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Author ID: smith.karen-e Recent zbMATH articles by "Smith, Karen E."
Published as: Smith, Karen E.; Smith, Karen; Smith, K. E.; Smith, K.
Homepage: http://www.math.lsa.umich.edu/~kesmith/
External Links: Women in Mathematics · MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 55 Publications since 1994, including 2 Books
2 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 48 Co-Authors with 39 Joint Publications
867 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 1,070 times in 674 Documents Cited by Year
Uniform bounds and symbolic powers on smooth varieties. Zbl 1076.13501
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
111
2001
\(F\)-rational rings have rational singularities. Zbl 0910.13004
Smith, Karen E.
79
1997
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
68
2004
Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013
Blickle, Manuel; Mustata, Mircea; Smith, Karen E.
68
2008
Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019
Smith, Karen E.; Van den Bergh, Michel
58
1997
Jumping coefficients of multiplier ideals. Zbl 1061.14003
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.; Varolin, Dror
52
2004
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
50
2001
Tight closure of parameter ideals. Zbl 0820.13007
Smith, K. E.
50
1994
Uniform approximation of Abhyankar valuation ideals in smooth function fields. Zbl 1033.14030
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
47
2003
Globally \(F\)-regular and log Fano varieties. Zbl 1193.13004
Schwede, Karl; Smith, Karen E.
46
2010
The multiplier ideal is a universal test ideal. Zbl 0979.13007
Smith, Karen E.
42
2000
\(F\)-thresholds of hypersurfaces. Zbl 1193.13003
Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E.
38
2009
Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties. Zbl 0994.14012
Smith, Karen E.
34
2000
Test ideals in local rings. Zbl 0849.13003
Smith, Karen E.
33
1995
Strong and weak F-regularity are equivalent for graded rings. Zbl 0970.13003
Lyubeznik, Gennady; Smith, Karen E.
31
1999
On a non-vanishing conjecture of Kawamata and the core of an ideal. Zbl 1089.13003
Hyry, Eero; Smith, Karen E.
30
2003
Tight closure and the Kodaira vanishing theorem. Zbl 0913.13003
Huneke, Craig; Smith, Karen E.
17
1997
Irrelevant exceptional divisors for curves on a smooth surface. Zbl 1141.14004
Smith, Karen E.; Thompson, Howard M.
17
2007
Tight closure in graded rings. Zbl 0902.13005
Smith, Karen E.
15
1997
An invitation to algebraic geometry. Zbl 0962.14001
Smith, Karen E.; Kahanpää, Lauri; Kekäläinen, Pekka; Traves, William
15
2000
Core versus graded core, and global sections of line bundles. Zbl 1089.13004
Hyry, Eero; Smith, Karen E.
15
2004
Vanishing, singularities and effective bounds via prime characteristic local algebra. Zbl 0913.13004
Smith, Karen E.
14
1997
The canonical sheaf of Du Bois singularities. Zbl 1198.14003
Kovács, Sándor J.; Schwede, Karl; Smith, Karen E.
14
2010
The \(D\)-module structure of \(F\)-split rings. Zbl 0848.13010
Smith, Karen E.
13
1995
Linear bounds on growth of associated primes. Zbl 0889.13002
Smith, Karen E.; Swanson, Irena
10
1997
The jet scheme of a monomial scheme. Zbl 1120.14055
Goward, Russell A.; Smith, Karen E.
10
2006
Fujita’s freeness conjecture in terms of local cohomology. Zbl 0901.14005
Smith, Karen E.
9
1997
Behavior of test ideals under smooth and étale homomorphisms. Zbl 1063.13005
Bravo, A.; Smith, K. E.
7
2002
Measuring singularities with Frobenius: the basics. Zbl 1274.13007
Benito, Angélica; Faber, Eleonore; Smith, Karen E.
7
2013
A tight closure approach to arithmetic Macaulayfication. Zbl 0910.13005
Aberbach, Ian M.; Huneke, Craig; Smith, Karen E.
7
1996
Frobenius and valuation rings. Zbl 1348.13007
Datta, Rankeya; Smith, Karen
7
2016
An algebraic proof of Zak’s inequality for the dimension of the Gauss image. Zbl 1079.14060
Simis, Aaron; Smith, Karen E.; Ulrich, Bernd
6
2002
The strong test ideal. Zbl 1098.13501
Hara, Nobuo; Smith, Karen E.
6
2001
Singularities of certain ladder determinantal varieties. Zbl 0842.13008
Glassbrenner, Donna; Smith, Karen E.
6
1995
Singularities of locally acyclic cluster algebras. Zbl 1350.13017
Benito, Angélica; Muller, Greg; Rajchgot, Jenna; Smith, Karen E.
6
2015
Frobenius splitting in commutative algebra. Zbl 1359.13006
Smith, Karen E.; Zhang, Wenliang
6
2015
Tight closure commutes with localization in binomial rings. Zbl 0966.13004
Smith, Karen E.
5
2001
A tight closure proof of Fujita’s freeness conjecture for very ample line bundles. Zbl 0976.14006
Smith, Karen E.
4
2000
Syzygies of multiplier ideals on singular varieties. Zbl 1195.14025
Lazarsfeld, Robert; Lee, Kyungyong; Smith, Karen E.
3
2008
Excellence in prime characteristic. Zbl 1400.13023
Datta, Rankeya; Smith, Karen E.
3
2018
Tight closure and vanishing theorems. Zbl 1079.13500
Smith, Karen E.
2
2001
Non-commutative resolutions of toric varieties. Zbl 1423.13075
Faber, Eleonore; Muller, Greg; Smith, Karen E.
2
2019
Correction to the article “Frobenius and valuation rings”. Zbl 1365.13007
Datta, Rankeya; Smith, Karen E.
2
2017
An introduction to tight closure. Zbl 0993.13002
Smith, Karen E.
1
2001
Sparse systems of parameters for determinantal varieties. Zbl 0930.14033
Glassbrenner, Donna; Smith, Karen E.
1
1997
Differential operators and connections with tight closure. Zbl 0819.13009
Smith, Karen E.
1
1994
Tight closure and graded integral extensions. Zbl 0826.13008
Smith, Karen E.
1
1995
Local cohomology and base change. Zbl 1401.13054
Smith, Karen E.
1
2018
Non-commutative resolutions of toric varieties. Zbl 1423.13075
Faber, Eleonore; Muller, Greg; Smith, Karen E.
2
2019
Excellence in prime characteristic. Zbl 1400.13023
Datta, Rankeya; Smith, Karen E.
3
2018
Local cohomology and base change. Zbl 1401.13054
Smith, Karen E.
1
2018
Correction to the article “Frobenius and valuation rings”. Zbl 1365.13007
Datta, Rankeya; Smith, Karen E.
2
2017
Frobenius and valuation rings. Zbl 1348.13007
Datta, Rankeya; Smith, Karen
7
2016
Singularities of locally acyclic cluster algebras. Zbl 1350.13017
Benito, Angélica; Muller, Greg; Rajchgot, Jenna; Smith, Karen E.
6
2015
Frobenius splitting in commutative algebra. Zbl 1359.13006
Smith, Karen E.; Zhang, Wenliang
6
2015
Measuring singularities with Frobenius: the basics. Zbl 1274.13007
Benito, Angélica; Faber, Eleonore; Smith, Karen E.
7
2013
Globally \(F\)-regular and log Fano varieties. Zbl 1193.13004
Schwede, Karl; Smith, Karen E.
46
2010
The canonical sheaf of Du Bois singularities. Zbl 1198.14003
Kovács, Sándor J.; Schwede, Karl; Smith, Karen E.
14
2010
\(F\)-thresholds of hypersurfaces. Zbl 1193.13003
Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E.
38
2009
Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013
Blickle, Manuel; Mustata, Mircea; Smith, Karen E.
68
2008
Syzygies of multiplier ideals on singular varieties. Zbl 1195.14025
Lazarsfeld, Robert; Lee, Kyungyong; Smith, Karen E.
3
2008
Irrelevant exceptional divisors for curves on a smooth surface. Zbl 1141.14004
Smith, Karen E.; Thompson, Howard M.
17
2007
The jet scheme of a monomial scheme. Zbl 1120.14055
Goward, Russell A.; Smith, Karen E.
10
2006
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
68
2004
Jumping coefficients of multiplier ideals. Zbl 1061.14003
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.; Varolin, Dror
52
2004
Core versus graded core, and global sections of line bundles. Zbl 1089.13004
Hyry, Eero; Smith, Karen E.
15
2004
Uniform approximation of Abhyankar valuation ideals in smooth function fields. Zbl 1033.14030
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
47
2003
On a non-vanishing conjecture of Kawamata and the core of an ideal. Zbl 1089.13003
Hyry, Eero; Smith, Karen E.
30
2003
Behavior of test ideals under smooth and étale homomorphisms. Zbl 1063.13005
Bravo, A.; Smith, K. E.
7
2002
An algebraic proof of Zak’s inequality for the dimension of the Gauss image. Zbl 1079.14060
Simis, Aaron; Smith, Karen E.; Ulrich, Bernd
6
2002
Uniform bounds and symbolic powers on smooth varieties. Zbl 1076.13501
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
111
2001
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
50
2001
The strong test ideal. Zbl 1098.13501
Hara, Nobuo; Smith, Karen E.
6
2001
Tight closure commutes with localization in binomial rings. Zbl 0966.13004
Smith, Karen E.
5
2001
Tight closure and vanishing theorems. Zbl 1079.13500
Smith, Karen E.
2
2001
An introduction to tight closure. Zbl 0993.13002
Smith, Karen E.
1
2001
The multiplier ideal is a universal test ideal. Zbl 0979.13007
Smith, Karen E.
42
2000
Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties. Zbl 0994.14012
Smith, Karen E.
34
2000
An invitation to algebraic geometry. Zbl 0962.14001
Smith, Karen E.; Kahanpää, Lauri; Kekäläinen, Pekka; Traves, William
15
2000
A tight closure proof of Fujita’s freeness conjecture for very ample line bundles. Zbl 0976.14006
Smith, Karen E.
4
2000
Strong and weak F-regularity are equivalent for graded rings. Zbl 0970.13003
Lyubeznik, Gennady; Smith, Karen E.
31
1999
\(F\)-rational rings have rational singularities. Zbl 0910.13004
Smith, Karen E.
79
1997
Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019
Smith, Karen E.; Van den Bergh, Michel
58
1997
Tight closure and the Kodaira vanishing theorem. Zbl 0913.13003
Huneke, Craig; Smith, Karen E.
17
1997
Tight closure in graded rings. Zbl 0902.13005
Smith, Karen E.
15
1997
Vanishing, singularities and effective bounds via prime characteristic local algebra. Zbl 0913.13004
Smith, Karen E.
14
1997
Linear bounds on growth of associated primes. Zbl 0889.13002
Smith, Karen E.; Swanson, Irena
10
1997
Fujita’s freeness conjecture in terms of local cohomology. Zbl 0901.14005
Smith, Karen E.
9
1997
Sparse systems of parameters for determinantal varieties. Zbl 0930.14033
Glassbrenner, Donna; Smith, Karen E.
1
1997
A tight closure approach to arithmetic Macaulayfication. Zbl 0910.13005
Aberbach, Ian M.; Huneke, Craig; Smith, Karen E.
7
1996
Test ideals in local rings. Zbl 0849.13003
Smith, Karen E.
33
1995
The \(D\)-module structure of \(F\)-split rings. Zbl 0848.13010
Smith, Karen E.
13
1995
Singularities of certain ladder determinantal varieties. Zbl 0842.13008
Glassbrenner, Donna; Smith, Karen E.
6
1995
Tight closure and graded integral extensions. Zbl 0826.13008
Smith, Karen E.
1
1995
Tight closure of parameter ideals. Zbl 0820.13007
Smith, K. E.
50
1994
Differential operators and connections with tight closure. Zbl 0819.13009
Smith, Karen E.
1
1994
all top 5

Cited by 544 Authors

26 Schwede, Karl E.
22 Takagi, Shunsuke
18 Mustaţă, Mircea
17 Smith, Karen E.
15 Katzman, Mordechai
15 Watanabe, Kei-ichi
13 Tucker, Kevin
12 Brenner, Holger
12 Harbourne, Brian
12 Huneke, Craig L.
11 Aberbach, Ian M.
11 Hara, Nobuo
11 Sharp, Rodney Y.
11 Singh, Anurag K.
11 Tutaj-Gasińska, Halszka
11 Zhang, Wenliang
10 Dumnicki, Marcin
10 Gongyo, Yoshinori
10 Ma, Linquan
10 Núñez-Betancourt, Luis
10 Yoshida, Ken-ichi
9 Cheltsov, Ivan Anatol’evich
9 Cutkosky, Steven Dale
9 Enescu, Florian
9 Kollár, János
8 Àlvarez Montaner, Josep
8 Blickle, Manuel
8 Fouli, Louiza
8 Hà, Huy Tài
8 Hernández, Daniel J.
8 Jonsson, Mattias
8 Seceleanu, Alexandra
8 Stäbler, Axel
8 Szemberg, Tomasz
8 Vraciu, Adela N.
7 Boix, Alberto Fernandez
7 Li, Chi
7 Polstra, Thomas
7 Szpond, Justyna
7 Ulrich, Bernd
7 Yao, Yongwei
6 De Stefani, Alessandro
6 Guardo, Elena
6 Hyry, Eero
6 Lazarsfeld, Robert Kendall
6 Nakajima, Yusuke
6 Schoutens, Hans
6 Xu, Chenyang
5 Bocci, Cristiano
5 Boucksom, Sébastien
5 Cooper, Susan Marie
5 Datta, Rankeya
5 Grifo, Eloísa
5 Hashimoto, Mitsuyasu
5 Herzog, Jürgen
5 Nagel, Uwe
5 Ngô Viêt Trung
5 Polini, Claudia
5 Tanaka, Hiromu
5 Van Tuyl, Adam
5 Vassilev, Janet Cowden
4 Blum, Harold
4 Budur, Nero
4 Cantat, Serge
4 Dachs-Cadefau, Ferran
4 Drabkin, Benjamin
4 Epstein, Neil
4 Favre, Charles
4 Fujino, Osamu
4 Funch Thomsen, Jesper
4 Hochster, Melvin
4 Hsiao, Jen-Chieh
4 Järvilehto, Tarmo
4 Liu, Yuchen
4 Lyubeznik, Gennady
4 Malara, Grzegorz
4 Patakfalvi, Zsolt
4 Pérez, Felipe
4 Pham Hung Quy
4 Saito, Morihiko
4 Smirnov, Ilya
4 Witt, Emily E.
4 Zarzuela, Santiago
3 Alberich-Carramiñana, Maria
3 André, Yves
3 Bhatt, Bhargav
3 Bisui, Sankhaneel
3 Blanc, Jérémy
3 Caminata, Alessio
3 Cid-Ruiz, Yairon
3 Conca, Aldo
3 de Fernex, Tommaso
3 Ein, Lawrence Man Hon
3 Ejiri, Sho
3 Farnik, Łucja
3 Galindo Pastor, Carlos
3 Gonciulea, Nicolae
3 He, Xuhua
3 Higashitani, Akihiro
3 Jeffries, Jack
...and 444 more Authors
all top 5

Cited in 118 Serials

107 Journal of Algebra
52 Journal of Pure and Applied Algebra
45 Transactions of the American Mathematical Society
42 Advances in Mathematics
32 Communications in Algebra
30 Proceedings of the American Mathematical Society
21 Michigan Mathematical Journal
20 Mathematische Annalen
20 Mathematische Zeitschrift
17 Nagoya Mathematical Journal
16 Journal of Algebraic Geometry
13 Compositio Mathematica
12 Manuscripta Mathematica
9 Acta Mathematica Vietnamica
9 Annales de l’Institut Fourier
9 Journal of the American Mathematical Society
8 Illinois Journal of Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Inventiones Mathematicae
7 Journal of Commutative Algebra
6 Geometriae Dedicata
6 Selecta Mathematica. New Series
5 Duke Mathematical Journal
5 Tohoku Mathematical Journal. Second Series
5 Journal of Symbolic Computation
5 Journal of Algebra and its Applications
4 Collectanea Mathematica
4 Journal of Number Theory
4 Journal für die Reine und Angewandte Mathematik
4 Linear Algebra and its Applications
4 Bulletin of the American Mathematical Society. New Series
4 Journal of the Institute of Mathematics of Jussieu
4 European Journal of Mathematics
3 Beiträge zur Algebra und Geometrie
3 Memoirs of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Algebraic Combinatorics
3 Transformation Groups
3 Journal of the European Mathematical Society (JEMS)
3 Forum of Mathematics, Sigma
2 Journal of Mathematical Analysis and Applications
2 Rocky Mountain Journal of Mathematics
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Finite Fields and their Applications
2 Algebras and Representation Theory
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 Algebra & Number Theory
2 Electronic Research Announcements in Mathematical Sciences
2 Kyoto Journal of Mathematics
2 The Journal of Software for Algebra and Geometry
2 EMS Surveys in Mathematical Sciences
2 Research in the Mathematical Sciences
2 Proceedings of the American Mathematical Society. Series B
2 Transactions of the American Mathematical Society. Series B
1 Israel Journal of Mathematics
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Meccanica
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 International Journal of Algebra and Computation
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Knot Theory and its Ramifications
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Turkish Journal of Mathematics
1 The Electronic Journal of Combinatorics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Representation Theory
1 The Ramanujan Journal
...and 18 more Serials
all top 5

Cited in 34 Fields

463 Commutative algebra (13-XX)
459 Algebraic geometry (14-XX)
58 Several complex variables and analytic spaces (32-XX)
26 Associative rings and algebras (16-XX)
22 Combinatorics (05-XX)
13 Number theory (11-XX)
10 Convex and discrete geometry (52-XX)
9 Group theory and generalizations (20-XX)
8 Field theory and polynomials (12-XX)
7 Differential geometry (53-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 History and biography (01-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Operations research, mathematical programming (90-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 \(K\)-theory (19-XX)
2 Ordinary differential equations (34-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Probability theory and stochastic processes (60-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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