Jordi Guàrdia

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All published works

Action	Title	Year	Authors
+ PDF Chat	Polynomial Factorization Over Henselian Fields	2024	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Adrien Poteaux Joaquím Roé Martin Weimann
+ PDF Chat	Valuations with an infinite limit-depth	2023	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Joaquím Roé
+ PDF Chat	Valuative trees over valued fields	2022	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Joaquím Roé
+ PDF Chat	Square-free OM computation of global integral bases	2022	Jordi Guàrdia Enric Nart
+	Square-free OM computation of global integral bases	2022	Jordi Guàrdia Enric Nart
+	Valuations with infinite limit-depth	2022	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Joaquím Roé
+	Okutsu frames of irreducible polynomials over henselian fields	2021	Maria Alberich‐Carramiñana Jordi Guàrdia Joaquím Roé Enric Nart
+	Okutsu frames of irreducible polynomials over henselian fields	2021	Maria Alberich‐Carramiñana Jordi Guàrdia Joaquím Roé Enric Nart
+	Valuative trees over valued fields	2021	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Joaquím Roé
+ PDF Chat	Of limit key polynomials	2020	Maria Alberich‐Carramiñana Alberto F. Boix J.A. Fernandez Jordi Guàrdia Enric Nart Joaquím Roé
+	Invariants of limit key polynomials	2020	Maria Alberich‐Carramiñana Alberto F. Boix J.A. Fernandez Jordi Guàrdia Enric Nart Joaquím Roé
+	Invariants of limit key polynomials	2020	Maria Alberich‐Carramiñana Alberto F. Boix Julio M. Fernández Jordi Guàrdia Enric Nart Joaquím Roé
+	Trends in Number Theory	2015	Fernando Chamizo Jordi Guàrdia Antonio Rojas‐León José M. Tornero
+	Residual ideals of MacLane valuations	2015	J.A. Fernandez Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Genetics of polynomials over local fields	2015	Jordi Guàrdia Enric Nart
+	Trends in number theory : Fifth Spanish Meeting on Number Theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain	2015	Jornadas de Teoría de Números Fernando Chamizo Jordi Guàrdia Antonio León José M. Tornero
+	Local-to-global computation of integral bases without a previous factorization of the discriminant	2015	Jordi Guàrdia Enric Nart
+ PDF Chat	Geometric and arithmetic relations concerning origami	2015	Jordi Guàrdia Eulàlia Tramuns
+	Higher Newton polygons and integral bases	2014	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Geometric and arithmetic relations concerning origami	2014	Jordi Guàrdia Eulàlia Tramuns
+	Residual ideals of MacLane valuations	2013	J.A. Fernandez Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Genetics of polynomials over local fields	2013	Jordi Guàrdia Enric Nart
+	Residual ideals of MacLane valuations	2013	Julio M. Fernández Jordi Guàrdia Jesús Sanz Montes Enric Nart
+ PDF Chat	A New Computational Approach to Ideal Theory in Number Fields	2012	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Single-factor lifting and factorization of polynomials over local fields	2012	Jordi Guàrdia Enric Nart Sebastian Pauli
+	Newton polygons of higher order in algebraic number theory	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+ PDF Chat	On the Torelli problem and Jacobian Nullwerte in genus three	2011	Jordi Guàrdia
+	Single-factor lifting and factorization of polynomials over local fields	2011	Jordi Guàrdia Enric Nart Sebastian Pauli
+ PDF Chat	Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	A new computational approach to ideal theory in number fields	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Arithmetic in big number fields: the '+Ideals' package	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+ PDF Chat	Okutsu invariants and Newton polygons	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	A new computational approach to ideal theory in number fields	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Okutsu invariants and Newton polygons	2009	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Higher Newton polygons and integral bases	2009	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	On the Torelli problem and Jacobian Nullwerte in genus three	2009	Jordi Guàrdia
+	Okutsu invariants and Newton polygons	2009	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+ PDF Chat	Genus two curves with quaternionic multiplication and modular Jacobian	2008	Josep González Jordi Guàrdia
+	Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields	2008	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+	Newton polygons of higher order in algebraic number theory	2008	Jordi Guàrdia Jesús Sanz Montes Enric Nart
+ PDF Chat	Thetanullwerte: From periods to good equations	2007	Jordi Guàrdia
+ PDF Chat	Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves	2007	Jordi Guàrdia
+	Hyperbolic uniformization of Fermat curves	2006	Pilar Báyer Jordi Guàrdia
+	Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves	2006	Jordi Guàrdia
+ PDF Chat	On equations defining fake elliptic curves	2005	Pilar Báyer Jordi Guàrdia
+ PDF Chat	Abelian surfaces of GL<sub>2</sub>-type as Jacobians of curves	2005	Josep González Jordi Guàrdia Víctor Rotger
+	Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication	2004	Jordi Guàrdia Eugenia Rita Marimón Torres Montserrat Vela
+ PDF Chat	Jacobi Thetanullwerte, periods of elliptic curves and minimal equations	2004	Jordi Guàrdia
+ PDF Chat	A family of arithmetic surfaces of genus 3	2003	Jordi Guàrdia
+	Jacobian nullwerte and algebraic equations	2002	Jordi Guàrdia
+	Computations on Modular Jacobian Surfaces	2002	Enrique González–Jiménez Josep González Jordi Guàrdia
+	EXPLICIT GEOMETRY ON A FAMILY OF CURVES OF GENUS 3	2001	Jordi Guàrdia
+ PDF Chat	Arakelov computations in genus $3$ curves	2001	Jordi Guàrdia
+	A fundamental domain for the Fermat curves and their quotients.	2000	Jordi Guàrdia
+	Analytic invariants in Arakelov theory for curves	1999	Jordi Guàrdia

Common Coauthors

Coauthor	Papers Together
Enric Nart	33
Jesús Sanz Montes	16
Maria Alberich‐Carramiñana	10
Joaquím Roé	10
J.A. Fernandez	4
Alberto F. Boix	3
Josep González	3
José M. Tornero	2
Julio M. Fernández	2
Fernando Chamizo	2
Eulàlia Tramuns	2
Pilar Báyer	2
Sebastian Pauli	2
Antonio León	1
Adrien Poteaux	1
Enrique González–Jiménez	1
Montserrat Vela	1
Antonio Rojas‐León	1
Martin Weimann	1
Jornadas de Teoría de Números	1
Eugenia Rita Marimón Torres	1
Víctor Rotger	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A construction for absolute values in polynomial rings	1936	Saunders MacLane	15
+	Newton polygons of higher order in algebraic number theory	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart	14
+ PDF Chat	Okutsu invariants and Newton polygons	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart	11
+	Newtonsche Polygone in der Theorie der algebraischen K�rper	1928	�ystein Ore	10
+	Extension d’une valuation	2007	Michel Vaquié	9
+ PDF Chat	Zur Theorie der Algebraischen Körper	1923	Öystein Ore	9
+ PDF Chat	A New Computational Approach to Ideal Theory in Number Fields	2012	Jordi Guàrdia Jesús Sanz Montes Enric Nart	8
+	A construction for prime ideals as absolute values of an algebraic field	1936	Saunders Mac Lane	8
+ PDF Chat	Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart	7
+ PDF Chat	Key polynomials over valued fields	2019	Enric Nart	6
+	Newton polygons of higher order in algebraic number theory	2008	Jordi Guàrdia Jesús Sanz Montes Enric Nart	6
+	On the Complexity of the Montes Ideal Factorization Algorithm	2010	David Ford Olga Erzsébet Veres	6
+	Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields	2008	Jordi Guàrdia Jesús Sanz Montes Enric Nart	6
+	Jacobian nullwerte and algebraic equations	2002	Jordi Guàrdia	6
+ PDF Chat	MacLane–Vaquié chains of valuations on a polynomial ring	2021	Enric Nart	6
+ PDF Chat	Geometry of Algebraic Curves	1985	Enrico Arbarello Maurizio Cornalba P. A. Griffiths Joseph Harris	5
+	Genetics of polynomials over local fields	2015	Jordi Guàrdia Enric Nart	5
+ PDF Chat	Construction of integral basis, I	1982	Kōsaku Okutsu	5
+	The construction of maximal orders over a Dedekind domain	1987	David Ford	5
+	Single-factor lifting and factorization of polynomials over local fields	2012	Jordi Guàrdia Enric Nart Sebastian Pauli	5
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	4
+	Valuations in algebraic field extensions	2007	Francisco Javier Herrera Govantes M. A. Olalla Acosta Mark Spivakovsky	4
+	Key polynomials and minimal pairs	2019	Josnei Novacoski	4
+ PDF Chat	Key polynomials and pseudo-convergent sequences	2017	Josnei Novacoski Mark Spivakovsky	4
+	On Jacobi's Derivative Formula and its Generalizations	1980	Jun-ichi Igusa	4
+	A new computational approach to ideal theory in number fields	2010	Jordi Guàrdia Jesús Sanz Montes Enric Nart	4
+ PDF Chat	A Construction for Absolute Values in Polynomial Rings	1936	Saunders MacLane	4
+	Polígonos de Newton de orden superior y aplicaciones aritméticas	1999	Jesús Sanz Montes	4
+ PDF Chat	Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves	2007	Jordi Guàrdia	4
+	Higher Newton polygons and integral bases	2014	Jordi Guàrdia Jesús Sanz Montes Enric Nart	4
+	Famille admissible de valuations et défaut d'une extension	2007	Michel Vaquié	3
+ PDF Chat	Value groups, residue fields, and bad places of rational function fields	2004	Franz‐Viktor Kuhlmann	3
+ PDF Chat	A generalization of Rosenhain's normal form for hyperelliptic curves with an application	1996	Koichi Takase	3
+ PDF Chat	On the discriminant of a hyperelliptic curve	1994	Paul Lockhart	3
+	Calculus on Arithmetic Surfaces	1984	Герд Фалтингс	3
+	Factoring Polynomials over Local Fields II	2010	Sebastian Pauli	3
+	Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics	2002	Florian Heß	3
+	Abelian Varieties with Complex Multiplication and Modular Functions	1998	Goro Shimura	3
+	Higher Newton polygons and integral bases	2009	Jordi Guàrdia Jesús Sanz Montes Enric Nart	3
+ PDF Chat	Modular curves of genus 2	2002	Enrique González–Jiménez Josep González	3
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	3
+	On the derivatives of theta functions and modular forms	1977	Goro Shimura	3
+	Local computation of differents and discriminants	2013	Enric Nart	2
+	Construction and estimation of bases in function fields	1991	Wolfgang M. Schmidt	2
+	Elliptic curves: function theory, geometry, arithmetic	1998	H. P. McKean Victor H. Moll	2
+ PDF Chat	Weitere Untersuchungen zur Theorie der Algebraischen Körper	1925	Öystein Ore	2
+ PDF Chat	On the factors of the jacobian variety of a modular function field	1973	Goro Shimura	2
+	Quaternion Orders, Quadratic Forms, and Shimura Curves	2012	Montserrat Alsina Pilar Báyer	2
+	Computing Local Integral Closures	2001	Emmanuel Hallouin	2
+	Complexity of OM factorizations of polynomials over local fields	2012	Jens-Dietrich Bauch Enric Nart Hayden D. Stainsby	2