Edit Profile (opens in new tab) Mustaţă, Mircea Co-Author Distance Author ID: mustata.mircea Published as: Mustaţă, Mircea; Mustaţǎ, Mircea; Mustata, Mircea; Mustaţa, Mircea; Mustaţǎ, M. more...less Further Spellings: Mustaţă, Mircea Immanuel Homepage: http://www-personal.umich.edu/~mmustata/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 95 Publications since 1996, including 1 Book and 9 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 61 Co-Authors with 86 Joint Publications 1,307 Co-Co-Authors all top 5 Co-Authors 16 single-authored 22 Popa, Mihnea 17 Ein, Lawrence Man Hon 9 de Fernex, Tommaso 7 Dirks, Bradley 7 Lazarsfeld, Robert Kendall 4 Budur, Nero 4 Chen, Qianyu 4 Nakamaye, Michael 4 Olano, Sebastián 4 Payne, Sam 3 Cluckers, Raf 3 Hering, Milena 3 Jonsson, Mattias 3 McKernan, James 3 Saito, Morihiko 2 Aluffi, Paolo 2 Anderson, Dave Edward 2 Blickle, Manuel 2 Caporaso, Lucia 2 Cascini, Paolo 2 Hacon, Christopher Derek 2 Hassett, Brendan 2 Kollár, János 2 McNeal, Jeffery D. 2 Olsson, Martin C. 2 Schwede, Karl E. 2 Smith, Gregory G. 2 Smith, Karen E. 2 Takagi, Shunsuke 2 Thomas, Richard Paul 2 Tsai, Harrison 2 Walther, Uli 2 Watanabe, Kei-ichi 1 Bhatt, Bhargav 1 Corti, Alessio 1 Cox, David A. 1 de Cataldo, Mark Andrea A. 1 Eisenbud, David 1 Elduque, Eva 1 Farkas, Gavril 1 Hacking, Paul 1 Hernández, Daniel J. 1 Howald, Jason 1 Huneke, Craig L. 1 Ishii, Shihoko 1 Krasauskas, Rimvydas 1 Libgober, Anatoly S. 1 Migliorini, Luca 1 Miller, Lance Edward 1 Nakamura, Yusuke 1 Nguyen, Kien Huu 1 Nicaise, Johannes 1 Schenck, Hal 1 Srinivas, Vasudevan 1 Stillman, Michael Eugene 1 Szemberg, Tomasz 1 Teitler, Zach 1 Witaszek, Jakub 1 Yasuda, Takehiko 1 Yoshida, Ken-ichi 1 Yuen, Cornelia 1 Zhang, Wenliang all top 5 Serials 4 Journal of Algebra 4 Proceedings of the American Mathematical Society 3 American Journal of Mathematics 3 Annales de l’Institut Fourier 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Inventiones Mathematicae 3 Nagoya Mathematical Journal 3 Transactions of the American Mathematical Society 3 Mathematical Research Letters 3 London Mathematical Society Lecture Note Series 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Journal of Symbolic Computation 2 IMRN. International Mathematics Research Notices 2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 Journal of Algebraic Geometry 2 Journal of the Institute of Mathematics of Jussieu 2 Mathematical Sciences Research Institute Publications 2 Proceedings of Symposia in Pure Mathematics 2 Algebra & Number Theory 2 Forum of Mathematics, Pi 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Algebra 1 Le Matematiche 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Journal of the American Mathematical Society 1 Sbornik: Mathematics 1 RIMS Kokyuroku 1 Journal of the European Mathematical Society (JEMS) 1 Pure and Applied Mathematics Quarterly 1 IAS/Park City Mathematics Series 1 Journal of Singularities 1 Forum of Mathematics, Sigma 1 Algebraic Geometry all top 5 Fields 96 Algebraic geometry (14-XX) 26 Several complex variables and analytic spaces (32-XX) 23 Commutative algebra (13-XX) 8 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Convex and discrete geometry (52-XX) 2 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,990 times in 1,181 Documents Cited by ▼ Year ▼ Convex bodies associated to linear series. Zbl 1182.14004 Lazarsfeld, Robert; Mustaţă, Mircea 215 2009 Asymptotic invariants of base loci. Zbl 1127.14010 Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea 108 2006 Valuations and asymptotic invariants for sequences of ideals. (Valuations et invariants asymptotiques pour les suites graduées d’idéaux.) Zbl 1272.14016 Jonsson, Mattias; Mustaţă, Mircea 97 2012 Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013 Blickle, Manuel; Mustata, Mircea; Smith, Karen E. 85 2008 Jet schemes of locally complete intersection canonical singularities. Zbl 1091.14004 Mustaţă, Mircea 85 2001 Restricted volumes and base loci of linear series. Zbl 1179.14006 Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea 81 2009 Jet schemes and singularities. Zbl 1181.14019 Ein, Lawrence; Mustaţă, Mircea 58 2009 Vanishing theorems on toric varieties. Zbl 1092.14064 Mustaţă, Mircea 53 2002 Bounds for log canonical thresholds with applications to birational rigidity. Zbl 1067.14013 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 52 2003 Singularities of pairs via jet schemes. Zbl 0998.14009 Mustaţă, Mircea 50 2002 \(F\)-thresholds of hypersurfaces. Zbl 1193.13003 Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E. 49 2009 \(F\)-thresholds and Bernstein-Sato polynomials. Zbl 1092.32014 Mustaţă, Mircea; Takagi, Shunsuke; Watanabe, Kei-ichi 49 2005 On multiplicities of graded sequences of ideals. Zbl 1076.13500 Mustaţǎ, Mircea 47 2002 Weight functions on non-Archimedean analytic spaces and the Kontsevich-Soibelman skeleton. Zbl 1322.14044 Mustaţă, Mircea; Nicaise, Johannes 45 2015 Multiplicities and log canonical threshold. Zbl 1068.14006 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 44 2004 Bernstein-Sato polynomials of arbitrary varieties. Zbl 1112.32014 Budur, Nero; Mustaţă, Mircea; Saito, Morihiko 43 2006 Cohomology and toric varieties and local cohomology with monomial supports. Zbl 1044.14028 Eisenbud, David; Mustaţǎ, Mircea; Stillman, Mike 40 2000 Contact loci in arc spaces. Zbl 1060.14004 Ein, Lawrence; Lazarsfeld, Robert; Mustaţǎ, Mircea 37 2004 Shokurov’s ACC conjecture for log canonical thresholds on smooth varieties. Zbl 1189.14044 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 36 2010 Inversion of adjunction for local complete intersection varieties. Zbl 1087.14012 Ein, Lawrence; Mustaţǎ, Mircea 36 2004 Positivity properties of toric vector bundles. Zbl 1204.14024 Hering, Milena; Mustaţă, Mircea; Payne, Sam 36 2010 Jet schemes, log discrepancies and inversion of adjunction. Zbl 1049.14008 Ein, Lawrence; Mustaţă, Mircea; Yasuda, Takehiko 35 2003 Ordinary varieties and the comparison between multiplier ideals and test ideals. Zbl 1239.14011 Mustaţă, Mircea; Srinivas, Vasudevan 31 2011 Local cohomology at monomial ideals. Zbl 0966.13010 Mustaţǎ, Mircea 28 2000 The module of logarithmic \(p\)-forms of a locally free arrangement. Zbl 1047.14007 Mustaţǎ, Mircea; Schenck, Henry K. 23 2001 An algebraic approach to the openness conjecture of demailly and Kollár. Zbl 1314.32047 Jonsson, Mattias; Mustaţă, Mircea 22 2014 Hodge ideals for \(\mathbb{Q} \)-divisors, \(V\)-filtration, and minimal exponent. Zbl 1451.14055 Mustaţă, Mircea; Popa, Mihnea 22 2020 IMPANGA lecture notes on log canonical thresholds. Zbl 1271.14025 Mustaţă, Mircea 22 2012 Asymptotic invariants of line bundles. Zbl 1139.14008 Ein, L.; Lazarsfeld, R.; Mustaţǎ, M.; Nakamaye, M.; Popa, M. 21 2005 Log canonical thresholds on varieties with bounded singularities. Zbl 1215.14007 de Fernex, Tommaso; Ein, Lawrence; Mustaţa, Mircea 21 2011 Hodge ideals. Zbl 1442.14004 Mustaţă, Mircea; Popa, Mihnea 21 2019 The non-nef locus in positive characteristic. Zbl 1317.13011 Mustaţă, Mircea 20 2013 Ehrhart polynomials and stringy Betti numbers. Zbl 1082.52007 Mustaţǎ, Mircea; Payne, Sam 19 2005 Combinatorics and topology of proper toric maps. Zbl 1408.14159 de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea 18 2018 The monodromy conjecture for hyperplane arrangements. Zbl 1227.32035 Budur, Nero; Mustaţă, Mircea; Teitler, Zach 18 2011 Limits of log canonical thresholds. Zbl 1186.14007 de Fernex, Tommaso; Mustaţă, Mircea 17 2009 Divisors on \(\mathcal M_{g,g+1}\) and the minimal resolution conjecture for points on canonical curves. Zbl 1063.14031 Farkas, Gavril; Mustaţǎ, Mircea; Popa, Mihnea 17 2003 A boundedness conjecture for minimal log discrepancies on a fixed germ. Zbl 1397.14008 Mustaţă, Mircea; Nakamura, Yusuke 16 2018 Multiplier ideals of hyperplane arrangements. Zbl 1126.14003 Mustaţă, Mircea 15 2006 Hodge ideals for \(\mathbf{Q}\)-divisors: birational approach. (Idéaux de Hodge pour des \(\mathbf{Q}\)-diviseurs: approche birationnelle.) Zbl 1427.14045 Mustaţǎ, Mircea; Popa, Mihnea 15 2019 Bernstein-Sato polynomials in positive characteristic. Zbl 1157.32012 Mustaţă, Mircea 14 2009 F-thresholds, tight closure, integral closure, and multiplicity bounds. Zbl 1186.13002 Huneke, Craig; Mustata, Mircea; Takagi, Shunsuke; Watanabe, Ken-Ichi 14 2008 The augmented base locus in positive characteristic. Zbl 1290.14006 Cascini, Paolo; McKernan, James; Mustaţă, Mircea 13 2014 On the numerical dimension of pseudo-effective divisors in positive characteristic. Zbl 1409.14042 Cascini, Paolo; Hacon, Christopher; Mustaţă, Mircea; Schwede, Karl 11 2014 Invariants of singularities of pairs. Zbl 1096.14030 Ein, Lawrence; Mustaţǎ, Mircea 11 2006 On Igusa zeta functions of monomial ideals. Zbl 1140.14003 Howald, Jason; Mustata, Mircea; Yuen, Cornelia 11 2007 Graded Betti numbers of general finite subsets of points on projective varieties. Zbl 0943.13010 Mustaţǎ, Mircea 10 1998 Test ideals vs. multiplier ideals. Zbl 1162.13004 Mustaţă, Mircea; Yoshida, Ken-Ichi 10 2009 Hodge filtration, minimal exponent, and local vanishing. Zbl 1446.14009 Mustaţă, Mircea; Popa, Mihnea 10 2020 Igusa’s conjecture for exponential sums: optimal estimates for nonrational singularities. Zbl 1454.11146 Cluckers, Raf; Mustaţă, Mircea; Nguyen, Kien Huu 10 2019 The multiplier ideals of a sum of ideals. Zbl 1015.14003 Mustata, Mircea 10 2002 Multiplier ideals via Mather discrepancy. Zbl 1369.14028 Ein, Lawrence; Ishii, Shihoko; Mustaţă, Mircea 9 2016 Restriction, subadditivity, and semicontinuity theorems for Hodge ideals. Zbl 1408.14074 Mustaţă, Mircea; Popa, Mihnea 9 2018 Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals. Zbl 1115.32018 Budur, Nero; Mustaţǎ, Mircea; Saito, Morihiko 7 2006 Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension. Zbl 1511.14010 Mustaţă, Mircea; Popa, Mihnea 7 2022 The volume of a set of arcs on a variety. Zbl 1389.13061 de Fernex, Tommaso; Mustaţă, Mircea 6 2015 A Frobenius variant of Seshadri constants. Zbl 1296.14007 Mustaţă, Mircea; Schwede, Karl 6 2014 Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach. Zbl 1093.14005 Budur, Nero; Mustaţă, Mircea; Saito, Morihiko 6 2006 Sequences of LCT-polytopes. Zbl 1291.14039 Libgober, Anatoly; Mustaţă, Mircea 6 2011 The Du Bois complex of a hypersurface and the minimal exponent. Zbl 1518.14029 Mustaţă, Mircea; Olano, Sebastián; Popa, Mihnea; Witaszek, Jakub 6 2023 Ordinary varieties and the comparison between multiplier ideals and test ideals. II. Zbl 1256.13003 Mustaţă, Mircea 5 2012 Local vanishing and Hodge filtration for rational singularities. Zbl 1443.14040 Mustaţă, Mircea; Olano, Sebastián; Popa, Mihnea 5 2020 Upper bounds for roots of \(b\)-functions, following Kashiwara and Lichtin. Zbl 1503.14021 Dirks, Bradley; Mustaţă, Mircea 5 2022 Hodge ideals and minimal exponents of ideals. Zbl 1513.14004 Mustaţă, Mircea; Popa, Mihnea 4 2020 Bernstein-Sato polynomials for general ideals vs. principal ideals. Zbl 1491.14030 Mustaţă, Mircea 4 2022 The dimension of jet schemes of singular varieties. Zbl 1373.14018 Mustaţă, Mircea 3 2014 A new proof of a theorem of A. Van de Ven. Zbl 0895.14004 Mustaţă, Mircea; Popa, Mihnea 3 1997 Universal rational parametrizations and toric varieties. Zbl 1080.14539 Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 3 2003 \({\mathcal D}\)-modules on smooth toric varieties. Zbl 0981.14023 Mustaţă, Mircea; Smith, Gregory G.; Tsai, Harrison; Walther, Uli 3 2001 Minimal exponents of hyperplane sections: a conjecture of Teissier. Zbl 1539.14037 Dirks, Bradley; Mustaţă, Mircea 3 2023 Recent advances in algebraic geometry. A volume in honor of Rob Lazarsfeld’s 60th birthday. Based on the conference, Ann Arbor, MI, USA, May 16–19, 2013. Zbl 1318.14002 2 2014 Generically finite morphisms and formal neighborhoods of arcs. Zbl 1168.14005 Ein, Lawrence; Mustaţă, Mircea 2 2009 The Hilbert series of Hodge ideals of hyperplane arrangements. Zbl 1445.14032 Dirks, Bradley; Mustaţă, Mircea 2 2020 Introduction to resolution of singularities. Zbl 1246.14024 Mustaţă, Mircea 2 2010 Estimates for \(F\)-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers. Zbl 1328.13007 Mustaţă, Mircea; Zhang, Wenliang 2 2013 On a conjecture of Teissier: the case of log canonical thresholds. Zbl 1470.14010 Elduque, Eva; Mustaţă, Mircea 2 2021 Log canonical thresholds, \(F\)-pure thresholds, and nonstandard extensions. Zbl 1262.13006 Bhatt, Bhargav; Hernández, Daniel J.; Miller, Lance Edward; Mustaţă, Mircea 2 2012 A new proof of a theorem of A. Van de Ven. Zbl 0895.14003 Mustaţă, Mircea; Popa, Mihnea 1 1996 Current developments in algebraic geometry. Selected papers based on the presentations at the workshop “Classical algebraic geometry today”, MSRI, Berkeley, CA, USA, January 26–30, 2009. Zbl 1242.14002 1 2012 Lectures on flips and minimal models. Zbl 1218.14012 Corti, Alessio; Hacking, Paul; Kollár; Lazarsfeld, Robert; Mustaţă, Mircea 1 2010 \(V\)-filtrations and minimal exponents for local complete intersections. Zbl 07856540 Chen, Qianyu; Dirks, Bradley; Mustaţă, Mircea; Olano, Sebastián 1 2024 Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 1. Zbl 1392.14001 1 2018 \(V\)-filtrations and minimal exponents for local complete intersections. Zbl 07856540 Chen, Qianyu; Dirks, Bradley; Mustaţă, Mircea; Olano, Sebastián 1 2024 The Du Bois complex of a hypersurface and the minimal exponent. Zbl 1518.14029 Mustaţă, Mircea; Olano, Sebastián; Popa, Mihnea; Witaszek, Jakub 6 2023 Minimal exponents of hyperplane sections: a conjecture of Teissier. Zbl 1539.14037 Dirks, Bradley; Mustaţă, Mircea 3 2023 Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension. Zbl 1511.14010 Mustaţă, Mircea; Popa, Mihnea 7 2022 Upper bounds for roots of \(b\)-functions, following Kashiwara and Lichtin. Zbl 1503.14021 Dirks, Bradley; Mustaţă, Mircea 5 2022 Bernstein-Sato polynomials for general ideals vs. principal ideals. Zbl 1491.14030 Mustaţă, Mircea 4 2022 On a conjecture of Teissier: the case of log canonical thresholds. Zbl 1470.14010 Elduque, Eva; Mustaţă, Mircea 2 2021 Hodge ideals for \(\mathbb{Q} \)-divisors, \(V\)-filtration, and minimal exponent. Zbl 1451.14055 Mustaţă, Mircea; Popa, Mihnea 22 2020 Hodge filtration, minimal exponent, and local vanishing. Zbl 1446.14009 Mustaţă, Mircea; Popa, Mihnea 10 2020 Local vanishing and Hodge filtration for rational singularities. Zbl 1443.14040 Mustaţă, Mircea; Olano, Sebastián; Popa, Mihnea 5 2020 Hodge ideals and minimal exponents of ideals. Zbl 1513.14004 Mustaţă, Mircea; Popa, Mihnea 4 2020 The Hilbert series of Hodge ideals of hyperplane arrangements. Zbl 1445.14032 Dirks, Bradley; Mustaţă, Mircea 2 2020 Hodge ideals. Zbl 1442.14004 Mustaţă, Mircea; Popa, Mihnea 21 2019 Hodge ideals for \(\mathbf{Q}\)-divisors: birational approach. (Idéaux de Hodge pour des \(\mathbf{Q}\)-diviseurs: approche birationnelle.) Zbl 1427.14045 Mustaţǎ, Mircea; Popa, Mihnea 15 2019 Igusa’s conjecture for exponential sums: optimal estimates for nonrational singularities. Zbl 1454.11146 Cluckers, Raf; Mustaţă, Mircea; Nguyen, Kien Huu 10 2019 Combinatorics and topology of proper toric maps. Zbl 1408.14159 de Cataldo, Mark Andrea; Migliorini, Luca; Mustaţă, Mircea 18 2018 A boundedness conjecture for minimal log discrepancies on a fixed germ. Zbl 1397.14008 Mustaţă, Mircea; Nakamura, Yusuke 16 2018 Restriction, subadditivity, and semicontinuity theorems for Hodge ideals. Zbl 1408.14074 Mustaţă, Mircea; Popa, Mihnea 9 2018 Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 1. Zbl 1392.14001 1 2018 Multiplier ideals via Mather discrepancy. Zbl 1369.14028 Ein, Lawrence; Ishii, Shihoko; Mustaţă, Mircea 9 2016 Weight functions on non-Archimedean analytic spaces and the Kontsevich-Soibelman skeleton. Zbl 1322.14044 Mustaţă, Mircea; Nicaise, Johannes 45 2015 The volume of a set of arcs on a variety. Zbl 1389.13061 de Fernex, Tommaso; Mustaţă, Mircea 6 2015 An algebraic approach to the openness conjecture of demailly and Kollár. Zbl 1314.32047 Jonsson, Mattias; Mustaţă, Mircea 22 2014 The augmented base locus in positive characteristic. Zbl 1290.14006 Cascini, Paolo; McKernan, James; Mustaţă, Mircea 13 2014 On the numerical dimension of pseudo-effective divisors in positive characteristic. Zbl 1409.14042 Cascini, Paolo; Hacon, Christopher; Mustaţă, Mircea; Schwede, Karl 11 2014 A Frobenius variant of Seshadri constants. Zbl 1296.14007 Mustaţă, Mircea; Schwede, Karl 6 2014 The dimension of jet schemes of singular varieties. Zbl 1373.14018 Mustaţă, Mircea 3 2014 Recent advances in algebraic geometry. A volume in honor of Rob Lazarsfeld’s 60th birthday. Based on the conference, Ann Arbor, MI, USA, May 16–19, 2013. Zbl 1318.14002 2 2014 The non-nef locus in positive characteristic. Zbl 1317.13011 Mustaţă, Mircea 20 2013 Estimates for \(F\)-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers. Zbl 1328.13007 Mustaţă, Mircea; Zhang, Wenliang 2 2013 Valuations and asymptotic invariants for sequences of ideals. (Valuations et invariants asymptotiques pour les suites graduées d’idéaux.) Zbl 1272.14016 Jonsson, Mattias; Mustaţă, Mircea 97 2012 IMPANGA lecture notes on log canonical thresholds. Zbl 1271.14025 Mustaţă, Mircea 22 2012 Ordinary varieties and the comparison between multiplier ideals and test ideals. II. Zbl 1256.13003 Mustaţă, Mircea 5 2012 Log canonical thresholds, \(F\)-pure thresholds, and nonstandard extensions. Zbl 1262.13006 Bhatt, Bhargav; Hernández, Daniel J.; Miller, Lance Edward; Mustaţă, Mircea 2 2012 Current developments in algebraic geometry. Selected papers based on the presentations at the workshop “Classical algebraic geometry today”, MSRI, Berkeley, CA, USA, January 26–30, 2009. Zbl 1242.14002 1 2012 Ordinary varieties and the comparison between multiplier ideals and test ideals. Zbl 1239.14011 Mustaţă, Mircea; Srinivas, Vasudevan 31 2011 Log canonical thresholds on varieties with bounded singularities. Zbl 1215.14007 de Fernex, Tommaso; Ein, Lawrence; Mustaţa, Mircea 21 2011 The monodromy conjecture for hyperplane arrangements. Zbl 1227.32035 Budur, Nero; Mustaţă, Mircea; Teitler, Zach 18 2011 Sequences of LCT-polytopes. Zbl 1291.14039 Libgober, Anatoly; Mustaţă, Mircea 6 2011 Shokurov’s ACC conjecture for log canonical thresholds on smooth varieties. Zbl 1189.14044 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 36 2010 Positivity properties of toric vector bundles. Zbl 1204.14024 Hering, Milena; Mustaţă, Mircea; Payne, Sam 36 2010 Introduction to resolution of singularities. Zbl 1246.14024 Mustaţă, Mircea 2 2010 Lectures on flips and minimal models. Zbl 1218.14012 Corti, Alessio; Hacking, Paul; Kollár; Lazarsfeld, Robert; Mustaţă, Mircea 1 2010 Convex bodies associated to linear series. Zbl 1182.14004 Lazarsfeld, Robert; Mustaţă, Mircea 215 2009 Restricted volumes and base loci of linear series. Zbl 1179.14006 Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea 81 2009 Jet schemes and singularities. Zbl 1181.14019 Ein, Lawrence; Mustaţă, Mircea 58 2009 \(F\)-thresholds of hypersurfaces. Zbl 1193.13003 Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E. 49 2009 Limits of log canonical thresholds. Zbl 1186.14007 de Fernex, Tommaso; Mustaţă, Mircea 17 2009 Bernstein-Sato polynomials in positive characteristic. Zbl 1157.32012 Mustaţă, Mircea 14 2009 Test ideals vs. multiplier ideals. Zbl 1162.13004 Mustaţă, Mircea; Yoshida, Ken-Ichi 10 2009 Generically finite morphisms and formal neighborhoods of arcs. Zbl 1168.14005 Ein, Lawrence; Mustaţă, Mircea 2 2009 Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013 Blickle, Manuel; Mustata, Mircea; Smith, Karen E. 85 2008 F-thresholds, tight closure, integral closure, and multiplicity bounds. Zbl 1186.13002 Huneke, Craig; Mustata, Mircea; Takagi, Shunsuke; Watanabe, Ken-Ichi 14 2008 On Igusa zeta functions of monomial ideals. Zbl 1140.14003 Howald, Jason; Mustata, Mircea; Yuen, Cornelia 11 2007 Asymptotic invariants of base loci. Zbl 1127.14010 Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea 108 2006 Bernstein-Sato polynomials of arbitrary varieties. Zbl 1112.32014 Budur, Nero; Mustaţă, Mircea; Saito, Morihiko 43 2006 Multiplier ideals of hyperplane arrangements. Zbl 1126.14003 Mustaţă, Mircea 15 2006 Invariants of singularities of pairs. Zbl 1096.14030 Ein, Lawrence; Mustaţǎ, Mircea 11 2006 Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals. Zbl 1115.32018 Budur, Nero; Mustaţǎ, Mircea; Saito, Morihiko 7 2006 Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach. Zbl 1093.14005 Budur, Nero; Mustaţă, Mircea; Saito, Morihiko 6 2006 \(F\)-thresholds and Bernstein-Sato polynomials. Zbl 1092.32014 Mustaţă, Mircea; Takagi, Shunsuke; Watanabe, Kei-ichi 49 2005 Asymptotic invariants of line bundles. Zbl 1139.14008 Ein, L.; Lazarsfeld, R.; Mustaţǎ, M.; Nakamaye, M.; Popa, M. 21 2005 Ehrhart polynomials and stringy Betti numbers. Zbl 1082.52007 Mustaţǎ, Mircea; Payne, Sam 19 2005 Multiplicities and log canonical threshold. Zbl 1068.14006 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 44 2004 Contact loci in arc spaces. Zbl 1060.14004 Ein, Lawrence; Lazarsfeld, Robert; Mustaţǎ, Mircea 37 2004 Inversion of adjunction for local complete intersection varieties. Zbl 1087.14012 Ein, Lawrence; Mustaţǎ, Mircea 36 2004 Bounds for log canonical thresholds with applications to birational rigidity. Zbl 1067.14013 de Fernex, Tommaso; Ein, Lawrence; Mustaţă, Mircea 52 2003 Jet schemes, log discrepancies and inversion of adjunction. Zbl 1049.14008 Ein, Lawrence; Mustaţă, Mircea; Yasuda, Takehiko 35 2003 Divisors on \(\mathcal M_{g,g+1}\) and the minimal resolution conjecture for points on canonical curves. Zbl 1063.14031 Farkas, Gavril; Mustaţǎ, Mircea; Popa, Mihnea 17 2003 Universal rational parametrizations and toric varieties. Zbl 1080.14539 Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 3 2003 Vanishing theorems on toric varieties. Zbl 1092.14064 Mustaţă, Mircea 53 2002 Singularities of pairs via jet schemes. Zbl 0998.14009 Mustaţă, Mircea 50 2002 On multiplicities of graded sequences of ideals. Zbl 1076.13500 Mustaţǎ, Mircea 47 2002 The multiplier ideals of a sum of ideals. Zbl 1015.14003 Mustata, Mircea 10 2002 Jet schemes of locally complete intersection canonical singularities. Zbl 1091.14004 Mustaţă, Mircea 85 2001 The module of logarithmic \(p\)-forms of a locally free arrangement. Zbl 1047.14007 Mustaţǎ, Mircea; Schenck, Henry K. 23 2001 \({\mathcal D}\)-modules on smooth toric varieties. Zbl 0981.14023 Mustaţă, Mircea; Smith, Gregory G.; Tsai, Harrison; Walther, Uli 3 2001 Cohomology and toric varieties and local cohomology with monomial supports. Zbl 1044.14028 Eisenbud, David; Mustaţǎ, Mircea; Stillman, Mike 40 2000 Local cohomology at monomial ideals. Zbl 0966.13010 Mustaţǎ, Mircea 28 2000 Graded Betti numbers of general finite subsets of points on projective varieties. Zbl 0943.13010 Mustaţǎ, Mircea 10 1998 A new proof of a theorem of A. Van de Ven. Zbl 0895.14004 Mustaţă, Mircea; Popa, Mihnea 3 1997 A new proof of a theorem of A. Van de Ven. Zbl 0895.14003 Mustaţă, Mircea; Popa, Mihnea 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 967 Authors 44 Mustaţă, Mircea 20 Boucksom, Sébastien 19 de Fernex, Tommaso 19 Guan, Qi’an 19 Xu, Chenyang 18 Schwede, Karl E. 17 Jonsson, Mattias 17 Küronya, Alex 17 Núñez-Betancourt, Luis 16 Takagi, Shunsuke 14 Cutkosky, Steven Dale 14 Veys, Willem 14 Zhuang, Ziquan 13 Àlvarez Montaner, Josep 13 Budur, Nero 13 Li, Chi 13 Liu, Yuchen 12 Choi, Sung Rak 12 Ishii, Shihoko 11 Lehmann, Brian 11 Mourtada, Hussein 10 Kaveh, Kiumars 10 Popa, Mihnea 9 Blum, Harold 9 Fujita, Kento 9 Hernández, Daniel J. 9 Kollár, János 9 Maclean, Catriona 9 Mirò-Roig, Rosa Maria 9 Saito, Morihiko 9 Sebag, Julien 9 Yuan, Zheng 8 Abe, Takuro 8 Arakawa, Tomoyuki 8 Docampo, Roi 8 Ein, Lawrence Man Hon 8 Farkas, Gavril 8 Manon, Christopher 8 Nicaise, Johannes 8 Park, Jinhyung 8 Phạm Hoàng Hiệp 8 Smith, Karen E. 8 Tanaka, Hiromu 8 Tucker, Kevin 8 Walther, Uli 8 Won, Joonyeong 8 Zhang, Wenliang 7 Bauer, Thomas 7 Biswas, Indranil 7 Blickle, Manuel 7 Cheltsov, Ivan Anatol’evich 7 Chen, Huayi 7 Favre, Charles 7 Fujita, Naoki 7 Fulger, Mihai 7 Katzman, Mordechai 7 Lozovanu, Victor 7 Ma, Linquan 7 Payne, Sam 7 Stapledon, Alan 7 Watanabe, Kei-ichi 7 Zhou, Xiangyu 6 Dimca, Alexandru 6 Fang, Xin 6 Gongyo, Yoshinori 6 Han, Jingjun 6 Kawakita, Masayuki 6 Khovanskiĭ, Askold Georgievich 6 Kim, Dano 6 Linshaw, Andrew Ross 6 Mi, Zhitong 6 Niu, Wenbo 6 Olano, Sebastián 6 Raicu, Claudiu 6 Rashkovskii, Alexander 6 Schepers, Jan 6 Stäbler, Axel 6 Witt Nyström, David 6 Witt, Emily E. 5 Berkesch Zamaere, Christine 5 Dirks, Bradley 5 Dumnicki, Marcin 5 Glazer, Itay 5 Hanumanthu, Krishna 5 Hering, Milena 5 Huneke, Craig L. 5 Ilten, Nathan Owen 5 Jeffries, Jack 5 Jiang, Chen 5 Jow, Shin-Yao 5 Kim, In-Kyun 5 Laza, Radu 5 Martín-Morales, Jorge 5 Moreau, Anne 5 Roé, Joaquim 5 Salat-Moltó, Martí 5 Sato, Kenta 5 Seppänen, Henrik 5 Song, Bailin 5 Szemberg, Tomasz ...and 867 more Authors all top 5 Cited in 182 Serials 81 Journal of Algebra 65 Advances in Mathematics 54 Mathematische Zeitschrift 46 Journal of Pure and Applied Algebra 37 Mathematische Annalen 35 Transactions of the American Mathematical Society 32 Communications in Algebra 30 Annales de l’Institut Fourier 28 Proceedings of the American Mathematical Society 28 Journal of Algebraic Geometry 27 Compositio Mathematica 25 Michigan Mathematical Journal 23 Duke Mathematical Journal 22 Inventiones Mathematicae 19 Nagoya Mathematical Journal 17 Manuscripta Mathematica 16 Journal für die Reine und Angewandte Mathematik 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 European Journal of Mathematics 14 International Journal of Mathematics 14 Selecta Mathematica. New Series 14 Journal of the Institute of Mathematics of Jussieu 12 Oberwolfach Reports 12 Algebra & Number Theory 11 Mathematische Nachrichten 11 Transformation Groups 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Annals of Mathematics. Second Series 10 Journal of the European Mathematical Society (JEMS) 10 Forum of Mathematics, Sigma 9 Bulletin of the London Mathematical Society 9 Journal of the London Mathematical Society. Second Series 9 Journal of the American Mathematical Society 9 The Journal of Geometric Analysis 8 Journal of Symbolic Computation 8 Journal de l’École Polytechnique – Mathématiques 7 Journal of Differential Geometry 7 Proceedings of the London Mathematical Society. Third Series 7 Tôhoku Mathematical Journal. Second Series 7 Forum of Mathematics, Pi 6 Memoirs of the American Mathematical Society 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Geometry & Topology 6 Journal of Commutative Algebra 5 Acta Mathematica Vietnamica 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Revista Matemática Iberoamericana 5 IMRN. International Mathematics Research Notices 5 Journal of Algebraic Combinatorics 5 Revista Matemática Complutense 5 Communications in Contemporary Mathematics 5 Science China. Mathematics 4 Geometriae Dedicata 4 Journal of Combinatorial Theory. Series A 4 Osaka Journal of Mathematics 4 Pacific Journal of Mathematics 4 Documenta Mathematica 4 Acta Mathematica Sinica. English Series 4 Advances in Geometry 4 Journal of Singularities 4 Algebraic Combinatorics 4 Peking Mathematical Journal 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Archiv der Mathematik 3 Collectanea Mathematica 3 Publications Mathématiques 3 Advances in Applied Mathematics 3 Forum Mathematicum 3 Sugaku Expositions 3 International Journal of Algebra and Computation 3 Bulletin des Sciences Mathématiques 3 Séminaire Lotharingien de Combinatoire 3 Annals of Combinatorics 3 Proceedings of the Steklov Institute of Mathematics 3 Kyoto Journal of Mathematics 3 The Journal of Software for Algebra and Geometry 3 Transactions of the American Mathematical Society. Series B 2 Discrete Mathematics 2 Letters in Mathematical Physics 2 Mathematics of Computation 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica 2 American Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin of the Korean Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Finite Fields and their Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series ...and 82 more Serials all top 5 Cited in 48 Fields 964 Algebraic geometry (14-XX) 323 Commutative algebra (13-XX) 281 Several complex variables and analytic spaces (32-XX) 83 Convex and discrete geometry (52-XX) 53 Number theory (11-XX) 53 Differential geometry (53-XX) 52 Combinatorics (05-XX) 45 Nonassociative rings and algebras (17-XX) 23 Associative rings and algebras (16-XX) 19 Group theory and generalizations (20-XX) 12 General and overarching topics; collections (00-XX) 12 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Computer science (68-XX) 10 Field theory and polynomials (12-XX) 9 Mathematical logic and foundations (03-XX) 7 Manifolds and cell complexes (57-XX) 6 Category theory; homological algebra (18-XX) 6 Topological groups, Lie groups (22-XX) 6 Algebraic topology (55-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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