees of maps between manifolds. Zbl 1205.55003 Lee, Young Min; Xu, Fei 3 2010 Integral spinor norms in dyadic local fields. III. Zbl 1273.11062 Lü, Jianrui; Xu, Fei 1 2010 Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036 Colliot-Thélène, Jean-Louis; Xu, Fei 41 2009 Spinor genera in characteristic 2. Zbl 1235.11036 Wang, Yuanhua; Xu, Fei 1 2008 Sums of three squares over imaginary quadratic fields. Zbl 1135.11017 Ji, Chungang; Wang, Yuanhua; Xu, Fei 5 2006 On representations of spinor genera. II. Zbl 1155.11319 Xu, Fei 4 2005 On representations of spinor genera. Zbl 1041.11020 Chan, Wai Kiu; Xu, Fei 21 2004 Representations by spinor genera of ternary quadratic forms. Zbl 1142.11327 Schulze-Pillot, Rainer; Xu, Fei 4 2004 Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings. Zbl 1048.11029 Xu, Fei 2 2003 Representation masses of spinor genera. Zbl 1021.11008 Xu, Fei 1 2001 Representations of indefinite ternary quadratic forms over number fields. Zbl 0990.11016 Xu, Fei 6 2000 Arithmetic Springer theorem on quadratic forms under field extensions of odd degree. Zbl 0955.11010 Xu, Fei 2 1999 Representations of indefinite quadratic forms. Zbl 0883.11016 Hsia, J. S.; Shao, Y. Y.; Xu, Fei 15 1998 Kolyvagin’s “Euler systems” in cyclotomic function fields. Zbl 0849.11089 Feng, Keqin; Xu, Fei 1 1996 Generation of integral orthogonal groups over dyadic local fields. Zbl 0829.11021 Xu, Fei 5 1995 Integral spinor norms in dyadic local fields. I. Zbl 0806.11019 Xu, Fei 4 1993 Integral spinor norms in dyadic local fields. II. Zbl 0780.11017 Xu, Fei 1 1993 A remark on spinor norms of local integral rotations. I. Zbl 0699.10033 Xu, Fei 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 107 Authors 16 Xu, Fei 12 Arenas-Carmona, Luis 9 Wei, Dasheng 7 Cao, Yang 6 Harpaz, Yonatan 5 Linowitz, Benjamin 5 Schindler, Damaris 4 Colliot-Thélène, Jean-Louis 4 Wittenberg, Olivier 3 Demarche, Cyril 3 Jahnel, Jörg 3 Ji, Chungang 3 Liang, Yongqi 2 Arenas, Manuel J. 2 Beli, Constantin-Nicolae 2 Bravo, Claudio 2 Bright, Martin 2 Browning, Timothy Daniel 2 Chan, Wai Kiu 2 Ghosh, Amit 2 Gorodnik, Alexander 2 He, Zilong 2 Huang, Zhizhong 2 Kane, Ben 2 Mao, Guo-Shuai 2 Santens, Tim 2 Sarnak, Peter Clive 2 Shemanske, Thomas R. 2 Sun, Liang 2 Xue, Jiangwei 2 Yu, Chia-Fu 1 Allcock, Daniel Jonathan 1 Balestrieri, Francesca 1 Borovoi, Mikhail V. 1 Brandhorst, Simon 1 Bugeaud, Yann 1 Chen, Haimiao 1 Chen, Qile 1 Chen, Sheng 1 Contréras, Jaime A. 1 Corvaja, Pietro 1 Dao, Quang-Duc 1 DeMarco, Laura Grace 1 Demeio, Julian Lawrence 1 Derenthal, Ulrich 1 Faye, Bernadette 1 Gal, Itamar 1 Gonçalves, Daciberg Lima 1 Habegger, Philipp 1 Haensch, Anna 1 Harari, David 1 Heath-Brown, Roger 1 Hofmann, Tommy 1 Hou, Bingzhe 1 Kala, Vítězslav 1 Kamaraj, Ramanujam 1 Kok, Ivo 1 Lee, Youngmin 1 Li, Han 1 Liang, Pei-Xin 1 Liu, Qing 1 Liu, Yan 1 Lorenzini, Dino J. 1 Loughran, Daniel 1 Lü, JianRui 1 Lv, Chang 1 Lyczak, Julian 1 Manthe, Sven 1 Margulis, Grigoriĭ Aleksandrovich 1 Mark, Alice 1 Matthiesen, Lilian 1 Meiri, Chen 1 Milićević, Djordje 1 Mitankin, Vladimir 1 Nevo, Amos 1 Oh, Byeong-Kweon 1 Oishi-Tomiyasu, Ryoko 1 Oki, Yasuhiro 1 Pál, Ambrus 1 Pan, Xiaotian 1 Paulin, Frédéric 1 Peng, Deke 1 Quiroz, Patricio 1 Schlank, Tomer M. 1 Schlosser, Michael J. 1 Siksek, Samir 1 Skorobogatov, Alexei Nikolaïevitch 1 Sun, Chia-Liang 1 Swaminathan, Ashvin Anand 1 Tinková, Magdaléna 1 Uematsu, Tetsuya 1 Uppal, H. 1 Voight, John Michael 1 Voloch, José Felipe 1 Wang, Yuanhua 1 Wilsch, Florian 1 Wong, Peter N.-S. 1 Wu, Hai-Liang 1 Yang, Hsin-Yi 1 Yatsyna, Pavlo ...and 7 more Authors all top 5 Cited in 53 Serials 20 Journal of Number Theory 6 Compositio Mathematica 5 International Journal of Number Theory 4 Advances in Mathematics 4 Annales de l’Institut Fourier 3 Journal of Algebra 3 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 3 Algebra & Number Theory 3 Science China. Mathematics 3 European Journal of Mathematics 2 Israel Journal of Mathematics 2 Acta Arithmetica 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 2 Journal de Théorie des Nombres de Bordeaux 2 Acta Mathematica Sinica. English Series 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Topology and its Applications 1 Bulletin of the Iranian Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 New Zealand Journal of Mathematics 1 Journal of Algebraic Geometry 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Proyecciones 1 Journal of Modern Dynamics 1 Involve 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Research in Number Theory 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 13 Fields 103 Number theory (11-XX) 56 Algebraic geometry (14-XX) 21 Group theory and generalizations (20-XX) 7 Associative rings and algebras (16-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) Citations by Year