Edit Profile (opens in new tab) Traverso, Carlo Co-Author Distance Author ID: traverso.carlo Published as: Traverso, Carlo; Traverso, C. Documents Indexed: 32 Publications since 1969 2 Contributions as Editor Co-Authors: 26 Co-Authors with 26 Joint Publications 468 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Conti, Pasqualina 5 Gianni, Patrizia M. 5 Mora, Teo 4 Caboara, Massimo 3 Zanoni, Alberto 2 Caruso, Fabrizio 2 Fortuna, Elisabetta 2 Gonzalez-Vega, Laureano 2 Marinari, Maria Grazia 2 Parenti, Paola 2 Perret, Ludovic 2 Robbiano, Lorenzo 1 Attardi, Giuseppe 1 Becker, Eberhard 1 Bigatti, Anna Maria 1 Cellini, Paola 1 De Concini, Corrado 1 Dvornicich, Roberto 1 Galligo, André 1 Giovini, Alessandro 1 Gonzalez-Lopez, Maria-Jose 1 Levy-dit-Vehel, Françoise 1 Möller, Hans Michael 1 Niesi, Gianfranco 1 Sakata, Shojiro 1 Sala, Massimiliano all top 5 Serials 4 Journal of Symbolic Computation 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Discrete Applied Mathematics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Compositio Mathematica 1 SIGSAM Bulletin 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Progress in Mathematics all top 5 Fields 21 Commutative algebra (13-XX) 16 Algebraic geometry (14-XX) 16 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 435 times in 357 Documents Cited by ▼ Year ▼ Seminormality and Picard group. Zbl 0205.50501Traverso, Carlo 104 1970 On seminormal schemes. Zbl 0412.14024Greco, S.; Traverso, C. 48 1980 Buchberger algorithm and integer programming. Zbl 0771.13014Conti, Pasqualina; Traverso, Carlo 37 1991 Gröbner bases computation using syzygies. Zbl 0925.13010Möller, H. Michael; Mora, Teo; Traverso, Carlo 32 1992 “One sugar cube, please” or selection strategies in the Buchberger algorithm. Zbl 0933.68161Giovini, Alessandro; Mora, Teo; Niesi, Gianfranco; Robbiano, Lorenzo; Traverso, Carlo 32 1991 Hilbert functions and the Buchberger algorithm. Zbl 0922.13019Traverso, Carlo 21 1996 The shape of the shape lemma. Zbl 0925.13006Becker, Eberhard; Marinari, Maria Grazia; Mora, Teo; Traverso, Carlo 21 1994 Gröbner bases, coding, and cryptography. Zbl 1166.13002 15 2009 Shape determination for real curves and surfaces. Zbl 0557.14011Gianni, Patrizia; Traverso, Carlo 13 1983 Numerical stability and stabilization of Groebner basis computation. Zbl 1072.68700Traverso, Carlo; Zanoni, Alberto 13 2002 Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022Cellini, Paola; Gianni, Patrizia; Traverso, Carlo 9 1991 Strategy-accurate parallel Buchberger algorithms. Zbl 0865.68059Attardi, Giuseppe; Traverso, Carlo 9 1996 A “divide and conquer” algorithm for Hilbert-Poincaré series, multiplicity and dimension of monomial ideals. Zbl 0794.13022Bigatti, Anna Maria; Conti, Pasqualina; Robbiano, Lorenzo; Traverso, Carlo 9 1993 Yet another ideal decomposition algorithm. Zbl 1042.13500Caboara, Massimo; Conti, Pasqualina; Traverso, Carlo 9 1997 Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C. 9 2003 Hilbert stratification and parametric Gröbner bases. Zbl 1169.68662Gonzalez-Vega, Laureano; Traverso, Carlo; Zanoni, Alberto 8 2005 A survey on Polly Cracker systems. Zbl 1177.94159Levy-Dit-Vehel, Françoise; Marinari, Maria Grazia; Perret, Ludovic; Traverso, Carlo 8 2009 Sulla classificazione dei gruppi analitici commutativi di caratteristica positiva. Zbl 0214.48301Traverso, C. 6 1969 Algebraic and semialgebraic proofs: Methods and paradoxes. Zbl 0985.68075Conti, Pasqualina; Traverso, Carlo 4 2001 Specializations of Barsotti-Tate groups. Zbl 0466.14016Traverso, Carlo 4 1981 Gröbner bases for public key cryptography. Zbl 1237.94053Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo 3 2008 Lattice polly cracker cryptosystems. Zbl 1213.94088Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo 3 2011 Efficient algorithms for ideal operations. (Extended abstract). Zbl 0934.68132Caboara, Massimo; Traverso, Carlo 3 1998 Gröbner bases specialization through Hilbert functions: The homogeneous case. Zbl 1067.13502Gonzalez-Lopez, M.-J.; Gonzalez-Vega, L.; Traverso, C.; Zanoni, A. 3 2000 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014Dvornicich, Roberto; Traverso, Carlo 2 1989 p-divisible groups over fields. Zbl 0293.14011Traverso, Carlo 2 1973 Computing the topology of real algebraic surfaces. Zbl 1072.68666Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo 2 2002 Computing the conductor of an integral extension. Zbl 0755.13012Conti, Pasqualina; Traverso, Carlo 1 1991 Effective methods in algebraic geometry. Symposium ’MEGA-90’ held in Castiglioncello, Italy, April 17-21, 1990. Zbl 0721.00009 1 1991 Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo 1 1985 A study on algebraic algorithms: The normalization. Zbl 0643.14001Traverso, Carlo 1 1986 A case of automatic theorem proving in Euclidean geometry: The Maclane \(8_ 3\) theorem. Zbl 0883.68109Conti, Pasqualina; Traverso, Carlo 1 1995 Practical determination of the dimension of an algebraic variety. Zbl 0685.14001Galligo, André; Traverso, Carlo 1 1989 Lattice polly cracker cryptosystems. Zbl 1213.94088Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo 3 2011 Gröbner bases, coding, and cryptography. Zbl 1166.13002 15 2009 A survey on Polly Cracker systems. Zbl 1177.94159Levy-Dit-Vehel, Françoise; Marinari, Maria Grazia; Perret, Ludovic; Traverso, Carlo 8 2009 Gröbner bases for public key cryptography. Zbl 1237.94053Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo 3 2008 Hilbert stratification and parametric Gröbner bases. Zbl 1169.68662Gonzalez-Vega, Laureano; Traverso, Carlo; Zanoni, Alberto 8 2005 Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C. 9 2003 Numerical stability and stabilization of Groebner basis computation. Zbl 1072.68700Traverso, Carlo; Zanoni, Alberto 13 2002 Computing the topology of real algebraic surfaces. Zbl 1072.68666Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo 2 2002 Algebraic and semialgebraic proofs: Methods and paradoxes. Zbl 0985.68075Conti, Pasqualina; Traverso, Carlo 4 2001 Gröbner bases specialization through Hilbert functions: The homogeneous case. Zbl 1067.13502Gonzalez-Lopez, M.-J.; Gonzalez-Vega, L.; Traverso, C.; Zanoni, A. 3 2000 Efficient algorithms for ideal operations. (Extended abstract). Zbl 0934.68132Caboara, Massimo; Traverso, Carlo 3 1998 Yet another ideal decomposition algorithm. Zbl 1042.13500Caboara, Massimo; Conti, Pasqualina; Traverso, Carlo 9 1997 Hilbert functions and the Buchberger algorithm. Zbl 0922.13019Traverso, Carlo 21 1996 Strategy-accurate parallel Buchberger algorithms. Zbl 0865.68059Attardi, Giuseppe; Traverso, Carlo 9 1996 A case of automatic theorem proving in Euclidean geometry: The Maclane \(8_ 3\) theorem. Zbl 0883.68109Conti, Pasqualina; Traverso, Carlo 1 1995 The shape of the shape lemma. Zbl 0925.13006Becker, Eberhard; Marinari, Maria Grazia; Mora, Teo; Traverso, Carlo 21 1994 A “divide and conquer” algorithm for Hilbert-Poincaré series, multiplicity and dimension of monomial ideals. Zbl 0794.13022Bigatti, Anna Maria; Conti, Pasqualina; Robbiano, Lorenzo; Traverso, Carlo 9 1993 Gröbner bases computation using syzygies. Zbl 0925.13010Möller, H. Michael; Mora, Teo; Traverso, Carlo 32 1992 Buchberger algorithm and integer programming. Zbl 0771.13014Conti, Pasqualina; Traverso, Carlo 37 1991 “One sugar cube, please” or selection strategies in the Buchberger algorithm. Zbl 0933.68161Giovini, Alessandro; Mora, Teo; Niesi, Gianfranco; Robbiano, Lorenzo; Traverso, Carlo 32 1991 Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022Cellini, Paola; Gianni, Patrizia; Traverso, Carlo 9 1991 Computing the conductor of an integral extension. Zbl 0755.13012Conti, Pasqualina; Traverso, Carlo 1 1991 Effective methods in algebraic geometry. Symposium ’MEGA-90’ held in Castiglioncello, Italy, April 17-21, 1990. Zbl 0721.00009 1 1991 Newton symmetric functions and the arithmetic of algebraically closed fields. Zbl 0689.12014Dvornicich, Roberto; Traverso, Carlo 2 1989 Practical determination of the dimension of an algebraic variety. Zbl 0685.14001Galligo, André; Traverso, Carlo 1 1989 A study on algebraic algorithms: The normalization. Zbl 0643.14001Traverso, Carlo 1 1986 Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo 1 1985 Shape determination for real curves and surfaces. Zbl 0557.14011Gianni, Patrizia; Traverso, Carlo 13 1983 Specializations of Barsotti-Tate groups. Zbl 0466.14016Traverso, Carlo 4 1981 On seminormal schemes. Zbl 0412.14024Greco, S.; Traverso, C. 48 1980 p-divisible groups over fields. Zbl 0293.14011Traverso, Carlo 2 1973 Seminormality and Picard group. Zbl 0205.50501Traverso, Carlo 104 1970 Sulla classificazione dei gruppi analitici commutativi di caratteristica positiva. Zbl 0214.48301Traverso, C. 6 1969 all cited Publications top 5 cited Publications all top 5 Cited by 463 Authors 17 Hashemi, Amir 8 Faugère, Jean-Charles 7 Mora, Teo 6 Fontana, Marco 6 Safey El Din, Mohab 6 Seiler, Werner M. 6 Thomas, Rekha R. 5 Anderson, David Fenimore 5 Cumino, Caterina 5 Eder, Christian 5 Fortuna, Elisabetta 5 Gianni, Patrizia M. 5 Manaresi, Mirella 4 Greco, Silvio 4 Greither, Cornelius 4 Hamann, Eloise 4 Ischebeck, Friedrich 4 Lei, Na 4 Lichtblau, Daniel A. 4 M.-Alizadeh, Benyamin 4 Moreno Maza, Marc 4 Noro, Masayuki 4 Orecchia, Ferruccio 4 Rush, David E. 4 Schwede, Karl E. 4 Sturmfels, Bernd 4 Verron, Thibaut 4 Weibel, Charles A. 4 Weismantel, Robert 4 Yokoyama, Kazuhiro 3 Alcazar, Juan Gerardo 3 Basiri, Abdolali 3 Brickenstein, Michael 3 Caboara, Massimo 3 Ceria, Michela 3 Cioffi, Francesca 3 Dobbs, David Earl 3 Farouki, Rida T. 3 Gerdt, Vladimir Petrovich 3 Gonzalez-Vega, Laureano 3 Greuel, Gert-Martin 3 Hass, Joel 3 Hoşten, Serkan 3 Kollár, János 3 Lasserre, Jean-Bernard 3 Lombardi, Henri 3 Montes, Antonio 3 Mourrain, Bernard 3 Parenti, Paola 3 Perry, John Edward 3 Puerto Albandoz, Justo 3 Rahmany, Sajjad 3 Trân, Quôc-Nam 3 Traverso, Carlo 3 Tsai, Ya-Lun 3 Vasiu, Adrian 3 Vitulli, Marie A. 3 Xia, Peng 3 Zhang, Shugong 2 Adkins, William A. 2 Ars, Gwénolé 2 Asadi, Mohammadali 2 Asanuma, Teruo 2 Ballico, Edoardo 2 Barhoumi, Sami 2 Bhosle, Usha N. 2 Bigatti, Anna Maria 2 Blanco, Víctor 2 Blinkov, Yuri A. 2 Brandt, Alexander 2 Chakrabarti, Soumen 2 Cortiñas, Guillermo H. 2 Davis, Edward D. 2 Dayton, Barry H. 2 Dehghani Darmian, Mahdi 2 Díaz-Toca, Gema María 2 Dreyer, Alexander 2 Epstein, Neil 2 Fukuda, Komei 2 Gago-Vargas, Jesús 2 Geramita, Anthony Vito 2 Guida, Margherita 2 Han, Chang Yong 2 Hartillo, I. 2 Hasemeyer, Christian 2 Hauenstein, Jonathan D. 2 Heintz, Joos 2 Heitmann, Raymond C. 2 Hochster, Melvin 2 Javanbakht, Masoumeh 2 Jensen, Anders Nedergaard 2 Kako, Fujio 2 Lairez, Pierre 2 Luminati, Domenico 2 Mahdou, Najib 2 Manubens, Montserrat 2 Martínez-Moro, Edgar 2 Mohr, Rafael 2 Monnier, Jean-Philippe 2 Nicole, Marc-Hubert ...and 363 more Authors all top 5 Cited in 103 Serials 61 Journal of Symbolic Computation 45 Journal of Algebra 26 Journal of Pure and Applied Algebra 13 Applicable Algebra in Engineering, Communication and Computing 9 Mathematics in Computer Science 8 Compositio Mathematica 8 Theoretical Computer Science 7 Rendiconti del Seminario Matematico della Università di Padova 6 Proceedings of the American Mathematical Society 5 Mathematische Zeitschrift 5 Programming and Computer Software 5 Journal of Systems Science and Complexity 4 Mathematics and Computers in Simulation 4 Computer Aided Geometric Design 4 Designs, Codes and Cryptography 4 Mathematical Programming. Series A. Series B 4 Journal of Algebra and its Applications 3 Discrete Applied Mathematics 3 Mathematics of Computation 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Numerical Algorithms 3 Journal of Mathematical Sciences (New York) 2 Communications in Algebra 2 The Annals of Statistics 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Transactions of the American Mathematical Society 2 Bulletin of the Korean Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Complexity 2 European Journal of Operational Research 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Discrete Optimization 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 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 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Information Sciences 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Econometrics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Combinatorica 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Parallel Programming 1 Computers & Operations Research 1 Journal of Automated Reasoning 1 Journal of Cryptology 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 Computational Geometry 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Journal of Algebraic Geometry 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Computer Science Journal of Moldova 1 Transformation Groups 1 Mathematical Methods of Operations Research 1 Journal of Combinatorial Optimization 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Foundations of Computational Mathematics 1 Natural Computing 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Journal of Commutative Algebra 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 ISRN Computational Mathematics 1 JAMM. Journal of Advanced Mathematical Modeling ...and 3 more Serials all top 5 Cited in 39 Fields 220 Commutative algebra (13-XX) 138 Algebraic geometry (14-XX) 109 Computer science (68-XX) 32 Numerical analysis (65-XX) 27 Operations research, mathematical programming (90-XX) 17 Information and communication theory, circuits (94-XX) 12 Associative rings and algebras (16-XX) 11 Number theory (11-XX) 11 Field theory and polynomials (12-XX) 10 Group theory and generalizations (20-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 6 Geometry (51-XX) 5 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year