## Nart, Enric

Compute Distance To:
 Author ID: nart.enric Published as: Nart, Enric; Nart, E. Further Spellings: Nart Viñals, Enric External Links: MGP · ResearchGate · dblp
 Documents Indexed: 55 Publications since 1979 Reviewing Activity: 124 Reviews Co-Authors: 26 Co-Authors with 44 Joint Publications 277 Co-Co-Authors
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### Co-Authors

 11 single-authored 9 Guàrdia, Jordi 8 Montes, Jesús 6 Ritzenthaler, Christophe 5 Vila, Núria 4 Maisner, Daniel 3 De Oliveira, Nathália Moraes 3 Howe, Everett W. 3 Llorente, Pascual 3 Martí, Ricard 2 Cardona, Gabriel 2 Comalada, Salvador 2 Deninger, Christopher 2 Fernandez, Julio 2 López, Amparo 2 Xarles, Xavier 1 Alberich-Carramiñana, Maria 1 Bauch, Jens-Dietrich 1 Bayer Isant, Pilar 1 Boix, Alberto Fernandez 1 Demirkiran, Cevahir 1 El Fadil, Lhoussain 1 Pauli, Sebastian 1 Pujolàs, Jordi 1 Roé, Joaquim 1 Sadornil, Daniel 1 Stainsby, Hayden D.
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### Serials

 4 Journal of Number Theory 3 Acta Arithmetica 3 Journal of Algebra 3 Publicacions Matemàtiques 3 Finite Fields and their Applications 2 Transactions of the American Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 1 Mathematics of Computation 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 European Journal of Combinatorics 1 Publicacions. Secciò de Matemàtiques 1 Journal of Symbolic Computation 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Experimental Mathematics 1 Mathematical Research Letters 1 LMS Journal of Computation and Mathematics 1 Foundations of Computational Mathematics 1 Journal of Algebra and its Applications 1 Journal of Mathematical Cryptology
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### Fields

 38 Number theory (11-XX) 24 Algebraic geometry (14-XX) 11 Field theory and polynomials (12-XX) 8 Commutative algebra (13-XX) 4 Geometry (51-XX) 3 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

46 Publications have been cited 322 times in 193 Documents Cited by Year
Newton polygons of higher order in algebraic number theory. Zbl 1252.11091
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2012
Effective determination of the decomposition of the rational primes in a cubic field. Zbl 0514.12003
Llorente, Pascual; Nart, Enric
1983
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056
Maisner, Daniel; Nart, Enric
2002
Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2011
On a theorem of Ore. Zbl 0762.11045
Montes, Jesús; Nart, Enric
1992
Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106
Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian
2012
Okutsu invariants and Newton polygons. Zbl 1266.11121
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2010
A new computational approach to ideal theory in number fields. Zbl 1287.11142
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2013
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
2009
Additive reduction of algebraic tori. Zbl 0782.14042
Nart, Enric; Xarles, Xavier
1991
Newton polygons and $$p$$-integral bases of quartic number fields. Zbl 1297.11134
El Fadil, Lhoussain; Montes, Jesús; Nart, Enric
2012
Higher Newton polygons and integral bases. Zbl 1394.11071
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2015
Curves of genus two over fields of even characteristic. Zbl 1097.11033
Cardona, Gabriel; Nart, Enric; Pujolàs, Jordi
2005
Formal groups and $$L$$-series. Zbl 0741.14026
Deninger, Christopher; Nart, Enric
1990
Orbits of Galois invariant $$n$$-sets of $$\mathbb P^ 1$$ under the action of $$\text{PGL}_ 2$$. Zbl 1036.14011
López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier
2002
Discriminants of number fields defined by trinomials. Zbl 0493.12010
Llórente, P.; Nart, E.; Vila, N.
1984
Defectless polynomials over Henselian fields and inductive valuations. Zbl 1443.12004
de Oliveira, Nathália Moraes; Nart, Enric
2020
Key polynomials over valued fields. Zbl 07173903
Nart, Enric
2020
Complexity of OM factorizations of polynomials over local fields. Zbl 1343.11099
Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D.
2013
Residual ideals of MacLane valuations. Zbl 1317.13006
Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2015
Classification of Goppa codes of genus zero. Zbl 0964.05071
López, Amparo; Nart, Enric
1999
Hyperelliptic curves of genus three over finite fields of even characteristic. Zbl 1049.11063
2004
Genetics of polynomials over local fields. Zbl 1396.11143
Guàrdia, Jordi; Nart, Enric
2015
Zeta function and cryptographic exponent of supersingular curves of genus 2. Zbl 1151.11352
Cardona, Gabriel; Nart, Enric
2007
Equations with absolute Galois group isomorphic to $$A_ n$$. Zbl 0511.12010
Nart, Enric; Vila, Nuria
1983
The Bloch complex in codimension one and arithmetic duality. Zbl 0728.14002
Nart, Enric
1989
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
2008
Counting hyperelliptic curves. Zbl 1214.11078
Nart, Enric
2009
Local computation of differents and discriminants. Zbl 1330.11082
Nart, Enric
2014
On the index of a number field. Zbl 0563.12006
Nart, Enric
1985
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
2008
Equations of the type $$x^n+aX+b$$ with absolute Galois group $$S_n$$. Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501
Nart, E.; Vila, N.
1979
Okutsu-Montes representations of prime ideals of one-dimensional integral closures. Zbl 1248.11107
Nart, Enric
2011
On the equivalence of types. Zbl 1409.11101
Nart, Enric
2016
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
2006
Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039
Llorente, P.; Nart, E.; Vila, N.
1991
Modular invariant and good reduction of elliptic curves. Zbl 0734.14013
1992
The formal completion of the Néron model of $$J_ 0(p)$$. Zbl 0751.14017
Nart, Enric
1991
Formal group laws for certain formal groups arising from modular curves. Zbl 0824.14039
Nart, Enric
1993
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
2010
Isometry classes of codes arising from sets of points in the projective plane. Zbl 1126.51008
Martí, Ricard; Nart, Enric
2004
Zeta functions and genus of quadratic forms. Zbl 0702.11022
Bayer, Pilar; Nart, Enric
1989
Orbits of rational $$n$$-sets of projective spaces under the action of the linear group. Zbl 1146.51008
Martí, Ricard; Nart, Enric
2008
Zeta functions of supersingular curves of genus 2. Zbl 1123.11021
Maisner, Daniel; Nart, Enric
2007
Counting hyperelliptic curves that admit a Koblitz model. Zbl 1152.14021
Demirkiran, Cevahir; Nart, Enric
2008
MacLane-Vaquié chains of valuations on a polynomial ring. Zbl 07439540
Nart, Enric
2021
MacLane-Vaquié chains of valuations on a polynomial ring. Zbl 07439540
Nart, Enric
2021
Defectless polynomials over Henselian fields and inductive valuations. Zbl 1443.12004
de Oliveira, Nathália Moraes; Nart, Enric
2020
Key polynomials over valued fields. Zbl 07173903
Nart, Enric
2020
On the equivalence of types. Zbl 1409.11101
Nart, Enric
2016
Higher Newton polygons and integral bases. Zbl 1394.11071
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2015
Residual ideals of MacLane valuations. Zbl 1317.13006
Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2015
Genetics of polynomials over local fields. Zbl 1396.11143
Guàrdia, Jordi; Nart, Enric
2015
Local computation of differents and discriminants. Zbl 1330.11082
Nart, Enric
2014
A new computational approach to ideal theory in number fields. Zbl 1287.11142
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2013
Complexity of OM factorizations of polynomials over local fields. Zbl 1343.11099
Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D.
2013
Newton polygons of higher order in algebraic number theory. Zbl 1252.11091
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2012
Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106
Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian
2012
Newton polygons and $$p$$-integral bases of quartic number fields. Zbl 1297.11134
El Fadil, Lhoussain; Montes, Jesús; Nart, Enric
2012
Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2011
Okutsu-Montes representations of prime ideals of one-dimensional integral closures. Zbl 1248.11107
Nart, Enric
2011
Okutsu invariants and Newton polygons. Zbl 1266.11121
Guàrdia, Jordi; Montes, Jesús; Nart, Enric
2010
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
2010
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
2009
Counting hyperelliptic curves. Zbl 1214.11078
Nart, Enric
2009
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
2008
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
2008
Orbits of rational $$n$$-sets of projective spaces under the action of the linear group. Zbl 1146.51008
Martí, Ricard; Nart, Enric
2008
Counting hyperelliptic curves that admit a Koblitz model. Zbl 1152.14021
Demirkiran, Cevahir; Nart, Enric
2008
Zeta function and cryptographic exponent of supersingular curves of genus 2. Zbl 1151.11352
Cardona, Gabriel; Nart, Enric
2007
Zeta functions of supersingular curves of genus 2. Zbl 1123.11021
Maisner, Daniel; Nart, Enric
2007
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
2006
Curves of genus two over fields of even characteristic. Zbl 1097.11033
Cardona, Gabriel; Nart, Enric; Pujolàs, Jordi
2005
Hyperelliptic curves of genus three over finite fields of even characteristic. Zbl 1049.11063
2004
Isometry classes of codes arising from sets of points in the projective plane. Zbl 1126.51008
Martí, Ricard; Nart, Enric
2004
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056
Maisner, Daniel; Nart, Enric
2002
Orbits of Galois invariant $$n$$-sets of $$\mathbb P^ 1$$ under the action of $$\text{PGL}_ 2$$. Zbl 1036.14011
López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier
2002
Classification of Goppa codes of genus zero. Zbl 0964.05071
López, Amparo; Nart, Enric
1999
Formal group laws for certain formal groups arising from modular curves. Zbl 0824.14039
Nart, Enric
1993
On a theorem of Ore. Zbl 0762.11045
Montes, Jesús; Nart, Enric
1992
Modular invariant and good reduction of elliptic curves. Zbl 0734.14013
1992
Additive reduction of algebraic tori. Zbl 0782.14042
Nart, Enric; Xarles, Xavier
1991
Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039
Llorente, P.; Nart, E.; Vila, N.
1991
The formal completion of the Néron model of $$J_ 0(p)$$. Zbl 0751.14017
Nart, Enric
1991
Formal groups and $$L$$-series. Zbl 0741.14026
Deninger, Christopher; Nart, Enric
1990
The Bloch complex in codimension one and arithmetic duality. Zbl 0728.14002
Nart, Enric
1989
Zeta functions and genus of quadratic forms. Zbl 0702.11022
Bayer, Pilar; Nart, Enric
1989
On the index of a number field. Zbl 0563.12006
Nart, Enric
1985
Discriminants of number fields defined by trinomials. Zbl 0493.12010
Llórente, P.; Nart, E.; Vila, N.
1984
Effective determination of the decomposition of the rational primes in a cubic field. Zbl 0514.12003
Llorente, Pascual; Nart, Enric
1983
Equations with absolute Galois group isomorphic to $$A_ n$$. Zbl 0511.12010
Nart, Enric; Vila, Nuria
1983
Equations of the type $$x^n+aX+b$$ with absolute Galois group $$S_n$$. Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501
Nart, E.; Vila, N.
1979
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### Cited by 217 Authors

 27 Nart, Enric 9 Khanduja, Sudesh K. 8 El Fadil, Lhoussain 8 Ritzenthaler, Christophe 7 Guàrdia, Jordi 6 Montes, Jesús 5 Howe, Everett W. 5 Kishi, Yasuhiro 5 McGuire, Gary 5 Salinier, Alain 5 Spearman, Blair Kenneth 4 Movahhedi, Abbas 4 Pujolàs, Jordi 4 Vila, Núria 3 Bauch, Jens-Dietrich 3 Ben Yakkou, Hamid 3 De Oliveira, Nathália Moraes 3 Del Corso, Ilaria 3 Gassert, Thomas Alden 3 Jakhar, Anuj 3 Kida, Masanari 3 Kumar, Munish 3 Pauli, Sebastian 3 Pries, Rachel J. 3 Sangwan, Neeraj 3 Scholl, Travis 3 Xarles, Xavier 2 Aubry, Yves 2 Bayad, Abdelmejid 2 Bensebaa, Boualem 2 Bitan, Rony A. 2 Cardona, Gabriel 2 Davis, Chad Tyler 2 Demchenko, Oleg Vyacheslavovich 2 Deng, Yingpu 2 Dvornicich, Roberto 2 Ershov, Yuriĭ Leonidovich 2 Fernandez, Julio 2 Freeman, David Mandell 2 Geisser, Thomas H. 2 Gonzalez-Avilés, Cristian D. 2 Haloui, Safia 2 Humphries, Peter J. 2 Jhorar, Bablesh 2 Jones, Lenny K. 2 Komatsu, Toru 2 Kumar, Sanjeev 2 Lauter, Kristin Estella 2 Lercier, Reynald 2 Lombardo, Davide M. 2 Maisner, Daniel 2 Marseglia, Stefano 2 Martí, Ricard 2 Miret, Josep M. 2 Nicaise, Johannes 2 Nikseresht, Azadeh 2 Plans, Bernat 2 Sairaiji, Fumio 2 Seddik, Mohammed 2 Smith, Hanson 2 Stainsby, Hayden D. 2 Thériault, Nicolas 2 Williams, Kenneth S. 2 Zaytsev, Alexey 1 Achter, Jeffrey D. 1 Afanas’eva, Sof’ya Sergeevna 1 Ahmadi, Omran 1 Alaca, Şaban 1 Alberich-Carramiñana, Maria 1 Ayotte, David 1 Bayer Isant, Pilar 1 Benger, Naomi 1 Berardini, Elena 1 Bertapelle, Alessandra 1 Boix, Alberto Fernandez 1 Bondarko, Mikhail Vladimirovich 1 Bosch, Siegfried 1 Bremner, Andrew 1 Bröker, Reinier 1 Chakraborty, Kalyan 1 Chang, Mei-Chu 1 Charlemagne, Manuel 1 Chattopadhyay, Jaitra 1 Chillali, Abdelhakim 1 Chow, Sam 1 Chrétien, P. 1 Cilleruelo, Javier 1 Clemm, Amanda 1 Czogała, Alfred 1 Darkey-Mensah, Mawunyo Kofi 1 Demirkiran, Cevahir 1 Devin, Lucile 1 Didi, Jalal 1 Dietmann, Rainer 1 Dokchitser, Tim 1 Doris, Christopher 1 dos Santos Barnabé, Matheus 1 Elliott, Jesse 1 Espinosa García, J. 1 Farnell, Shawn ...and 117 more Authors
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### Cited in 75 Serials

 32 Journal of Number Theory 11 Finite Fields and their Applications 10 International Journal of Number Theory 8 Journal de Théorie des Nombres de Bordeaux 7 Communications in Algebra 7 Mathematics of Computation 6 Journal of Algebra 5 Journal of Pure and Applied Algebra 5 Journal of Symbolic Computation 5 Journal of Algebra and its Applications 4 Advances in Mathematics 4 Functiones et Approximatio. Commentarii Mathematici 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Experimental Mathematics 3 LMS Journal of Computation and Mathematics 3 Journal of Mathematical Cryptology 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Mathematische Annalen 2 Proceedings of the Japan Academy. Series A 2 Linear Algebra and its Applications 2 Applicable Analysis and Discrete Mathematics 2 Research in Number Theory 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Algebra and Logic 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Michigan Mathematical Journal 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 $$K$$-Theory 1 Publicacions Matemàtiques 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 International Journal of Computer Mathematics 1 Vestnik St. Petersburg University. Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Fundamenta Informaticae 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Confluentes Mathematici 1 Journal of Linear and Topological Algebra
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### Cited in 14 Fields

 150 Number theory (11-XX) 74 Algebraic geometry (14-XX) 29 Field theory and polynomials (12-XX) 21 Commutative algebra (13-XX) 11 Information and communication theory, circuits (94-XX) 10 Group theory and generalizations (20-XX) 4 Associative rings and algebras (16-XX) 3 $$K$$-theory (19-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX)