Edit Profile (opens in new tab) Kollár, János Co-Author Distance Author ID: kollar.janos Published as: Kollár, János; Kollar, Janos; Kollár, J.; Kollar, J.; Kollar, János; Kollár more...less Homepage: https://web.math.princeton.edu/~kollar/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Awards: Shaw Prize (2017) Documents Indexed: 197 Publications since 1978, including 10 Books 10 Contributions as Editor · 5 Further Contributions Co-Authors: 100 Co-Authors with 90 Joint Publications 2,453 Co-Co-Authors all top 5 Co-Authors 117 single-authored 8 Mori, Shigefumi 6 Clemens, C. Herbert 6 Corti, Alessio 5 Johnson, Jennifer M. 4 Kovács, Sándor J. 4 Miyaoka, Yoichi 4 Xu, Chenyang 3 Kucharz, Wojciech 3 Lazarsfeld, Robert Kendall 2 Altmann, Klaus 2 Ambro, Florin 2 Babai, László 2 Bochnak, Jacek 2 Boyer, Charles P. 2 Fried, Ervin 2 Fujino, Osamu 2 Galicki, Krzysztof 2 Grassi, Antonella 2 Mangolte, Frédéric 2 Matsuki, Kenji 2 McKernan, James 2 Morrison, David R. 2 Némethi, András 2 Rónyai, Lajos 2 Schreyer, Frank-Olaf 2 Szabó, Endre 2 Szabó, Tibor 2 Takagi, Hiromichi 1 Abramovich, Dan 1 Alexeev, Valery A. 1 Araujo, Carolina 1 Balaji, Vikraman 1 Balaji, Vinoth 1 Ballico, Edoardo 1 Bernasconi, Fabio 1 Bien, Frédéric V. 1 Borcea, Ciprian S. 1 Borel, Armand 1 Böröczky, Karoly jun. 1 Campana, Frédéric 1 Cascini, Paolo 1 Chen, Jungkai Alfred 1 Chen, Meng 1 Claudon, Benoît 1 de Fernex, Tommaso 1 Demailly, Jean-Pierre 1 Derenthal, Ulrich 1 Dvir, Zeev 1 Ejiri, Sho 1 Fefferman, Charles Louis 1 Fernández de Bobadilla, Javier 1 Fong, Lungying 1 Frankl, Péter 1 Fulger, Mihai 1 Gál, Anna 1 Gawȩdzki, Krzysztof 1 Ghigi, Alessandro 1 Gibney, Angela 1 Gleason, Andrew Mattei 1 Hacking, Paul 1 Hacon, Christopher Derek 1 Hassett, Brendan 1 Herman, Richard H. 1 Höring, Andreas 1 Horváthy, Peter A. 1 Ishii, Shihoko 1 Izadi, Elham 1 Jaffe, Arthur Michael 1 Ji, Shanyu 1 Jiang, Chen 1 Joglar-Prieto, Nuria 1 Kachi, Yasuyuki 1 Kapovich, Michael 1 Keel, Sean 1 Kurdyka, Krzysztof 1 Landesman, Aaron 1 Larsen, Michael Jeffrey 1 Laza, Radu 1 Lehmann, Brian 1 Lieblich, Max David 1 Looijenga, Eduard J. N. 1 Lovett, Shachar 1 Matsusaka, Teruhisa 1 Mazur, Barry 1 Mella, Massimiliano 1 Mukai, Shigeru 1 Mustaţă, Mircea 1 Nakayama, Noboru 1 Nicaise, Johannes 1 Nowak, Krzysztof Jan 1 Olsson, Martin C. 1 Pardon, John Vincent 1 Raicu, Claudiu 1 Reichstein, Zinovy B. 1 Sabidussi, Gert 1 Saccà, Giulia 1 Sawin, William F. 1 Shepherd-Barron, Nicholas Ian 1 Shiffman, Bernard 1 Sipser, Michael ...and 10 more Co-Authors all top 5 Serials 7 Annals of Mathematics. Second Series 6 Journal of the American Mathematical Society 5 Inventiones Mathematicae 5 Pure and Applied Mathematics Quarterly 4 Duke Mathematical Journal 4 Bulletin of the American Mathematical Society. New Series 4 Notices of the American Mathematical Society 4 Cambridge Tracts in Mathematics 4 Algebraic Geometry 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Commentarii Mathematici Helvetici 3 Journal of Differential Geometry 3 Michigan Mathematical Journal 3 Journal of Algebraic Geometry 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Algebra Universalis 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Experimental Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 The Asian Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Annals of Mathematics Studies 2 Astérisque 2 Mathematical Sciences Research Institute Publications 2 Proceedings of Symposia in Pure Mathematics 2 Journal of Singularities 2 Épijournal de Géométrie Algébrique. EPIGA 2 Peking Mathematical Journal 1 Classical and Quantum Gravity 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Scientiarum Mathematicarum 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Compositio Mathematica 1 Matematikai Lapok 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Semigroup Forum 1 Topology 1 Transactions of the American Mathematical Society 1 Combinatorica 1 Acta Mathematica Hungarica 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Complexity 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Sciences. University of Tokyo 1 Methods and Applications of Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Portugaliae Mathematica. Nova Série 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Advanced Studies in Pure Mathematics 1 Bolyai Society Mathematical Studies 1 Cambridge Studies in Advanced Mathematics 1 Contemporary Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Oxford Lecture Series in Mathematics and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 IAS/Park City Mathematics Series 1 Algebra & Number Theory 1 Journal of Topology 1 Science China. Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 Tunisian Journal of Mathematics 1 Electronic Research Archive 1 M. B. Porter Lectures all top 5 Fields 182 Algebraic geometry (14-XX) 27 Several complex variables and analytic spaces (32-XX) 11 General and overarching topics; collections (00-XX) 11 Differential geometry (53-XX) 10 Number theory (11-XX) 8 History and biography (01-XX) 8 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 8 Manifolds and cell complexes (57-XX) 7 General algebraic systems (08-XX) 6 Field theory and polynomials (12-XX) 6 Real functions (26-XX) 4 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 185 Publications have been cited 4,782 times in 2,996 Documents Cited by ▼ Year ▼ Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Zbl 0926.14003Kollár, János; Mori, Shigefumi 585 1998 Rational curves on algebraic varieties. Zbl 0877.14012Kollár, János 353 1995 Threefolds and deformations of surface singularities. Zbl 0642.14008Kollár, J.; Shepherd-Barron, N. I. 189 1988 Lectures on resolution of singularities. Zbl 1113.14013Kollár, János 174 2007 Singularities of the minimal model program. With the collaboration of Sándor Kovács. Zbl 1282.14028Kollár, János 169 2013 Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds. Zbl 0994.32021Demailly, Jean-Pierre; Kollár, János 160 2001 Singularities of pairs. Zbl 0905.14002Kollár, János 159 1997 Higher direct images of dualizing sheaves. I. Zbl 0598.14015Kollár, János 147 1986 Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 136 1992 Rationally connected varieties. Zbl 0780.14026Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 116 1992 Sharp effective Nullstellensatz. Zbl 0682.14001Kollár, János 113 1988 Shafarevich maps and automorphic forms. Zbl 0871.14015Kollár, János 108 1995 Classification of three-dimensional flips. Zbl 0773.14004Kollár, János; Mori, Shigefumi 92 1992 Shafarevich maps and plurigenera of algebraic varieties. Zbl 0819.14006Kollár, János 91 1993 Rational and nearly rational varieties. Zbl 1060.14073Kollár, János; Smith, Karen E.; Corti, Alessio 82 2004 Higher direct images of dualizing sheaves. II. Zbl 0605.14014Kollár, János 72 1986 Flips and abundance for algebraic threefolds. A summer seminar at the University of Utah, Salt Lake City, 1991. Zbl 0782.00075 71 1992 Flops. Zbl 0645.14004Kollár, János 69 1989 Projectivity of complete moduli. Zbl 0684.14002Kollár, János 66 1990 Log canonical singularities are Du Bois. Zbl 1202.14003Kollár, János; Kovács, Sándor J. 64 2010 Norm-graphs and bipartite Turán numbers. Zbl 0858.05061Kollár, János; Rónyai, Lajos; Szabó, Tibor 60 1996 Einstein metrics on spheres. Zbl 1093.53044Boyer, Charles P.; Galicki, Krzysztof; Kollár, János 58 2005 Effective base point freeness. Zbl 0818.14002Kollár, János 58 1993 Essential dimensions of algebraic groups and a resolution theorem for \(G\)-varieties. (With an appendix by János Kollár and Endre Szabó: Fixed points of group actions and rational maps). Zbl 1044.14023Reichstein, Zinovy; Youssin, Boris 51 2000 The Nash problem on arc families of singularities. Zbl 1052.14011Ishii, Shihoko; Kollár, János 51 2003 Moduli of varieties of general type. Zbl 1322.14006Kollár, János 50 2013 Nonrational hypersurfaces. Zbl 0839.14031Kollár, János 47 1995 Higher dimensional complex geometry. A summer seminar at the University of Utah, Salt Lake City, 1987. Zbl 0689.14016Clemens, Herbert; Kollár, János; Mori, Shigefumi 43 1988 Quotient spaces modulo algebraic groups. Zbl 0881.14017Kollár, János 42 1997 Continuous rational functions on real and \(p\)-adic varieties. Zbl 1390.14178Kollár, János; Nowak, Krzysztof 41 2015 A global Łojasiewicz inequality for algebraic varieties. Zbl 0762.14001Ji, Shanyu; Kollár, János; Shiffman, Bernard 38 1992 Toward moduli of singular varieties. Zbl 0666.14003Kollár, János 33 1985 Flips, flops, minimal models, etc. Zbl 0755.14003Kollár, János 33 1991 Einstein metrics on five-dimensional Seifert bundles. Zbl 1082.53041Kollár, János 29 2005 Unirationality of cubic hypersurfaces. Zbl 1077.14556Kollár, János 28 2002 The dual complex of singularities. Zbl 1388.14107de Fernex, Tommaso; Kollár, János; Xu, Chenyang 28 2017 Kodaira’s canonical bundle formula and adjunction. Zbl 1286.14027Kollár, János 28 2007 Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi 28 2000 Flips for 3-folds and 4-folds. Zbl 05175029 27 2007 Is there a topological Bogomolov-Miyaoka-Yau inequality? Zbl 1145.14031Kollár, János 27 2008 Extremal rays on smooth threefolds. Zbl 0753.14036Kollár, János 26 1991 Riemann-Roch type inequalities. Zbl 0538.14006Kollár, J.; Matsusaka, T. 24 1983 The cone theorem: Note to a paper of Y. Kawamata. Zbl 0544.14010Kollár, János 23 1984 Rationally connected varieties over local fields. Zbl 0976.14016Kollár, János 23 1999 Rational curves on varieties. Zbl 1080.14521Araujo, Carolina; Kollár, János 23 2003 The dual complex of Calabi-Yau pairs. Zbl 1360.14056Kollár, János; Xu, Chenyang 23 2016 Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces. Zbl 0974.14023Johnson, Jennifer M.; Kollár, János 22 2001 An effective Łojasiewicz inequality for real polynomials. Zbl 0973.26012Kollár, János 22 1999 The structure of algebraic threefolds: An introduction to Mori’s program. Zbl 0649.14022Kollár, János 21 1987 Szemerédi-Trotter-type theorems in dimension 3. Zbl 1309.14042Kollár, János 21 2015 Remarks on degenerations of hyper-Kähler manifolds. (Remarques sur les dégénérescences des variétés hyper-kählériennes.) Zbl 1435.14038Kollár, János; Laza, Radu; Saccà, Giulia; Voisin, Claire 20 2018 Circle actions on simply connected 5-manifolds. Zbl 1094.57020Kollár, János 18 2006 Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014Kollár, János; Mori, Shigefumi 18 2008 Curve-rational functions. Zbl 1407.14056Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof 18 2018 Deformations of elliptic Calabi-Yau manifolds. Zbl 1326.14081Kollár, J. 18 2014 Congruences and one element subalgebras. Zbl 0407.08002Kollar, Janos 17 1979 Quotients of Calabi-Yau varieties. Zbl 1200.14074Kollár, János; Larsen, Michael 17 2009 Subadditivity of the Kodaira dimension: Fibers of general type. Zbl 0659.14024Kollár, János 16 1987 Conics in the Grothendieck ring. Zbl 1082.14022Kollár, János 16 2005 Effective Nullstellensatz for arbitrary ideals. Zbl 0986.14043Kollár, János 15 1999 Exercises in the birational geometry of algebraic varieties. Zbl 1221.14001Kollár, János 15 2010 Simultaneous normalization and algebra husks. Zbl 1246.14006Kollár, János 14 2011 Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres. Zbl 1135.53031Ghigi, Alessandro; Kollár, János 14 2007 Low degree polynomial equations: Arithmetic, geometry and topology. Zbl 0970.14001Kollár, János 14 1998 Flatness criteria. Zbl 0853.14008Kollár, János 14 1995 Rationally connected varieties over finite fields. Zbl 1077.14068Kollár, János; Szabó, Endre 13 2003 Holonomy groups of stable vector bundles. Zbl 1146.14023Balaji, V.; Kollár, János 13 2008 Log surfaces of general type; some conjectures. Zbl 0860.14014Kollár, János 13 1994 Homogeneous vector bundles and families of Calabi-Yau threefolds. II. Zbl 0748.14015Borcea, Ciprian 13 1991 Continuous solutions of linear equations. Zbl 1263.15003Fefferman, Charles; Kollár, János 12 2013 Automorphism groups of algebraic number fields. Zbl 0391.12005Fried, Ervin; Kollar, Janos 12 1978 Quadratic families of elliptic curves and unirationality of degree 1 conic bundles. Zbl 1388.14096Kollár, János; Mella, Massimiliano 12 2017 Arc spaces of \(cA\)-type singularities. Zbl 1293.32037Johnson, Jennifer M.; Kollár, János 12 2013 Rational curves on Fano varieties. Zbl 0776.14012Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi 12 1992 Polynomials with integral coefficients, equivalent to a given polynomial. Zbl 0867.11047Kollár, János 12 1997 Specialization of zero cycles. Zbl 1081.14008Kollár, János 11 2004 Quotients by finite equivalence relations. Zbl 1271.14002Kollár, János 11 2012 Semi-stable extensions over 1-dimensional bases. Zbl 1408.14061Kollár, János; Nicaise, Johannes; Xu, Chen Yang 11 2018 Volume and Hilbert functions of \(\mathbb{R}\)-divisors. Zbl 1353.14011Fulger, Mihai; Kollár, János; Lehmann, Brian 11 2016 Fundamental groups of links of isolated singularities. Zbl 1307.14005Kapovich, Michael; Kollár, János 11 2014 Real algebraic threefolds. III. Conic bundles. Zbl 0964.14014Kollár, János 11 1999 Which are the simplest algebraic varieties? Zbl 0978.14039Kollár, János 10 2001 Fundamental groups of rationally connected varieties. Zbl 1077.14520Kollár, János 10 2000 Cremona transformations and diffeomorphisms of surfaces. Zbl 1188.14008Kollár, János; Mangolte, Frédéric 10 2009 A conjecture of Ax and degenerations of Fano varieties. Zbl 1140.14009Kollár, János 10 2007 Examples of vanishing Gromov-Witten-Welschinger invariants. Zbl 1366.14049Kollár, János 10 2015 Fano hypersurfaces in weighted projective 4-spaces. Zbl 0972.14034Johnson, Jennifer M.; Kollár, János 9 2001 Einstein metrics on connected sums of \((S^2\times S^3)\). Zbl 1118.53026Kollár, János 9 2007 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 8 2005 Simple normal crossing varieties with prescribed dual complex. Zbl 1307.14059Kollár, János 8 2014 Log-plurigenera in stable families of surfaces. Zbl 1423.14221Kollár, János 7 2018 Injectivity and congruence extension property in congruence distributive equational classes. Zbl 0436.08003Kollar, Janos 7 1980 Rationally connected varieties and fundamental groups. Zbl 1075.14017Kollár, János 7 2003 Links of complex analytic singularities. Zbl 1318.32033Kollár, János 7 2013 The rigidity theorem of Fano-Segre-Iskovskikh-Manin-Pukhlikov-Corti-Cheltsov-de Fernex-Ein-Mustaţă-Zhuang. Zbl 1473.14080Kollár, János 7 2019 Real algebraic threefolds. II: Minimal model program. Zbl 0964.14013Kollár, János 7 1999 Sources of log canonical centers. Zbl 1369.14013Kollár, János 7 2016 Real algebraic threefolds. I: Terminal singularities. Zbl 0948.14013Kollár, János 6 1998 Real algebraic threefolds. IV: Del Pezzo fibrations. Zbl 1078.14088Kollár, János 6 2000 Automorphism groups of fields. Zbl 0501.20023Fried, E.; Kollar, J. 6 1982 Families of varieties of general type. With the collaboration of Klaus Altmann and Sándor J. Kovács. Zbl 07658187Kollár, János 2 2023 What determines an algebraic variety? Zbl 07637786Kollár, János; Lieblich, Max; Olsson, Martin; Sawin, Will 1 2023 On approximation of maps into real algebraic homogeneous spaces. Zbl 1489.14079Bochnak, Jacek; Kucharz, Wojciech; Kollár, János 2 2022 Moishezon morphisms. Zbl 1511.32006Kollár, János 1 2022 Seshadri’s criterion and openness of projectivity. Zbl 1491.14002Kollár, János 1 2022 Mumford’s influence on the moduli theory of algebraic varieties. Zbl 1476.14004Kollár, János 2 2021 Relative MMP without \(\mathbb{Q}\)-factoriality. Zbl 1481.14029Kollár, János 2 2021 Deformations of varieties of general type. Zbl 1495.32022Kollár, János 2 2021 Fundamental groups and path lifting for algebraic varieties. Zbl 1468.14047Kollár, János 1 2021 Subadditivity of Kodaira dimension does not hold in positive characteristic. Zbl 1489.14020Cascini, Paolo; Ejiri, Sho; Kollár, János; Zhang, Lei 1 2021 Deformations of log canonical and \(F\)-pure singularities. Zbl 1454.14008Kollár, János; Kovács, Sándor J. 6 2020 Pell surfaces. Zbl 07200111Kollár, János 5 2020 The Noether inequality for algebraic \(3\)-folds. With an appendix by János Kollár. Zbl 1454.14032Chen, Jungkai A.; Chen, Meng; Jiang, Chen 5 2020 Checking real analyticity on surfaces. Zbl 1436.32028Bochnak, Jacek; Kollár, János; Kucharz, Wojciech 4 2020 Moduli of polarized Calabi-Yau pairs. Zbl 1448.14018Kollár, János; Xu, Chen Yang 3 2020 The rigidity theorem of Fano-Segre-Iskovskikh-Manin-Pukhlikov-Corti-Cheltsov-de Fernex-Ein-Mustaţă-Zhuang. Zbl 1473.14080Kollár, János 7 2019 The dualizing sheaf on first-order deformations of toric surface singularities. Zbl 1422.14006Altmann, Klaus; Kollár, János 5 2019 Algebraic hypersurfaces. Zbl 1470.14085Kollár, János 4 2019 Partial resolution by toroidal blow-ups. Zbl 1408.14060Kollár, János 4 2019 Minimal models of semi-log-canonical pairs. Zbl 1439.14055Ambro, Florin; Kollár, János 3 2019 Remarks on degenerations of hyper-Kähler manifolds. (Remarques sur les dégénérescences des variétés hyper-kählériennes.) Zbl 1435.14038Kollár, János; Laza, Radu; Saccà, Giulia; Voisin, Claire 20 2018 Curve-rational functions. Zbl 1407.14056Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof 18 2018 Semi-stable extensions over 1-dimensional bases. Zbl 1408.14061Kollár, János; Nicaise, Johannes; Xu, Chen Yang 11 2018 Log-plurigenera in stable families of surfaces. Zbl 1423.14221Kollár, János 7 2018 Symmetric powers of Severi-Brauer varieties. Zbl 1423.14092Kollár, János 5 2018 Quadratic solutions of quadratic forms. Zbl 1401.14126Kollár, János 3 2018 Log-plurigenera in stable families. Zbl 1439.14035Kollár, János 2 2018 The dual complex of singularities. Zbl 1388.14107de Fernex, Tommaso; Kollár, János; Xu, Chenyang 28 2017 Quadratic families of elliptic curves and unirationality of degree 1 conic bundles. Zbl 1388.14096Kollár, János; Mella, Massimiliano 12 2017 Coherence of local and global hulls. Zbl 1388.13023Kollár, János 3 2017 Durfee’s conjecture on the signature of smoothings of surface singularities. (La conjecture de Durfee sur la signature des lissages des singularités des surfaces.) Zbl 1382.32020Kollár, János; Némethi, András 2 2017 Conic bundles that are not birational to numerical Calabi-Yau pairs. (Fibrés en coniques qui ne sont pas birationnels à des paires de Calabi-Yau numériques.) Zbl 1494.14053Kollár, János 2 2017 Nash’s work in algebraic geometry. Zbl 1359.14002Kollár, János 1 2017 The dual complex of Calabi-Yau pairs. Zbl 1360.14056Kollár, János; Xu, Chenyang 23 2016 Volume and Hilbert functions of \(\mathbb{R}\)-divisors. Zbl 1353.14011Fulger, Mihai; Kollár, János; Lehmann, Brian 11 2016 Sources of log canonical centers. Zbl 1369.14013Kollár, János 7 2016 Approximating curves on real rational surfaces. Zbl 1344.14035Kollár, János; Mangolte, Frédéric 4 2016 Variants of normality for Noetherian schemes. Zbl 1398.14008Kollár, János 4 2016 Maps between local Picard groups. Zbl 1376.14036Kollár, János 3 2016 Arcology. Zbl 1391.14029Johnson, Jennifer M.; Kollár, János 2 2016 Continuous rational functions on real and \(p\)-adic varieties. Zbl 1390.14178Kollár, János; Nowak, Krzysztof 41 2015 Szemerédi-Trotter-type theorems in dimension 3. Zbl 1309.14042Kollár, János 21 2015 Examples of vanishing Gromov-Witten-Welschinger invariants. Zbl 1366.14049Kollár, János 10 2015 Holomorphic arcs on singularities. Zbl 1342.32020Kollár, János; Némethi, András 5 2015 Neighborhoods of subvarieties in homogeneous spaces. Zbl 1360.14121Kollár, János 3 2015 Is there a curse of the Fields Medal? Zbl 1338.01086Kollár, János 1 2015 The Lefschetz property for families of curves. Zbl 1470.14052Kollár, János 1 2015 Deformations of elliptic Calabi-Yau manifolds. Zbl 1326.14081Kollár, J. 18 2014 Fundamental groups of links of isolated singularities. Zbl 1307.14005Kapovich, Michael; Kollár, János 11 2014 Simple normal crossing varieties with prescribed dual complex. Zbl 1307.14059Kollár, János 8 2014 Variety evasive sets. Zbl 1308.68166Dvir, Zeev; Kollár, János; Lovett, Shachar 4 2014 The structure of algebraic varieties. Zbl 1373.14001Kollár, János 3 2014 Semi-normal log centres and deformations of pairs. Zbl 1328.14061Kollár, János 3 2014 Singularities of the minimal model program. With the collaboration of Sándor Kovács. Zbl 1282.14028Kollár, János 169 2013 Moduli of varieties of general type. Zbl 1322.14006Kollár, János 50 2013 Continuous solutions of linear equations. Zbl 1263.15003Fefferman, Charles; Kollár, János 12 2013 Arc spaces of \(cA\)-type singularities. Zbl 1293.32037Johnson, Jennifer M.; Kollár, János 12 2013 Links of complex analytic singularities. Zbl 1318.32033Kollár, János 7 2013 Grothendieck-Lefschetz type theorems for the local Picard group. Zbl 1327.14045Kollár, János 2 2013 Quotients by finite equivalence relations. Zbl 1271.14002Kollár, János 11 2012 Continuous closure of sheaves. Zbl 1260.14019Kollár, János 6 2012 Homotopically trivial deformations. Zbl 1292.32003Fernández de Bobadilla, Javier; Kollár, János 4 2012 Algebraic varieties with semialgebraic universal cover. Zbl 1243.14008Kollár, János; Pardon, John 3 2012 Restrictions of stable bundles. Zbl 1386.14157Balaji, Vinoth; Kollár, János 1 2012 Simultaneous normalization and algebra husks. Zbl 1246.14006Kollár, János 14 2011 A local version of the Kawamata-Viehweg vanishing theorem. Zbl 1316.14039Kollár, János 5 2011 Two examples of surfaces with normal crossing singularities. Zbl 1241.14013Kollár, János 5 2011 How small can a polynomial be near infinity? Zbl 1209.14048Johnson, Jennifer M.; Kollár, János 3 2011 Log canonical singularities are Du Bois. Zbl 1202.14003Kollár, János; Kovács, Sándor J. 64 2010 Exercises in the birational geometry of algebraic varieties. Zbl 1221.14001Kollár, János 15 2010 Holomorphic and pseudo-holomorphic curves on rationally connected varieties. Zbl 1198.14050Kollár, János 3 2010 Lectures on flips and minimal models. Zbl 1218.14012Corti, Alessio; Hacking, Paul; Kollár; Lazarsfeld, Robert; Mustaţă, Mircea 1 2010 Quotients of Calabi-Yau varieties. Zbl 1200.14074Kollár, János; Larsen, Michael 17 2009 Cremona transformations and diffeomorphisms of surfaces. Zbl 1188.14008Kollár, János; Mangolte, Frédéric 10 2009 Positive Sasakian structures on 5-manifolds. Zbl 1179.53053Kollár, János 4 2009 Birational rigidity of Fano varieties and field extensions. Zbl 1312.14040Kollár, János 3 2009 Is there a topological Bogomolov-Miyaoka-Yau inequality? Zbl 1145.14031Kollár, János 27 2008 Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014Kollár, János; Mori, Shigefumi 18 2008 Holonomy groups of stable vector bundles. Zbl 1146.14023Balaji, V.; Kollár, János 13 2008 Looking for rational curves on cubic hypersurfaces. Zbl 1182.14014Kollár, János; Derenthal, Ulrich 5 2008 Diophantine subsets of function fields of curves. Zbl 1178.11075Kollár, János 5 2008 Lectures on resolution of singularities. Zbl 1113.14013Kollár, János 174 2007 Kodaira’s canonical bundle formula and adjunction. Zbl 1286.14027Kollár, János 28 2007 Flips for 3-folds and 4-folds. Zbl 05175029 27 2007 Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres. Zbl 1135.53031Ghigi, Alessandro; Kollár, János 14 2007 A conjecture of Ax and degenerations of Fano varieties. Zbl 1140.14009Kollár, János 10 2007 Einstein metrics on connected sums of \((S^2\times S^3)\). Zbl 1118.53026Kollár, János 9 2007 Algebraic varieties over PAC fields. Zbl 1143.12003Kollár, János 2 2007 Circle actions on simply connected 5-manifolds. Zbl 1094.57020Kollár, János 18 2006 Non-quasi-projective moduli spaces. Zbl 1140.14011Kollár, János 5 2006 Einstein metrics on spheres. Zbl 1093.53044Boyer, Charles P.; Galicki, Krzysztof; Kollár, János 58 2005 Einstein metrics on five-dimensional Seifert bundles. Zbl 1082.53041Kollár, János 29 2005 Conics in the Grothendieck ring. Zbl 1082.14022Kollár, János 16 2005 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 8 2005 Rational and nearly rational varieties. Zbl 1060.14073Kollár, János; Smith, Karen E.; Corti, Alessio 82 2004 Specialization of zero cycles. Zbl 1081.14008Kollár, János 11 2004 Real Fano 3-folds of type \(V_{22}\). Zbl 1070.14058Kollár, János; Schreyer, Frank-Olaf 6 2004 The Nash problem on arc families of singularities. Zbl 1052.14011Ishii, Shihoko; Kollár, János 51 2003 Rational curves on varieties. Zbl 1080.14521Araujo, Carolina; Kollár, János 23 2003 Rationally connected varieties over finite fields. Zbl 1077.14068Kollár, János; Szabó, Endre 13 2003 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,241 Authors 50 Kollár, János 37 Cheltsov, Ivan Anatol’evich 32 Hacon, Christopher Derek 32 Xu, Chenyang 30 Zhang, De-Qi 29 Fujino, Osamu 27 Prokhorov, Yuriĭ Gennad’evich 26 Peternell, Thomas Martin 24 Campana, Frédéric 23 Kucharz, Wojciech 21 Biswas, Indranil 20 Schwede, Karl E. 18 Boyer, Charles P. 18 Guan, Qi’an 17 Chen, Jungkai Alfred 17 Kovács, Sándor J. 16 Cascini, Paolo 16 Chen, Meng 16 Kebekus, Stefan 16 Liu, Yuchen 16 Park, Jihun 16 Shramov, Konstantin Aleksandrovich 15 Höring, Andreas 15 Tanaka, Hiromu 14 Druel, Stéphane 14 Gongyo, Yoshinori 14 Mustaţă, Mircea 14 Schröer, Stefan 13 de Fernex, Tommaso 13 Fujita, Kento 13 Li, Chi 12 Hassett, Brendan 12 Lehmann, Brian 12 Occhetta, Gianluca 12 Patakfalvi, Zsolt 12 Paun, Mihai 12 Urzúa, Giancarlo 12 Voisin, Claire 12 Won, Joonyeong 12 Zhou, Xiangyu 12 Zhuang, Ziquan 11 Alexeev, Valery A. 11 Boucksom, Sébastien 11 Graf, Patrick 11 Hwang, Jun-Muk 11 Jonsson, Mattias 11 Kurdyka, Krzysztof 11 Matsumura, Shin-ichi 11 Mori, Shigefumi 11 Nicaise, Johannes 11 Popa, Mihnea 11 Rollenske, Sönke 11 Schreieder, Stefan 11 Takagi, Shunsuke 10 Andreatta, Marco 10 Araujo, Carolina 10 Birkar, Caucher 10 Colliot-Thélène, Jean-Louis 10 Hacking, Paul 10 Ishii, Shihoko 10 Lee, Yongnam 10 Phạm Hoàng Hiệp 10 Pukhlikov, Aleksandr Valentinovich 10 Viehweg, Eckart 10 Watanabe, Kiwamu 9 Borisov, Lev A. 9 Demailly, Jean-Pierre 9 Ein, Lawrence Man Hon 9 Guenancia, Henri 9 Jiang, Chen 9 Keum, Jonghae 9 Mangolte, Frédéric 9 Okada, Takuzo 9 Svaldi, Roberto 9 Totaro, Burt 8 Abramovich, Dan 8 Berman, Robert J. 8 Blanc, Jérémy 8 Brion, Michel 8 Catanese, Fabrizio M. E. 8 Dubouloz, Adrien 8 Eyssidieux, Philippe 8 Han, Jingjun 8 Keel, Sean 8 Kim, In-Kyun 8 Laza, Radu 8 Lazić, Vladimir 8 Liu, Jie 8 McKernan, James 8 Meng, Sheng 8 Moraga Saez, Joaquín Leonardo 8 Núñez-Betancourt, Luis 8 Odaka, Yuji 8 Park, Heesang 8 Park, Jinhyung 8 Phạm Tiên So’n 8 Reguera, Ana-José 8 Shin, Dongsoo 8 Solá-Conde, Luis-Eduardo 8 Spodzieja, Stanisław ...and 2,141 more Authors all top 5 Cited in 276 Serials 142 Mathematische Zeitschrift 139 Mathematische Annalen 125 Advances in Mathematics 105 Journal of Algebraic Geometry 101 Transactions of the American Mathematical Society 86 Inventiones Mathematicae 79 Annales de l’Institut Fourier 78 Proceedings of the American Mathematical Society 73 Duke Mathematical Journal 73 International Journal of Mathematics 72 Journal of Algebra 71 Manuscripta Mathematica 69 Compositio Mathematica 69 Journal für die Reine und Angewandte Mathematik 60 Journal of Pure and Applied Algebra 54 European Journal of Mathematics 45 Journal of the American Mathematical Society 39 Communications in Algebra 33 Annals of Mathematics. Second Series 32 Nagoya Mathematical Journal 32 Geometry & Topology 31 Comptes Rendus. Mathématique. Académie des Sciences, Paris 30 Geometriae Dedicata 28 The Journal of Geometric Analysis 27 Publications of the Research Institute for Mathematical Sciences, Kyoto University 27 Forum of Mathematics, Sigma 23 Selecta Mathematica. New Series 22 Michigan Mathematical Journal 21 Journal of the European Mathematical Society (JEMS) 20 Algebra & Number Theory 19 Journal of High Energy Physics 19 Journal of the Institute of Mathematics of Jussieu 18 Communications in Mathematical Physics 18 Bulletin de la Société Mathématique de France 18 Proceedings of the Japan Academy. Series A 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 16 Communications in Contemporary Mathematics 16 Science China. Mathematics 15 Archiv der Mathematik 15 Journal of the Mathematical Society of Japan 15 Bulletin of the American Mathematical Society. New Series 15 Transformation Groups 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 15 Journal de l’École Polytechnique – Mathématiques 14 Tôhoku Mathematical Journal. Second Series 14 Kyoto Journal of Mathematics 13 Israel Journal of Mathematics 13 Osaka Journal of Mathematics 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Journal of the London Mathematical Society. Second Series 12 Journal of Symbolic Computation 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Documenta Mathematica 11 Algebra Universalis 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Memoirs of the American Mathematical Society 11 Proceedings of the Edinburgh Mathematical Society. Series II 10 Mathematical Notes 10 Bulletin of the London Mathematical Society 10 Mathematische Nachrichten 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Journal of Mathematical Sciences (New York) 10 Central European Journal of Mathematics 10 Proceedings of the Steklov Institute of Mathematics 9 Journal of Combinatorial Theory. Series B 9 Annals of Global Analysis and Geometry 9 Discrete & Computational Geometry 9 Differential Geometry and its Applications 9 Advances in Geometry 9 Bollettino dell’Unione Matematica Italiana 8 Discrete Mathematics 8 Revista Matemática Iberoamericana 8 Bulletin des Sciences Mathématiques 8 Sbornik: Mathematics 8 Complex Manifolds 7 Journal of Geometry and Physics 7 Beiträge zur Algebra und Geometrie 7 Publications Mathématiques 7 Journal of Number Theory 7 Geometric and Functional Analysis. GAFA 7 Acta Mathematica Sinica. English Series 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Forum of Mathematics, Pi 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Acta Mathematica 6 Acta Mathematica Vietnamica 6 Journal of Complexity 6 Journal de Théorie des Nombres de Bordeaux 6 Izvestiya: Mathematics 6 Taiwanese Journal of Mathematics 6 Milan Journal of Mathematics 6 Journal of Commutative Algebra 6 Japanese Journal of Mathematics. 3rd Series 6 Peking Mathematical Journal 5 Journal of Mathematical Analysis and Applications 5 Mathematics of Computation 5 American Journal of Mathematics 5 Collectanea Mathematica 5 Journal of Differential Geometry ...and 176 more Serials all top 5 Cited in 54 Fields 2,418 Algebraic geometry (14-XX) 714 Several complex variables and analytic spaces (32-XX) 295 Differential geometry (53-XX) 221 Commutative algebra (13-XX) 163 Number theory (11-XX) 81 Combinatorics (05-XX) 78 Manifolds and cell complexes (57-XX) 77 Group theory and generalizations (20-XX) 62 Dynamical systems and ergodic theory (37-XX) 60 Field theory and polynomials (12-XX) 51 Computer science (68-XX) 47 Global analysis, analysis on manifolds (58-XX) 40 Quantum theory (81-XX) 37 Category theory; homological algebra (18-XX) 37 Convex and discrete geometry (52-XX) 35 Mathematical logic and foundations (03-XX) 35 Associative rings and algebras (16-XX) 34 General algebraic systems (08-XX) 32 Algebraic topology (55-XX) 28 Real functions (26-XX) 20 Geometry (51-XX) 19 Topological groups, Lie groups (22-XX) 18 Functions of a complex variable (30-XX) 15 \(K\)-theory (19-XX) 15 Relativity and gravitational theory (83-XX) 13 History and biography (01-XX) 11 General and overarching topics; collections (00-XX) 11 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Nonassociative rings and algebras (17-XX) 9 Numerical analysis (65-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 8 General topology (54-XX) 7 Potential theory (31-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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