Edit Profile (opens in new tab) Balaji, Vikraman Co-Author Distance Author ID: balaji.vikraman Published as: Balaji, V.; Balaji, Vikraman Homepage: https://www.cmi.ac.in/~balaji/ External Links: MGP · Wikidata Documents Indexed: 46 Publications since 1988, including 3 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 28 Co-Authors with 38 Joint Publications 795 Co-Co-Authors all top 5 Co-Authors 10 single-authored 12 Biswas, Indranil 11 Nagaraj, Donihakkalu Shankar 6 Seshadri, Conjeeveram Srirangachari 5 Parameswaran, A. J. 3 Lakshmibai, Venkatramani 3 Newstead, Peter E. 3 Pandey, Yashonidhi 3 Vishwanath, Periyapatna A. 2 Barik, Pabitra 2 Dey, Arijit 1 Brambila-Paz, Gloria Leticia 1 del Baño Rollin, Sebastian 1 Deligne, Pierre 1 Gabber, Ofer 1 Haboush, William J. 1 Kannan, Senthamarai 1 King, Alastair D. 1 Kollár, János 1 Littelmann, Peter 1 Mehta, Vikram Bhagvandas 1 Mumford, David Bryant 1 Murthy, M. Pavaman 1 Nagarajan, K. R. 1 Nori, Madhav V. 1 Sankaran, Parameswaran 1 Sridharan, Ramaiyengar 1 Subrahmanyam, K. Venkata 1 Yun, Zhiwei all top 5 Serials 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of the Ramanujan Mathematical Society 2 American Journal of Mathematics 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 IMRN. International Mathematics Research Notices 2 Transformation Groups 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of Algebra 1 Mathematische Nachrichten 1 Tôhoku Mathematical Journal. Second Series 1 Topology 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Electronic Research Announcements of the American Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Topology 1 Electronic Research Announcements in Mathematical Sciences 1 Trends in Mathematics 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 47 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 2 Group theory and generalizations (20-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 254 times in 200 Documents Cited by ▼ Year ▼ Moduli of parahoric \(\mathcal G\)-torsors on a compact Riemann surface. Zbl 1330.14059 Balaji, V.; Seshadri, C. S. 28 2015 Principal bundles over projective manifolds with parabolic structure over a divisor. Zbl 1070.14506 Balaji, Vikraman; Biswas, Indranil; Nagaraj, Donihakkalu S. 26 2001 Brauer obstruction for a universal vector bundle. Zbl 1127.14018 Balaji, Vikraman; Biswas, Indranil; Gabber, Ofer; Nagaraj, Donihakkalu S. 19 2007 Ramified \(G\)-bundles as parabolic bundles. Zbl 1095.14032 Balaji, V.; Biswas, I.; Nagaraj, D. S. 14 2003 Holonomy groups of stable vector bundles. Zbl 1146.14023 Balaji, V.; Kollár, János 13 2008 Semistable principal bundles. I: Characteristic zero. Zbl 1099.14502 Balaji, V.; Seshadri, C. S. 12 2002 Stability of the Poincaré bundle. Zbl 0907.14014 Balaji, V.; Brambila-Paz, L.; Newstead, P. E. 12 1997 Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification. Zbl 1121.14037 Balaji, V. 11 2007 Cohomology of line bundles on Schubert varieties. I. Zbl 1078.14071 Balaji, V.; Senthamarai Kannan, S.; Subrahmanyam, K. V. 11 2004 A degeneration of moduli of Hitchin pairs. Zbl 1404.14039 Balaji, Vikraman; Barik, Pabitra; Nagaraj, Donihakkalu S. 11 2016 A Torelli type theorem for the moduli space of parabolic vector bundles over curves. Zbl 1063.14042 Balaji, V.; Biswas, Indranil; Del Baño Rollin, Sebastian 10 2001 An analogue of the Narasimhan-Seshadri theorem in higher dimensions and some applications. Zbl 1221.14049 Balaji, V.; Parameswaran, A. J. 9 2011 Cohomology of certain moduli spaces of vector bundles. Zbl 0687.14014 Balaji, V. 8 1988 Krull-Schmidt reduction for principal bundles. Zbl 1084.14041 Balaji, V.; Biswas, Indranil; Nagaraj, D. S. 8 2005 Semistable principal bundles. II: Positive characteristics. Zbl 1084.14013 Balaji, V.; Parameswaran, A. J. 8 2003 Intermediate Jacobian of some moduli spaces of vector bundles on curves. Zbl 0722.14014 Balaji, V. 7 1990 Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve. Zbl 0915.14015 Balaji, V.; King, A. D.; Newstead, P. E. 6 1997 Tensor product theorem for Hitchin pairs – an algebraic approach. Zbl 1248.14046 Balaji, V.; Parameswaran, A. J. 6 2011 Deformations of Picard sheaves and moduli of pairs. Zbl 0844.14005 Balaji, V.; Vishwanath, P. A. 5 1994 Universal families on moduli spaces of principal bundles on curves. Zbl 1097.14026 Balaji, V.; Biswas, I.; Nagaraj, D. S.; Newstead, P. E. 5 2006 Connections on parahoric torsors over curves. Zbl 1390.14023 Balaji, Vikraman; Biswas, Indranil; Pandey, Yashonidhi 5 2017 On the deformations of certan moduli spaces of vector bundles. Zbl 0785.14015 Balaji, V.; Vishwanath, P. A. 3 1993 Lectures on principal bundles. Zbl 1187.14020 Balaji, V. 3 2009 Torsors on semistable curves and degenerations. Zbl 1498.14118 Balaji, V. 3 2022 Collected papers of C. S. Seshadri. Volume 1: Vector bundles and invariant theory. Volume 2: Schubert geometry and representation theory. Edited by Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori. Zbl 1244.14001 Seshadri, C. S. 2 2012 On principal bundles with vanishing Chern classes. Zbl 1030.14018 Balaji, Vikraman; Biswas, Indranil 2 2002 On degenerations of moduli of Hitchin pairs. Zbl 1290.14023 Balaji, V.; Barik, P.; Nagaraj, D. S. 2 2013 Addendum to “Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification”. Zbl 1180.14043 Balaji, Vikraman 1 2009 Tannakian Krull–Schmidt reduction. Zbl 1096.14025 Balaji, V.; Biswas, I.; Nagaraj, D. S. 1 2006 Principal bundles with parabolic structure. Zbl 0979.14009 Balaji, V.; Biswas, I.; Nagaraj, D. S. 1 2001 Principal bundles on abelian varieties with vanishing Chern classes. Zbl 1177.14071 Balaji, V.; Biswas, Indranil 1 2009 Cohomology of a moduli space of vector bundles. Zbl 0726.14012 Balaji, V.; Seshadri, C. S. 1 1990 A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018 1 2003 On complete reducibility in characteristic \(p\). (Compléte réductibilité en caractéristique \(p\).) Zbl 1405.14117 Balaji, V.; Deligne, P.; Parameswaran, A. J.; Yun, Zhiwei 1 2017 Torsors on semistable curves and degenerations. Zbl 1498.14118 Balaji, V. 3 2022 Connections on parahoric torsors over curves. Zbl 1390.14023 Balaji, Vikraman; Biswas, Indranil; Pandey, Yashonidhi 5 2017 On complete reducibility in characteristic \(p\). (Compléte réductibilité en caractéristique \(p\).) Zbl 1405.14117 Balaji, V.; Deligne, P.; Parameswaran, A. J.; Yun, Zhiwei 1 2017 A degeneration of moduli of Hitchin pairs. Zbl 1404.14039 Balaji, Vikraman; Barik, Pabitra; Nagaraj, Donihakkalu S. 11 2016 Moduli of parahoric \(\mathcal G\)-torsors on a compact Riemann surface. Zbl 1330.14059 Balaji, V.; Seshadri, C. S. 28 2015 On degenerations of moduli of Hitchin pairs. Zbl 1290.14023 Balaji, V.; Barik, P.; Nagaraj, D. S. 2 2013 Collected papers of C. S. Seshadri. Volume 1: Vector bundles and invariant theory. Volume 2: Schubert geometry and representation theory. Edited by Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori. Zbl 1244.14001 Seshadri, C. S. 2 2012 An analogue of the Narasimhan-Seshadri theorem in higher dimensions and some applications. Zbl 1221.14049 Balaji, V.; Parameswaran, A. J. 9 2011 Tensor product theorem for Hitchin pairs – an algebraic approach. Zbl 1248.14046 Balaji, V.; Parameswaran, A. J. 6 2011 Lectures on principal bundles. Zbl 1187.14020 Balaji, V. 3 2009 Addendum to “Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification”. Zbl 1180.14043 Balaji, Vikraman 1 2009 Principal bundles on abelian varieties with vanishing Chern classes. Zbl 1177.14071 Balaji, V.; Biswas, Indranil 1 2009 Holonomy groups of stable vector bundles. Zbl 1146.14023 Balaji, V.; Kollár, János 13 2008 Brauer obstruction for a universal vector bundle. Zbl 1127.14018 Balaji, Vikraman; Biswas, Indranil; Gabber, Ofer; Nagaraj, Donihakkalu S. 19 2007 Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification. Zbl 1121.14037 Balaji, V. 11 2007 Universal families on moduli spaces of principal bundles on curves. Zbl 1097.14026 Balaji, V.; Biswas, I.; Nagaraj, D. S.; Newstead, P. E. 5 2006 Tannakian Krull–Schmidt reduction. Zbl 1096.14025 Balaji, V.; Biswas, I.; Nagaraj, D. S. 1 2006 Krull-Schmidt reduction for principal bundles. Zbl 1084.14041 Balaji, V.; Biswas, Indranil; Nagaraj, D. S. 8 2005 Cohomology of line bundles on Schubert varieties. I. Zbl 1078.14071 Balaji, V.; Senthamarai Kannan, S.; Subrahmanyam, K. V. 11 2004 Ramified \(G\)-bundles as parabolic bundles. Zbl 1095.14032 Balaji, V.; Biswas, I.; Nagaraj, D. S. 14 2003 Semistable principal bundles. II: Positive characteristics. Zbl 1084.14013 Balaji, V.; Parameswaran, A. J. 8 2003 A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018 1 2003 Semistable principal bundles. I: Characteristic zero. Zbl 1099.14502 Balaji, V.; Seshadri, C. S. 12 2002 On principal bundles with vanishing Chern classes. Zbl 1030.14018 Balaji, Vikraman; Biswas, Indranil 2 2002 Principal bundles over projective manifolds with parabolic structure over a divisor. Zbl 1070.14506 Balaji, Vikraman; Biswas, Indranil; Nagaraj, Donihakkalu S. 26 2001 A Torelli type theorem for the moduli space of parabolic vector bundles over curves. Zbl 1063.14042 Balaji, V.; Biswas, Indranil; Del Baño Rollin, Sebastian 10 2001 Principal bundles with parabolic structure. Zbl 0979.14009 Balaji, V.; Biswas, I.; Nagaraj, D. S. 1 2001 Stability of the Poincaré bundle. Zbl 0907.14014 Balaji, V.; Brambila-Paz, L.; Newstead, P. E. 12 1997 Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve. Zbl 0915.14015 Balaji, V.; King, A. D.; Newstead, P. E. 6 1997 Deformations of Picard sheaves and moduli of pairs. Zbl 0844.14005 Balaji, V.; Vishwanath, P. A. 5 1994 On the deformations of certan moduli spaces of vector bundles. Zbl 0785.14015 Balaji, V.; Vishwanath, P. A. 3 1993 Intermediate Jacobian of some moduli spaces of vector bundles on curves. Zbl 0722.14014 Balaji, V. 7 1990 Cohomology of a moduli space of vector bundles. Zbl 0726.14012 Balaji, V.; Seshadri, C. S. 1 1990 Cohomology of certain moduli spaces of vector bundles. Zbl 0687.14014 Balaji, V. 8 1988 all cited Publications top 5 cited Publications all top 5 Cited by 199 Authors 56 Biswas, Indranil 12 Balaji, Vikraman 8 Gómez, Tomás L. 8 Kannan, Senthamarai 7 Dhillon, Ajneet 7 Parameswaran, A. J. 6 Dey, Arijit 5 Bhosle, Usha N. 5 Hoffmann, Norbert Peter 4 Alfaya, David 4 Basu, Suratno 4 Dan, Ananyo 4 García-Prada, Oscar 4 Kaur, Inder 4 Logares, Marina 4 Nagaraj, Donihakkalu Shankar 4 Roy, Sumit 4 Saha, Pinakinath 3 Damiolini, Chiara 3 Das, Sourav 3 Gurjar, Sudarshan Rajendra 3 Hogadi, Amit 3 Majumder, Souradeep 3 Mukhopadhyay, Swarnava 3 Newstead, Peter E. 3 Schmitt, Alexander H. W. 3 Sols, Ignacio 2 Arapura, Donu 2 Borne, Niels 2 Brambila-Paz, Gloria Leticia 2 Bruzzo, Ugo 2 Chakraborty, Sujoy 2 Choe, Insong 2 Druel, Stéphane 2 Frăţilă, Dragoş 2 Gasparim, Elizabeth 2 Gothen, Peter B. 2 Heinloth, Jochen 2 Hitching, George H. 2 Hong, Jiuzu 2 Höring, Andreas 2 Hurtubise, Jacques C. 2 Hyeon, Donghoon David 2 Kumar, Shrawan 2 Lange, Herbert 2 Langer, Adrian 2 Lemire, Nicole Marie Anne 2 Martens, Johan 2 Mehta, Vikram Bhagvandas 2 Meneses, Cláudio N. 2 Mundet i Riera, Ignasi 2 Muñoz Velázquez, Vicente 2 Pandey, Yashonidhi 2 Paul, Arjun 2 Pauly, Christian 2 Pinto dos Santos, João Pedro 2 Seshadri, Conjeeveram Srirangachari 2 Sun, Hao 2 Wilkin, Graeme 2 Wong, Michael Lennox 2 Yoo, Sang-Bum 1 Alper, Jarod 1 Anderson, Lara B. 1 Anella, Fabrizio 1 Antei, Marco 1 Baier, Thomas 1 Bajravani, Ali 1 Baptista, Joao M. 1 Baraglia, David 1 Barajas, G. 1 Barik, Pabitra 1 Barmeier, Severin 1 Belkale, Prakash 1 Belmans, Pieter 1 Biquard, Olivier 1 Boalch, Philip P. 1 Bolognesi, Michele 1 Bouwknegt, Peter G. 1 Braverman, Alexander 1 Burness, Timothy C. 1 Caraiani, Ana 1 Chary, B. Narasimha 1 Cheltsov, Ivan Anatol’evich 1 Coskun, Emre 1 Dalakov, Peter 1 Dan, Krishanu 1 Daskalopoulos, Georgios D. 1 De Concini, Corrado 1 Diverio, Simone 1 Dumitrescu, Sorin 1 Esole, Mboyo 1 Fassarella, Thiago 1 Fernández Vargas, Néstor 1 Arango Florentino, Carlos Armindo 1 Franco, Emilio 1 Fredrickson, Laura 1 Fringuelli, Roberto 1 Fu, Lie 1 Gabber, Ofer 1 Gaiotto, Davide ...and 99 more Authors all top 5 Cited in 77 Serials 17 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 14 Journal of Geometry and Physics 12 International Journal of Mathematics 10 Advances in Mathematics 8 Bulletin des Sciences Mathématiques 6 Geometriae Dedicata 6 Manuscripta Mathematica 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Algebra 5 Transformation Groups 4 Annales de l’Institut Fourier 4 Mathematische Annalen 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Tôhoku Mathematical Journal. Second Series 3 Transactions of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 Differential Geometry and its Applications 3 Documenta Mathematica 2 Communications in Algebra 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of Algebraic Geometry 2 Mathematical Physics, Analysis and Geometry 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Geometric Methods in Modern Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of \(K\)-Theory 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Journal of Lie Theory 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 European Mathematical Society Newsletter 1 Representation Theory 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Geometry & Topology 1 Algebras and Representation Theory 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Living Reviews in Relativity 1 Advances in Geometry 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Journal of Topology 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Complex Manifolds all top 5 Cited in 24 Fields 188 Algebraic geometry (14-XX) 27 Several complex variables and analytic spaces (32-XX) 26 Differential geometry (53-XX) 15 Group theory and generalizations (20-XX) 5 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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