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Kreuzer, Martin

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Author ID: kreuzer.martin Recent zbMATH articles by "Kreuzer, Martin"
Published as: Kreuzer, Martin; Kreuzer, M.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 74 Publications since 1987, including 8 Books
Reviewing Activity: 114 Reviews

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 577 times in 355 Documents Cited by Year
Computational commutative algebra. I. Zbl 0956.13008
Kreuzer, Martin; Robbiano, Lorenzo
153
2000
Computational commutative algebra. II. Zbl 1090.13021
Kreuzer, Martin; Robbiano, Lorenzo
116
2005
Cayley–Bacharach schemes and their canonical modules. Zbl 0793.14002
Geramita, Anthony V.; Kreuzer, Martin; Robbiano, Lorenzo
41
1993
Computing border bases. Zbl 1097.13036
Kehrein, Achim; Kreuzer, Martin
21
2006
Computing ideals of points. Zbl 0977.13011
Abbott, John; Bigatti, Anna Maria; Kreuzer, Martin; Robbiano, Lorenzo
21
2000
An algebraist’s view on border bases. Zbl 1152.13304
Kehrein, Achim; Kreuzer, Martin; Robbiano, Lorenzo
20
2005
Characterizations of border bases. Zbl 1081.13011
Kehrein, Achim; Kreuzer, Martin
19
2005
On the canonical module of a 0-dimensional scheme. Zbl 0826.14030
Kreuzer, Martin
17
1994
Approximate computation of zero-dimensional polynomial ideals. Zbl 1176.13003
Heldt, Daniel; Kreuzer, Martin; Pokutta, Sebastian; Poulisse, Hennie
17
2009
Determinantal schemes and Buchsbaum-Rim sheaves. Zbl 0999.14014
Kreuzer, Martin; Migliore, Juan C.; Peterson, Chris; Nagel, Uwe
14
2000
On 0-dimensional complete intersections. Zbl 0741.14030
Kreuzer, Martin
14
1992
Deformations of border bases. Zbl 1190.13022
Kreuzer, Martin; Robbiano, Lorenzo
10
2008
Computational linear and commutative algebra. Zbl 1360.13001
Kreuzer, Martin; Robbiano, Lorenzo
9
2016
Traces in strict Frobenius algebras and strict complete intersections. Zbl 0626.13009
Kreuzer, Martin; Kunz, Ernst
9
1987
Kähler differentials for points in \(\mathbb{P}^n\). Zbl 0943.13019
de Dominicis, Gabriel; Kreuzer, Martin
8
1999
Efficiently computing minimal sets of critical pairs. Zbl 1137.13315
Caboara, Massimo; Kreuzer, Martin; Robbiano, Lorenzo
7
2005
On the canonical ideal of a set of points. Zbl 0971.14037
Kreuzer, Martin
6
2000
Extremal zero-dimensional subschemes of \({\mathbb{P}}^2\). Zbl 0987.14032
Kreuzer, Bettina; Kreuzer, Martin
5
1998
Vektorbündel und der Satz von Cayley-Bacharach. (Vector bundles and the Cayley-Bacharach theorem). Zbl 0685.14012
Kreuzer, Martin
4
1989
How to compute the canonical module of a set of points. Zbl 0894.13003
Beck, Stefan; Kreuzer, Martin
4
1996
Some applications of the canonical module of a \(0\)-dimensional scheme. Zbl 0826.14031
Kreuzer, Martin
4
1994
From oil fields to Hilbert schemes. Zbl 1191.13034
Kreuzer, Martin; Poulisse, Hennie; Robbiano, Lorenzo
4
2009
Gröbner basis cryptosystems. Zbl 1104.94015
Ackermann, Peter; Kreuzer, Martin
4
2006
Computing zero-dimensional schemes. Zbl 1120.13027
Abbott, John; Kreuzer, Martin; Robbiano, Lorenzo
4
2005
Kähler differentials and Kähler differents for fat point schemes. Zbl 1327.13092
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
4
2015
A linear algebra attack to group-ring-based key exchange protocols. Zbl 1380.94108
Kreuzer, M.; Myasnikov, A. D.; Ushakov, A.
3
2014
Computing Hilbert-Kunz functions of 1-dimensional graded rings. Zbl 1177.13063
Kreuzer, Martin
3
2007
Subideal border bases. Zbl 1219.13017
Kreuzer, Martin; Poulisse, Henk
3
2011
Algebraic attacks galore! Zbl 1246.94032
Kreuzer, Martin
3
2009
Characterizations of zero-dimensional complete intersections. Zbl 1387.14126
Kreuzer, Martin; Long, Le Ngoc
3
2017
On the uniformity of zero-dimensional complete intersections. Zbl 1291.14075
Geramita, Anthony V.; Kreuzer, Martin
2
2013
A course in mathematical cryptography. Zbl 1391.94002
Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard
2
2015
On maximal Cayley-Bacharach schemes. Zbl 0849.14017
Kreuzer, Martin; Robbiano, Lorenzo
2
1995
On the Castelnuovo-Mumford regularity of a projective system. Zbl 0883.13014
Kreuzer, Martin; Waldi, Rolf
2
1997
Minimal sets of critical pairs. Zbl 1057.68136
Caboara, Massimo; Kreuzer, Martin; Robbiano, Lorenzo
2
2002
Contributions to the theory of zero-dimensional subschemes of projective spaces. (Beiträge zur Theorie der nulldimensionalen Unterschemata projektiver Räume.) Zbl 0907.14022
Kreuzer, Martin
2
1998
The geometry of border bases. Zbl 1216.13018
Kreuzer, Martin; Robbiano, Lorenzo
2
2011
On the Cayley-Bacharach property. Zbl 1419.13046
Kreuzer, Martin; Long, Le Ngoc; Robbiano, Lorenzo
2
2019
Faithful real representations of cyclically pinched one-relator groups. Zbl 1337.20046
Fine, B.; Kreuzer, M.; Rosenberger, G.
1
2014
Basic tools for computing in multigraded rings. Zbl 1048.13019
Kreuzer, Martin; Robbiano, Lorenzo
1
2003
Algebraic attacks using SAT-solvers. Zbl 1213.13043
Jovanovic, Philipp; Kreuzer, Martin
1
2010
Kähler differential algebras for 0-dimensional schemes. Zbl 1388.13051
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
1
2018
Gröbner basis techniques in the computation of two-sided syzygies. Zbl 1123.16036
Bluhm, Holger; Kreuzer, Martin
1
2006
Cayley-Bacharach schemes and their canonical modules. Zbl 0737.14015
Geramita, A. V.; Kreuzer, Martin; Robbiano, Lorenzo
1
1990
On 0-dimensional complete intersections. Zbl 0737.14016
Kreuzer, Martin
1
1990
Computational aspects of Burnside rings. I: The ring structure. Zbl 1390.19001
Kreuzer, Martin; Patil, Dilip P.
1
2017
The Dedekind different of a Cayley-Bacharach scheme. Zbl 07058858
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
1
2019
Gröbner bases for syzygy modules of border bases. Zbl 1328.13039
Kreuzer, Martin; Kriegl, Markus
1
2014
Integrating algebraic and SAT solvers. Zbl 07036049
Horáček, Jan; Burchard, Jan; Becker, Bernd; Kreuzer, Martin
1
2017
On the Cayley-Bacharach property. Zbl 1419.13046
Kreuzer, Martin; Long, Le Ngoc; Robbiano, Lorenzo
2
2019
The Dedekind different of a Cayley-Bacharach scheme. Zbl 07058858
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
1
2019
Kähler differential algebras for 0-dimensional schemes. Zbl 1388.13051
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
1
2018
Characterizations of zero-dimensional complete intersections. Zbl 1387.14126
Kreuzer, Martin; Long, Le Ngoc
3
2017
Computational aspects of Burnside rings. I: The ring structure. Zbl 1390.19001
Kreuzer, Martin; Patil, Dilip P.
1
2017
Integrating algebraic and SAT solvers. Zbl 07036049
Horáček, Jan; Burchard, Jan; Becker, Bernd; Kreuzer, Martin
1
2017
Computational linear and commutative algebra. Zbl 1360.13001
Kreuzer, Martin; Robbiano, Lorenzo
9
2016
Kähler differentials and Kähler differents for fat point schemes. Zbl 1327.13092
Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc
4
2015
A course in mathematical cryptography. Zbl 1391.94002
Baumslag, Gilbert; Fine, Benjamin; Kreuzer, Martin; Rosenberger, Gerhard
2
2015
A linear algebra attack to group-ring-based key exchange protocols. Zbl 1380.94108
Kreuzer, M.; Myasnikov, A. D.; Ushakov, A.
3
2014
Faithful real representations of cyclically pinched one-relator groups. Zbl 1337.20046
Fine, B.; Kreuzer, M.; Rosenberger, G.
1
2014
Gröbner bases for syzygy modules of border bases. Zbl 1328.13039
Kreuzer, Martin; Kriegl, Markus
1
2014
On the uniformity of zero-dimensional complete intersections. Zbl 1291.14075
Geramita, Anthony V.; Kreuzer, Martin
2
2013
Subideal border bases. Zbl 1219.13017
Kreuzer, Martin; Poulisse, Henk
3
2011
The geometry of border bases. Zbl 1216.13018
Kreuzer, Martin; Robbiano, Lorenzo
2
2011
Algebraic attacks using SAT-solvers. Zbl 1213.13043
Jovanovic, Philipp; Kreuzer, Martin
1
2010
Approximate computation of zero-dimensional polynomial ideals. Zbl 1176.13003
Heldt, Daniel; Kreuzer, Martin; Pokutta, Sebastian; Poulisse, Hennie
17
2009
From oil fields to Hilbert schemes. Zbl 1191.13034
Kreuzer, Martin; Poulisse, Hennie; Robbiano, Lorenzo
4
2009
Algebraic attacks galore! Zbl 1246.94032
Kreuzer, Martin
3
2009
Deformations of border bases. Zbl 1190.13022
Kreuzer, Martin; Robbiano, Lorenzo
10
2008
Computing Hilbert-Kunz functions of 1-dimensional graded rings. Zbl 1177.13063
Kreuzer, Martin
3
2007
Computing border bases. Zbl 1097.13036
Kehrein, Achim; Kreuzer, Martin
21
2006
Gröbner basis cryptosystems. Zbl 1104.94015
Ackermann, Peter; Kreuzer, Martin
4
2006
Gröbner basis techniques in the computation of two-sided syzygies. Zbl 1123.16036
Bluhm, Holger; Kreuzer, Martin
1
2006
Computational commutative algebra. II. Zbl 1090.13021
Kreuzer, Martin; Robbiano, Lorenzo
116
2005
An algebraist’s view on border bases. Zbl 1152.13304
Kehrein, Achim; Kreuzer, Martin; Robbiano, Lorenzo
20
2005
Characterizations of border bases. Zbl 1081.13011
Kehrein, Achim; Kreuzer, Martin
19
2005
Efficiently computing minimal sets of critical pairs. Zbl 1137.13315
Caboara, Massimo; Kreuzer, Martin; Robbiano, Lorenzo
7
2005
Computing zero-dimensional schemes. Zbl 1120.13027
Abbott, John; Kreuzer, Martin; Robbiano, Lorenzo
4
2005
Basic tools for computing in multigraded rings. Zbl 1048.13019
Kreuzer, Martin; Robbiano, Lorenzo
1
2003
Minimal sets of critical pairs. Zbl 1057.68136
Caboara, Massimo; Kreuzer, Martin; Robbiano, Lorenzo
2
2002
Computational commutative algebra. I. Zbl 0956.13008
Kreuzer, Martin; Robbiano, Lorenzo
153
2000
Computing ideals of points. Zbl 0977.13011
Abbott, John; Bigatti, Anna Maria; Kreuzer, Martin; Robbiano, Lorenzo
21
2000
Determinantal schemes and Buchsbaum-Rim sheaves. Zbl 0999.14014
Kreuzer, Martin; Migliore, Juan C.; Peterson, Chris; Nagel, Uwe
14
2000
On the canonical ideal of a set of points. Zbl 0971.14037
Kreuzer, Martin
6
2000
Kähler differentials for points in \(\mathbb{P}^n\). Zbl 0943.13019
de Dominicis, Gabriel; Kreuzer, Martin
8
1999
Extremal zero-dimensional subschemes of \({\mathbb{P}}^2\). Zbl 0987.14032
Kreuzer, Bettina; Kreuzer, Martin
5
1998
Contributions to the theory of zero-dimensional subschemes of projective spaces. (Beiträge zur Theorie der nulldimensionalen Unterschemata projektiver Räume.) Zbl 0907.14022
Kreuzer, Martin
2
1998
On the Castelnuovo-Mumford regularity of a projective system. Zbl 0883.13014
Kreuzer, Martin; Waldi, Rolf
2
1997
How to compute the canonical module of a set of points. Zbl 0894.13003
Beck, Stefan; Kreuzer, Martin
4
1996
On maximal Cayley-Bacharach schemes. Zbl 0849.14017
Kreuzer, Martin; Robbiano, Lorenzo
2
1995
On the canonical module of a 0-dimensional scheme. Zbl 0826.14030
Kreuzer, Martin
17
1994
Some applications of the canonical module of a \(0\)-dimensional scheme. Zbl 0826.14031
Kreuzer, Martin
4
1994
Cayley–Bacharach schemes and their canonical modules. Zbl 0793.14002
Geramita, Anthony V.; Kreuzer, Martin; Robbiano, Lorenzo
41
1993
On 0-dimensional complete intersections. Zbl 0741.14030
Kreuzer, Martin
14
1992
Cayley-Bacharach schemes and their canonical modules. Zbl 0737.14015
Geramita, A. V.; Kreuzer, Martin; Robbiano, Lorenzo
1
1990
On 0-dimensional complete intersections. Zbl 0737.14016
Kreuzer, Martin
1
1990
Vektorbündel und der Satz von Cayley-Bacharach. (Vector bundles and the Cayley-Bacharach theorem). Zbl 0685.14012
Kreuzer, Martin
4
1989
Traces in strict Frobenius algebras and strict complete intersections. Zbl 0626.13009
Kreuzer, Martin; Kunz, Ernst
9
1987
all top 5

Cited by 414 Authors

35 Kreuzer, Martin
19 Robbiano, Lorenzo
13 Villarreal, Rafael Heraclio
11 Bigatti, Anna Maria
9 Long, Le Ngoc
8 Dinwoodie, Ian Hepburn
8 Roggero, Margherita
7 Abbott, John A.
7 Migliore, Juan Carlos
7 Vaz Pinto, Maria
6 Cioffi, Francesca
6 Conca, Aldo
6 Kleppe, Jan Oddvar
6 Peterson, Chris
6 Rapallo, Fabio
5 Coutinho, S. C.
5 Hashemi, Amir
5 Nagel, Uwe
5 Trần Nguyễn Khánh Linh
4 Bertone, Cristina
4 Caboara, Massimo
4 Damiano, Alberto
4 Fassino, Claudia
4 Faugère, Jean-Charles
4 Geramita, Anthony Vito
4 Gorla, Elisa
4 Guardo, Elena
4 Javanbakht, Masoumeh
4 Lella, Paolo
4 Rentería-Márquez, Carlos
4 Rogantin, Maria Piera
4 Sabadini, Irene
4 Seiler, Werner M.
4 Struppa, Daniele Carlo
4 Torrente, Maria-Laura
4 Van Tuyl, Adam
4 Waldi, Rolf
3 Ahn, Jeaman
3 Beltrametti, Mauro C.
3 Dong, Tian
3 Dukkipati, Ambedkar
3 Kemper, Gregor
3 Kumar, Arvind
3 López, Hiram H.
3 Lundqvist, Samuel
3 Margulies, Susan
3 Möller, Hans Michael
3 Oberst, Ulrich
3 Pal, Debasattam
3 Perry, John Edward
3 Pistone, Giovanni
3 Pokutta, Sebastian
3 Riccomagno, Eva
3 Sharifan, Leila
3 Shin, Yong Su
3 Zhang, Shugong
2 Albert, Mario
2 Aleksandrov, Aleksandr Grigor’evich
2 Arponen, Teijo
2 Batselier, Kim
2 Bazzotti, Laura
2 Boij, Mats
2 Carrillo-Pacheco, Jesús
2 Casnati, Gianfranco
2 Ceria, Michela
2 Chiantini, Luca
2 Cho, Younghyun
2 Cipu, Mihai
2 Cooper, Susan Marie
2 De Loera, Jesús A.
2 De Negri, Emanuela
2 Dickenstein, Alicia M.
2 Dimitrova, Elena S.
2 Eisenbud, David
2 Falcón Ganfornina, Raúl Manuel
2 Fine, Benjamin L.
2 Fontana, Roberto
2 Francis, Maria
2 González Sarabia, Manuel
2 Guida, Margherita
2 Hartshorne, Robin
2 He, Qijun
2 Hemmecke, Raymond
2 Horáček, Jan
2 Jayanthan, A. V.
2 Kehrein, Achim
2 King, Simon A.
2 Kunis, Stefan
2 Kunz, Ernst
2 La Scala, Roberto
2 Laurent, Monique
2 Lecouvey, Cédric
2 Lederer, Mathias
2 Lee, Jon
2 Lei, Na
2 Li, Zhe
2 Liang, Ye
2 Malkin, Peter N.
2 Marinari, Maria Grazia
2 Marino, Lucia
...and 314 more Authors
all top 5

Cited in 125 Serials

48 Journal of Symbolic Computation
33 Journal of Algebra
31 Journal of Pure and Applied Algebra
15 Communications in Algebra
13 Journal of Algebra and its Applications
9 Applicable Algebra in Engineering, Communication and Computing
7 Transactions of the American Mathematical Society
6 Beiträge zur Algebra und Geometrie
6 Theoretical Computer Science
6 Mathematics in Computer Science
5 Journal of Commutative Algebra
4 Discrete Mathematics
4 Mathematics of Computation
4 Advances in Mathematics
4 International Journal of Algebra and Computation
4 Designs, Codes and Cryptography
3 Collectanea Mathematica
3 Journal of Computational and Applied Mathematics
3 Journal of Statistical Planning and Inference
3 Manuscripta Mathematica
3 Multidimensional Systems and Signal Processing
3 Linear Algebra and its Applications
3 Finite Fields and their Applications
3 Groups, Complexity, Cryptology
2 Metrika
2 Annals of the Institute of Statistical Mathematics
2 The Annals of Statistics
2 Applied Mathematics and Computation
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Programming and Computer Software
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 The Electronic Journal of Combinatorics
2 Bulletin des Sciences Mathématiques
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Statistical Methods and Applications
2 Journal of Mathematical Cryptology
2 Advances in Mathematics of Communications
2 Journal of Statistical Theory and Practice
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Mathematische Semesterberichte
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Scandinavian Journal of Statistics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Arkiv för Matematik
1 Bulletin of Mathematical Biology
1 Mathematics Magazine
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Automatica
1 BIT
1 Duke Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Econometrics
1 Journal of Optimization Theory and Applications
1 Le Matematiche
1 Meccanica
1 Michigan Mathematical Journal
1 Numerische Mathematik
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Topology and its Applications
1 European Journal of Combinatorics
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Applied Numerical Mathematics
1 Journal of Complexity
1 Journal of Automated Reasoning
1 International Journal of Approximate Reasoning
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Computational Statistics and Data Analysis
1 Computational Complexity
1 Experimental Mathematics
1 Combinatorics, Probability and Computing
1 Georgian Mathematical Journal
1 Economic Theory
1 Advances in Computational Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of Mathematical Chemistry
1 Séminaire Lotharingien de Combinatoire
...and 25 more Serials
all top 5

Cited in 41 Fields

247 Commutative algebra (13-XX)
144 Algebraic geometry (14-XX)
67 Computer science (68-XX)
40 Information and communication theory, circuits (94-XX)
30 Number theory (11-XX)
27 Numerical analysis (65-XX)
23 Combinatorics (05-XX)
20 Statistics (62-XX)
13 Field theory and polynomials (12-XX)
12 Associative rings and algebras (16-XX)
12 Group theory and generalizations (20-XX)
11 Several complex variables and analytic spaces (32-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Functions of a complex variable (30-XX)
7 Systems theory; control (93-XX)
6 Partial differential equations (35-XX)
6 Probability theory and stochastic processes (60-XX)
6 Operations research, mathematical programming (90-XX)
6 Biology and other natural sciences (92-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Ordinary differential equations (34-XX)
4 Approximations and expansions (41-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Quantum theory (81-XX)

Citations by Year

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