Edit Profile Nart, Enric Compute Distance To: Compute Author ID: nart.enric Published as: Nart, Enric; Nart, E. External Links: MGP · ResearchGate · dblp Documents Indexed: 54 Publications since 1979 Reviewing Activity: 124 Reviews all top 5 Co-Authors 10 single-authored 9 Guàrdia, Jordi 8 Montes, Jesús 6 Ritzenthaler, Christophe 5 Vila, Núria 4 Maisner, Daniel 3 De Oliveira, Nathália Moraes 3 Llorente, Pascual 3 Martí, Ricard 2 Cardona, Gabriel 2 Comalada, Salvador 2 Deninger, Christopher 2 Fernandez, Julio 2 Howe, Everett W. 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. all top 5 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 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 all top 5 Fields 38 Number theory (11-XX) 24 Algebraic geometry (14-XX) 10 Field theory and polynomials (12-XX) 7 Commutative algebra (13-XX) 4 Geometry (51-XX) 3 Combinatorics (05-XX) 3 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 291 times in 174 Documents Cited by ▼ Year ▼ Newton polygons of higher order in algebraic number theory. Zbl 1252.11091Guàrdia, Jordi; Montes, Jesús; Nart, Enric 27 2012 Effective determination of the decomposition of the rational primes in a cubic field. Zbl 0514.12003Llorente, Pascual; Nart, Enric 25 1983 Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056Maisner, Daniel; Nart, Enric 22 2002 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2011 On a theorem of Ore. Zbl 0762.11045Montes, Jesús; Nart, Enric 15 1992 Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian 14 2012 Okutsu invariants and Newton polygons. Zbl 1266.11121Guàrdia, Jordi; Montes, Jesús; Nart, Enric 13 2010 Additive reduction of algebraic tori. Zbl 0782.14042Nart, Enric; Xarles, Xavier 11 1991 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 Curves of genus two over fields of even characteristic. Zbl 1097.11033Cardona, Gabriel; Nart, Enric; Pujolàs, Jordi 10 2005 A new computational approach to ideal theory in number fields. Zbl 1287.11142Guàrdia, Jordi; Montes, Jesús; Nart, Enric 10 2013 Newton polygons and \(p\)-integral bases of quartic number fields. Zbl 1297.11134El Fadil, Lhoussain; Montes, Jesús; Nart, Enric 9 2012 Higher Newton polygons and integral bases. Zbl 1394.11071Guàrdia, Jordi; Montes, Jesús; Nart, Enric 8 2015 Formal groups and \(L\)-series. Zbl 0741.14026Deninger, Christopher; Nart, Enric 7 1990 Orbits of Galois invariant \(n\)-sets of \(\mathbb P^ 1\) under the action of \(\text{PGL}_ 2\). Zbl 1036.14011López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier 7 2002 Discriminants of number fields defined by trinomials. Zbl 0493.12010Llórente, P.; Nart, E.; Vila, N. 7 1984 Classification of Goppa codes of genus zero. Zbl 0964.05071López, Amparo; Nart, Enric 5 1999 Hyperelliptic curves of genus three over finite fields of even characteristic. Zbl 1049.11063Nart, Enric; Sadornil, Daniel 5 2004 Complexity of OM factorizations of polynomials over local fields. Zbl 1343.11099Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D. 5 2013 Genetics of polynomials over local fields. Zbl 1396.11143Guàrdia, Jordi; Nart, Enric 5 2015 Zeta function and cryptographic exponent of supersingular curves of genus 2. Zbl 1151.11352Cardona, Gabriel; Nart, Enric 4 2007 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023Nart, Enric; Ritzenthaler, Christophe 4 2008 The Bloch complex in codimension one and arithmetic duality. Zbl 0728.14002Nart, Enric 4 1989 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010Nart, Enric; Vila, Nuria 4 1983 Residual ideals of MacLane valuations. Zbl 1317.13006Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric 4 2015 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Counting hyperelliptic curves. Zbl 1214.11078Nart, Enric 3 2009 Defectless polynomials over Henselian fields and inductive valuations. Zbl 1443.12004de Oliveira, Nathália Moraes; Nart, Enric 3 2020 Local computation of differents and discriminants. Zbl 1330.11082Nart, Enric 3 2014 Key polynomials over valued fields. Zbl 07173903Nart, Enric 3 2020 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039Llorente, P.; Nart, E.; Vila, N. 2 1991 Modular invariant and good reduction of elliptic curves. Zbl 0734.14013Comalada, Salvador; Nart, Enric 2 1992 Equations of the type \(x^n+aX+b\) with absolute Galois group \(S_n\). Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501Nart, E.; Vila, N. 2 1979 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019Nart, Enric; Ritzenthaler, Christophe 2 2006 On the index of a number field. Zbl 0563.12006Nart, Enric 2 1985 On the equivalence of types. Zbl 1409.11101Nart, Enric 2 2016 Okutsu-Montes representations of prime ideals of one-dimensional integral closures. Zbl 1248.11107Nart, Enric 2 2011 The formal completion of the Néron model of \(J_ 0(p)\). Zbl 0751.14017Nart, Enric 1 1991 Formal group laws for certain formal groups arising from modular curves. Zbl 0824.14039Nart, Enric 1 1993 Counting hyperelliptic curves that admit a Koblitz model. Zbl 1152.14021Demirkiran, Cevahir; Nart, Enric 1 2008 Zeta functions of supersingular curves of genus 2. Zbl 1123.11021Maisner, Daniel; Nart, Enric 1 2007 Orbits of rational \(n\)-sets of projective spaces under the action of the linear group. Zbl 1146.51008Martí, Ricard; Nart, Enric 1 2008 Isometry classes of codes arising from sets of points in the projective plane. Zbl 1126.51008Martí, Ricard; Nart, Enric 1 2004 Zeta functions and genus of quadratic forms. Zbl 0702.11022Bayer, Pilar; Nart, Enric 1 1989 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036Nart, Enric; Ritzenthaler, Christophe 1 2010 Defectless polynomials over Henselian fields and inductive valuations. Zbl 1443.12004de Oliveira, Nathália Moraes; Nart, Enric 3 2020 Key polynomials over valued fields. Zbl 07173903Nart, Enric 3 2020 On the equivalence of types. Zbl 1409.11101Nart, Enric 2 2016 Higher Newton polygons and integral bases. Zbl 1394.11071Guàrdia, Jordi; Montes, Jesús; Nart, Enric 8 2015 Genetics of polynomials over local fields. Zbl 1396.11143Guàrdia, Jordi; Nart, Enric 5 2015 Residual ideals of MacLane valuations. Zbl 1317.13006Fernández, Julio; Guàrdia, Jordi; Montes, Jesús; Nart, Enric 4 2015 Local computation of differents and discriminants. Zbl 1330.11082Nart, Enric 3 2014 A new computational approach to ideal theory in number fields. Zbl 1287.11142Guàrdia, Jordi; Montes, Jesús; Nart, Enric 10 2013 Complexity of OM factorizations of polynomials over local fields. Zbl 1343.11099Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D. 5 2013 Newton polygons of higher order in algebraic number theory. Zbl 1252.11091Guàrdia, Jordi; Montes, Jesús; Nart, Enric 27 2012 Single-factor lifting and factorization of polynomials over local fields. Zbl 1262.11106Guàrdia, Jordi; Nart, Enric; Pauli, Sebastian 14 2012 Newton polygons and \(p\)-integral bases of quartic number fields. Zbl 1297.11134El Fadil, Lhoussain; Montes, Jesús; Nart, Enric 9 2012 Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields. Zbl 1266.11131Guàrdia, Jordi; Montes, Jesús; Nart, Enric 18 2011 Okutsu-Montes representations of prime ideals of one-dimensional integral closures. Zbl 1248.11107Nart, Enric 2 2011 Okutsu invariants and Newton polygons. Zbl 1266.11121Guàrdia, Jordi; Montes, Jesús; Nart, Enric 13 2010 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036Nart, Enric; Ritzenthaler, Christophe 1 2010 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 Counting hyperelliptic curves. Zbl 1214.11078Nart, Enric 3 2009 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023Nart, Enric; Ritzenthaler, Christophe 4 2008 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Counting hyperelliptic curves that admit a Koblitz model. Zbl 1152.14021Demirkiran, Cevahir; Nart, Enric 1 2008 Orbits of rational \(n\)-sets of projective spaces under the action of the linear group. Zbl 1146.51008Martí, Ricard; Nart, Enric 1 2008 Zeta function and cryptographic exponent of supersingular curves of genus 2. Zbl 1151.11352Cardona, Gabriel; Nart, Enric 4 2007 Zeta functions of supersingular curves of genus 2. Zbl 1123.11021Maisner, Daniel; Nart, Enric 1 2007 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019Nart, Enric; Ritzenthaler, Christophe 2 2006 Curves of genus two over fields of even characteristic. Zbl 1097.11033Cardona, Gabriel; Nart, Enric; Pujolàs, Jordi 10 2005 Hyperelliptic curves of genus three over finite fields of even characteristic. Zbl 1049.11063Nart, Enric; Sadornil, Daniel 5 2004 Isometry classes of codes arising from sets of points in the projective plane. Zbl 1126.51008Martí, Ricard; Nart, Enric 1 2004 Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056Maisner, Daniel; Nart, Enric 22 2002 Orbits of Galois invariant \(n\)-sets of \(\mathbb P^ 1\) under the action of \(\text{PGL}_ 2\). Zbl 1036.14011López, Amparo; Maisner, Daniel; Nart, Enric; Xarles, Xavier 7 2002 Classification of Goppa codes of genus zero. Zbl 0964.05071López, Amparo; Nart, Enric 5 1999 Formal group laws for certain formal groups arising from modular curves. Zbl 0824.14039Nart, Enric 1 1993 On a theorem of Ore. Zbl 0762.11045Montes, Jesús; Nart, Enric 15 1992 Modular invariant and good reduction of elliptic curves. Zbl 0734.14013Comalada, Salvador; Nart, Enric 2 1992 Additive reduction of algebraic tori. Zbl 0782.14042Nart, Enric; Xarles, Xavier 11 1991 Decomposition of primes in number fields defined by trinomials. Zbl 0733.11039Llorente, P.; Nart, E.; Vila, N. 2 1991 The formal completion of the Néron model of \(J_ 0(p)\). Zbl 0751.14017Nart, Enric 1 1991 Formal groups and \(L\)-series. Zbl 0741.14026Deninger, Christopher; Nart, Enric 7 1990 The Bloch complex in codimension one and arithmetic duality. Zbl 0728.14002Nart, Enric 4 1989 Zeta functions and genus of quadratic forms. Zbl 0702.11022Bayer, Pilar; Nart, Enric 1 1989 On the index of a number field. Zbl 0563.12006Nart, Enric 2 1985 Discriminants of number fields defined by trinomials. Zbl 0493.12010Llórente, P.; Nart, E.; Vila, N. 7 1984 Effective determination of the decomposition of the rational primes in a cubic field. Zbl 0514.12003Llorente, Pascual; Nart, Enric 25 1983 Equations with absolute Galois group isomorphic to \(A_ n\). Zbl 0511.12010Nart, Enric; Vila, Nuria 4 1983 Equations of the type \(x^n+aX+b\) with absolute Galois group \(S_n\). Rev. Univ. Santander No. 2, Part 2. Zbl 0938.12501Nart, E.; Vila, N. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 193 Authors 27 Nart, Enric 8 Khanduja, Sudesh K. 7 Guàrdia, Jordi 7 Ritzenthaler, Christophe 6 El Fadil, Lhoussain 6 Montes, Jesús 5 Kishi, Yasuhiro 5 McGuire, Gary 5 Salinier, Alain 5 Spearman, Blair Kenneth 4 Howe, Everett W. 4 Movahhedi, Abbas 4 Pujolàs, Jordi 4 Vila, Núria 3 Bauch, Jens-Dietrich 3 Gassert, Thomas Alden 3 Kida, Masanari 3 Kumar, Munish 3 Pauli, Sebastian 3 Pries, Rachel J. 3 Xarles, Xavier 2 Aubry, Yves 2 Ben Yakkou, Hamid 2 Bensebaa, Boualem 2 Bitan, Rony A. 2 Cardona, Gabriel 2 Davis, Chad Tyler 2 De Oliveira, Nathália Moraes 2 Del Corso, Ilaria 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 Jakhar, Anuj 2 Jhorar, Bablesh 2 Komatsu, Toru 2 Lauter, Kristin Estella 2 Lercier, Reynald 2 Maisner, Daniel 2 Martí, Ricard 2 Miret, Josep M. 2 Nicaise, Johannes 2 Plans, Bernat 2 Sairaiji, Fumio 2 Sangwan, Neeraj 2 Scholl, Travis 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 Demchenko, O. V. 1 Demchenko, Oleg 1 Demirkiran, Cevahir 1 Dietmann, Rainer 1 Dokchitser, Tim 1 Doris, Christopher 1 Elliott, Jesse 1 Espinosa García, J. 1 Farnell, Shawn 1 Fomina, T. V. 1 Friedlander, Eric Mark 1 Galbraith, Steven D. 1 Garaev, Moubariz Z. 1 Garra, Ricard 1 Gauthier, Paul M. 1 Godinho, Hemar 1 Graftieaux, Philippe 1 Greve, Christian 1 Halle, Lars Halvard ...and 93 more Authors all top 5 Cited in 66 Serials 30 Journal of Number Theory 11 Finite Fields and their Applications 10 International Journal of Number Theory 8 Journal de Théorie des Nombres de Bordeaux 6 Communications in Algebra 6 Mathematics of Computation 5 Journal of Algebra 5 Journal of Symbolic Computation 5 Journal of Algebra and its Applications 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Pure and Applied Algebra 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 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 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 1 Bulletin of the Australian Mathematical Society 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 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 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 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 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 Journal of Linear and Topological Algebra 1 Research in Number Theory all top 5 Cited in 14 Fields 137 Number theory (11-XX) 69 Algebraic geometry (14-XX) 23 Field theory and polynomials (12-XX) 14 Commutative algebra (13-XX) 11 Information and communication theory, circuits (94-XX) 9 Group theory and generalizations (20-XX) 3 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) Citations by Year