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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: 57 Publications since 1994, including 2 Books
2 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 48 Co-Authors with 41 Joint Publications
900 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,195 times in 741 Documents Cited by Year
Uniform bounds and symbolic powers on smooth varieties. Zbl 1076.13501
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
122
2001
\(F\)-rational rings have rational singularities. Zbl 0910.13004
Smith, Karen E.
88
1997
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
78
2004
Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013
Blickle, Manuel; Mustata, Mircea; Smith, Karen E.
77
2008
Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019
Smith, Karen E.; Van den Bergh, Michel
62
1997
Jumping coefficients of multiplier ideals. Zbl 1061.14003
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.; Varolin, Dror
59
2004
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
56
2001
Tight closure of parameter ideals. Zbl 0820.13007
Smith, K. E.
55
1994
Globally \(F\)-regular and log Fano varieties. Zbl 1193.13004
Schwede, Karl; Smith, Karen E.
54
2010
Uniform approximation of Abhyankar valuation ideals in smooth function fields. Zbl 1033.14030
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
53
2003
The multiplier ideal is a universal test ideal. Zbl 0979.13007
Smith, Karen E.
46
2000
\(F\)-thresholds of hypersurfaces. Zbl 1193.13003
Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E.
45
2009
Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties. Zbl 0994.14012
Smith, Karen E.
36
2000
Strong and weak F-regularity are equivalent for graded rings. Zbl 0970.13003
Lyubeznik, Gennady; Smith, Karen E.
35
1999
Test ideals in local rings. Zbl 0849.13003
Smith, Karen E.
33
1995
On a non-vanishing conjecture of Kawamata and the core of an ideal. Zbl 1089.13003
Hyry, Eero; Smith, Karen E.
31
2003
Tight closure and the Kodaira vanishing theorem. Zbl 0913.13003
Huneke, Craig; Smith, Karen E.
18
1997
Irrelevant exceptional divisors for curves on a smooth surface. Zbl 1141.14004
Smith, Karen E.; Thompson, Howard M.
18
2007
Core versus graded core, and global sections of line bundles. Zbl 1089.13004
Hyry, Eero; Smith, Karen E.
16
2004
An invitation to algebraic geometry. Zbl 0962.14001
Smith, Karen E.; Kahanpää, Lauri; Kekäläinen, Pekka; Traves, William
16
2000
The \(D\)-module structure of \(F\)-split rings. Zbl 0848.13010
Smith, Karen E.
15
1995
Vanishing, singularities and effective bounds via prime characteristic local algebra. Zbl 0913.13004
Smith, Karen E.
15
1997
Tight closure in graded rings. Zbl 0902.13005
Smith, Karen E.
15
1997
The canonical sheaf of Du Bois singularities. Zbl 1198.14003
Kovács, Sándor J.; Schwede, Karl; Smith, Karen E.
15
2010
The jet scheme of a monomial scheme. Zbl 1120.14055
Goward, Russell A.; Smith, Karen E.
13
2006
Measuring singularities with Frobenius: the basics. Zbl 1274.13007
Benito, Angélica; Faber, Eleonore; Smith, Karen E.
11
2013
Fujita’s freeness conjecture in terms of local cohomology. Zbl 0901.14005
Smith, Karen E.
10
1997
Linear bounds on growth of associated primes. Zbl 0889.13002
Smith, Karen E.; Swanson, Irena
10
1997
Singularities of locally acyclic cluster algebras. Zbl 1350.13017
Benito, Angélica; Muller, Greg; Rajchgot, Jenna; Smith, Karen E.
9
2015
Frobenius and valuation rings. Zbl 1348.13007
Datta, Rankeya; Smith, Karen
9
2016
Behavior of test ideals under smooth and étale homomorphisms. Zbl 1063.13005
Bravo, A.; Smith, K. E.
8
2002
A tight closure approach to arithmetic Macaulayfication. Zbl 0910.13005
Aberbach, Ian M.; Huneke, Craig; Smith, Karen E.
8
1996
Frobenius splitting in commutative algebra. Zbl 1359.13006
Smith, Karen E.; Zhang, Wenliang
7
2015
Singularities of certain ladder determinantal varieties. Zbl 0842.13008
Glassbrenner, Donna; Smith, Karen E.
6
1995
The strong test ideal. Zbl 1098.13501
Hara, Nobuo; Smith, Karen E.
6
2001
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
Tight closure commutes with localization in binomial rings. Zbl 0966.13004
Smith, Karen E.
5
2001
Correction to the article “Frobenius and valuation rings”. Zbl 1365.13007
Datta, Rankeya; Smith, Karen E.
4
2017
Excellence in prime characteristic. Zbl 1400.13023
Datta, Rankeya; Smith, Karen E.
4
2018
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
Local cohomology and base change. Zbl 1401.13054
Smith, Karen E.
3
2018
Tight closure and vanishing theorems. Zbl 1079.13500
Smith, Karen E.
2
2001
Cubic surfaces of characteristic two. Zbl 1475.14065
Kadyrsizova, Zhibek; Kenkel, Jennifer; Page, Janet; Singh, Jyoti; Smith, Karen E.; Vraciu, Adela; Witt, Emily E.
2
2021
Non-commutative resolutions of toric varieties. Zbl 1423.13075
Faber, Eleonore; Muller, Greg; Smith, Karen E.
2
2019
Tight closure and graded integral extensions. Zbl 0826.13008
Smith, Karen E.
1
1995
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
An introduction to tight closure. Zbl 0993.13002
Smith, Karen E.
1
2001
Contribution of jumping numbers by exceptional divisors. With an appendix by Karen E. Smith, Kevin Tucker. Zbl 1401.14105
Baumers, Hans; Veys, Willem; Smith, Karen E.; Tucker, Kevin
1
2018
Cubic surfaces of characteristic two. Zbl 1475.14065
Kadyrsizova, Zhibek; Kenkel, Jennifer; Page, Janet; Singh, Jyoti; Smith, Karen E.; Vraciu, Adela; Witt, Emily E.
2
2021
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.
4
2018
Local cohomology and base change. Zbl 1401.13054
Smith, Karen E.
3
2018
Contribution of jumping numbers by exceptional divisors. With an appendix by Karen E. Smith, Kevin Tucker. Zbl 1401.14105
Baumers, Hans; Veys, Willem; Smith, Karen E.; Tucker, Kevin
1
2018
Correction to the article “Frobenius and valuation rings”. Zbl 1365.13007
Datta, Rankeya; Smith, Karen E.
4
2017
Frobenius and valuation rings. Zbl 1348.13007
Datta, Rankeya; Smith, Karen
9
2016
Singularities of locally acyclic cluster algebras. Zbl 1350.13017
Benito, Angélica; Muller, Greg; Rajchgot, Jenna; Smith, Karen E.
9
2015
Frobenius splitting in commutative algebra. Zbl 1359.13006
Smith, Karen E.; Zhang, Wenliang
7
2015
Measuring singularities with Frobenius: the basics. Zbl 1274.13007
Benito, Angélica; Faber, Eleonore; Smith, Karen E.
11
2013
Globally \(F\)-regular and log Fano varieties. Zbl 1193.13004
Schwede, Karl; Smith, Karen E.
54
2010
The canonical sheaf of Du Bois singularities. Zbl 1198.14003
Kovács, Sándor J.; Schwede, Karl; Smith, Karen E.
15
2010
\(F\)-thresholds of hypersurfaces. Zbl 1193.13003
Blickle, Manuel; Mustaţǎ, Mircea; Smith, Karen E.
45
2009
Discreteness and rationality of \(F\)-thresholds. Zbl 1177.13013
Blickle, Manuel; Mustata, Mircea; Smith, Karen E.
77
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.
18
2007
The jet scheme of a monomial scheme. Zbl 1120.14055
Goward, Russell A.; Smith, Karen E.
13
2006
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
78
2004
Jumping coefficients of multiplier ideals. Zbl 1061.14003
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.; Varolin, Dror
59
2004
Core versus graded core, and global sections of line bundles. Zbl 1089.13004
Hyry, Eero; Smith, Karen E.
16
2004
Uniform approximation of Abhyankar valuation ideals in smooth function fields. Zbl 1033.14030
Ein, Lawrence; Lazarsfeld, Robert; Smith, Karen E.
53
2003
On a non-vanishing conjecture of Kawamata and the core of an ideal. Zbl 1089.13003
Hyry, Eero; Smith, Karen E.
31
2003
Behavior of test ideals under smooth and étale homomorphisms. Zbl 1063.13005
Bravo, A.; Smith, K. E.
8
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.
122
2001
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
56
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.
46
2000
Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties. Zbl 0994.14012
Smith, Karen E.
36
2000
An invitation to algebraic geometry. Zbl 0962.14001
Smith, Karen E.; Kahanpää, Lauri; Kekäläinen, Pekka; Traves, William
16
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.
35
1999
\(F\)-rational rings have rational singularities. Zbl 0910.13004
Smith, Karen E.
88
1997
Simplicity of rings of differential operators in prime characteristic. Zbl 0948.16019
Smith, Karen E.; Van den Bergh, Michel
62
1997
Tight closure and the Kodaira vanishing theorem. Zbl 0913.13003
Huneke, Craig; Smith, Karen E.
18
1997
Vanishing, singularities and effective bounds via prime characteristic local algebra. Zbl 0913.13004
Smith, Karen E.
15
1997
Tight closure in graded rings. Zbl 0902.13005
Smith, Karen E.
15
1997
Fujita’s freeness conjecture in terms of local cohomology. Zbl 0901.14005
Smith, Karen E.
10
1997
Linear bounds on growth of associated primes. Zbl 0889.13002
Smith, Karen E.; Swanson, Irena
10
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.
8
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.
15
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.
55
1994
Differential operators and connections with tight closure. Zbl 0819.13009
Smith, Karen E.
1
1994
all top 5

Cited by 603 Authors

26 Schwede, Karl E.
22 Takagi, Shunsuke
19 Mustaţă, Mircea
19 Smith, Karen E.
16 Watanabe, Kei-ichi
15 Katzman, Mordechai
14 Núñez-Betancourt, Luis
13 Harbourne, Brian
13 Tucker, Kevin
12 Brenner, Holger
12 Huneke, Craig L.
11 Aberbach, Ian M.
11 Àlvarez Montaner, Josep
11 Hara, Nobuo
11 Ma, Linquan
11 Sharp, Rodney Y.
11 Singh, Anurag K.
11 Tutaj-Gasińska, Halszka
11 Vraciu, Adela N.
11 Yoshida, Ken-ichi
11 Zhang, Wenliang
10 Cheltsov, Ivan Anatol’evich
10 Cutkosky, Steven Dale
10 Dumnicki, Marcin
10 Enescu, Florian
10 Gongyo, Yoshinori
9 Hà, Huy Tài
9 Hernández, Daniel J.
9 Kollár, János
9 Seceleanu, Alexandra
9 Stäbler, Axel
9 Yao, Yongwei
8 Blickle, Manuel
8 Fouli, Louiza
8 Jonsson, Mattias
8 Polstra, Thomas
8 Szemberg, Tomasz
7 Boix, Alberto Fernandez
7 De Stefani, Alessandro
7 Lazarsfeld, Robert Kendall
7 Li, Chi
7 Liu, Yuchen
7 Nakajima, Yusuke
7 Szpond, Justyna
7 Ulrich, Bernd
7 Witt, Emily E.
7 Xu, Chenyang
6 Datta, Rankeya
6 Grifo, Eloísa
6 Guardo, Elena
6 Hochster, Melvin
6 Hyry, Eero
6 Jeffries, Jack
6 R. G., Rebecca
6 Schoutens, Hans
6 Van Tuyl, Adam
6 Vassilev, Janet Cowden
5 Bocci, Cristiano
5 Boucksom, Sébastien
5 Cid-Ruiz, Yairon
5 Cooper, Susan Marie
5 Epstein, Neil
5 Hashimoto, Mitsuyasu
5 Herzog, Jürgen
5 Malara, Grzegorz
5 Nagel, Uwe
5 Ngô Viêt Trung
5 Page, Janet
5 Pham Hung Quy
5 Polini, Claudia
5 Saito, Morihiko
5 Smirnov, Ilya N.
5 Tanaka, Hiromu
4 Blum, Harold
4 Budur, Nero
4 Cantat, Serge
4 Dachs-Cadefau, Ferran
4 Drabkin, Benjamin
4 Ein, Lawrence Man Hon
4 Ejiri, Sho
4 Favre, Charles
4 Fujino, Osamu
4 Funch Thomsen, Jesper
4 Hacon, Christopher Derek
4 Hsiao, Jen-Chieh
4 Järvilehto, Tarmo
4 Kadyrsizova, Zhibek
4 Lampa-Baczyńska, Magdalena
4 Lyubeznik, Gennady
4 Mourtada, Hussein
4 Patakfalvi, Zsolt
4 Pérez, Felipe
4 Teixeira, Pedro
4 Witaszek, Jakub
4 Zarzuela, Santiago
3 Alberich-Carramiñana, Maria
3 André, Yves
3 Bhatt, Bhargav
3 Bisui, Sankhaneel
3 Blanc, Jérémy
...and 503 more Authors
all top 5

Cited in 125 Serials

112 Journal of Algebra
53 Journal of Pure and Applied Algebra
46 Transactions of the American Mathematical Society
45 Advances in Mathematics
35 Communications in Algebra
31 Proceedings of the American Mathematical Society
22 Mathematische Zeitschrift
21 Mathematische Annalen
21 Michigan Mathematical Journal
17 Nagoya Mathematical Journal
16 Journal of Algebraic Geometry
13 Compositio Mathematica
13 Manuscripta Mathematica
12 Annales de l’Institut Fourier
10 Journal of the American Mathematical Society
10 Journal of Commutative Algebra
9 Acta Mathematica Vietnamica
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Illinois Journal of Mathematics
8 Algebra & Number Theory
7 Geometriae Dedicata
7 Inventiones Mathematicae
7 Selecta Mathematica. New Series
6 Duke Mathematical Journal
6 Journal für die Reine und Angewandte Mathematik
6 Journal of Symbolic Computation
6 Journal of the Institute of Mathematics of Jussieu
5 Tôhoku Mathematical Journal. Second Series
5 Journal of Algebra and its Applications
5 European Journal of Mathematics
4 Collectanea Mathematica
4 Journal of Number Theory
4 Linear Algebra and its Applications
4 Bulletin of the American Mathematical Society. New Series
4 Transformation Groups
3 Beiträge zur Algebra und Geometrie
3 Memoirs of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Revista Matemática Iberoamericana
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 Journal of the European Mathematical Society (JEMS)
3 Oberwolfach Reports
3 Forum of Mathematics, Sigma
3 Research in the Mathematical Sciences
3 Transactions of the American Mathematical Society. Series B
2 Journal of Mathematical Analysis and Applications
2 Rocky Mountain Journal of Mathematics
2 Journal of the Mathematical Society of Japan
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Finite Fields and their Applications
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Electronic Research Announcements in Mathematical Sciences
2 Involve
2 Kyoto Journal of Mathematics
2 The Journal of Software for Algebra and Geometry
2 EMS Surveys in Mathematical Sciences
2 Proceedings of the American Mathematical Society. Series B
2 Peking Mathematical Journal
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 American Journal of Mathematics
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 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Meccanica
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
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 Discrete & Computational Geometry
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
...and 25 more Serials
all top 5

Cited in 37 Fields

507 Commutative algebra (13-XX)
503 Algebraic geometry (14-XX)
62 Several complex variables and analytic spaces (32-XX)
29 Associative rings and algebras (16-XX)
27 Combinatorics (05-XX)
18 Number theory (11-XX)
14 Convex and discrete geometry (52-XX)
9 Field theory and polynomials (12-XX)
9 Group theory and generalizations (20-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)
5 Global analysis, analysis on manifolds (58-XX)
4 Category theory; homological algebra (18-XX)
4 Operations research, mathematical programming (90-XX)
3 General and overarching topics; collections (00-XX)
3 Numerical analysis (65-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 Ordinary differential equations (34-XX)
2 Manifolds and cell complexes (57-XX)
1 General algebraic systems (08-XX)
1 Topological groups, Lie groups (22-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 Algebraic topology (55-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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