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Ritzenthaler, Christophe

Author ID: ritzenthaler.christophe Recent zbMATH articles by "Ritzenthaler, Christophe"
Published as: Ritzenthaler, Christophe; Ritzenthaler, C.
Homepage: https://perso.univ-rennes1.fr/christophe.ritzenthaler/

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 264 times in 183 Documents Cited by Year
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
33
2012
The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576
Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A.
23
2006
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
22
2011
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
16
2009
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen
14
2014
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
14
2018
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
13
2016
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
12
2013
Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028
Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey
11
2010
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002
Serre, Jean-Pierre
11
2020
On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129
Ballet, S.; Ritzenthaler, C.; Rolland, R.
10
2010
Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313
Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe
9
2008
On some questions of Serre on abelian threefolds. Zbl 1151.14321
Lachaud, Gilles; Ritzenthaler, Christophe
8
2008
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
7
2004
Distortion maps for supersingular genus two curves. Zbl 1232.11075
Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin
7
2009
Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068
Ritzenthaler, Christophe
7
2010
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2020
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2013
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
5
2008
On the Prym variety of genus 3 covers of genus 1 curves. (Sur la variété de Prym des revêtements de genre 3 des courbes de genre 1.) Zbl 1471.14068
Ritzenthaler, Christophe; Romagny, Matthieu
5
2018
Reduction type of smooth plane quartics. Zbl 1494.13006
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
4
2021
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
4
2011
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
3
2006
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
3
2014
An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038
Lehavi, D.; Ritzenthaler, C.
3
2007
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
3
2008
Spanning the isogeny class of a power of an elliptic curve. Zbl 1486.14046
Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien
3
2022
Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\). Zbl 1517.11063
Gélin, Alexandre; Howe, Everett; Ritzenthaler, Christophe
3
2019
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
2
2010
Optimal curves of genus 1, 2 and 3. Zbl 1283.11093
Ritzenthaler, Christophe
2
2011
Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038
Ritzenthaler, Christophe
1
2004
Complete addition laws on abelian varieties. Zbl 1316.11052
Arene, Christophe; Kohel, David; Ritzenthaler, Christophe
1
2012
Arithmetic, geometry, and coding theory: homage to Gilles Lachaud. Zbl 1501.01008
Ghorpade, Sudhir R.; Ritzenthaler, Christophe; Rodier, François; Tsfasman, Michael A.
1
2021
Stable models of plane quartics with hyperelliptic reduction. Zbl 1519.11035
Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe
1
2021
Automorphisms of modular curves \(X(n)\) in characterictic \(p\). (Automorphismes des courbes modulaires \(X(n)\) en caractéristique \(p\).) Zbl 1052.11043
Ritzenthaler, Christophe
1
2002
Decomposing Jacobians via Galois covers. Zbl 1525.14036
Lombardo, Davide; García, Elisa Lorenzo; Ritzenthaler, Christophe; Sijsling, Jeroen
1
2023
Distributions of traces of Frobenius for smooth plane curves over finite fields. Zbl 1431.14047
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin
1
2019
A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves. Zbl 1374.14026
Nart, Enric; Ritzenthaler, Christophe
1
2017
Decomposing Jacobians via Galois covers. Zbl 1525.14036
Lombardo, Davide; García, Elisa Lorenzo; Ritzenthaler, Christophe; Sijsling, Jeroen
1
2023
Spanning the isogeny class of a power of an elliptic curve. Zbl 1486.14046
Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien
3
2022
Reduction type of smooth plane quartics. Zbl 1494.13006
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
4
2021
Arithmetic, geometry, and coding theory: homage to Gilles Lachaud. Zbl 1501.01008
Ghorpade, Sudhir R.; Ritzenthaler, Christophe; Rodier, François; Tsfasman, Michael A.
1
2021
Stable models of plane quartics with hyperelliptic reduction. Zbl 1519.11035
Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe
1
2021
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002
Serre, Jean-Pierre
11
2020
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2020
Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\). Zbl 1517.11063
Gélin, Alexandre; Howe, Everett; Ritzenthaler, Christophe
3
2019
Distributions of traces of Frobenius for smooth plane curves over finite fields. Zbl 1431.14047
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin
1
2019
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
14
2018
On the Prym variety of genus 3 covers of genus 1 curves. (Sur la variété de Prym des revêtements de genre 3 des courbes de genre 1.) Zbl 1471.14068
Ritzenthaler, Christophe; Romagny, Matthieu
5
2018
A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves. Zbl 1374.14026
Nart, Enric; Ritzenthaler, Christophe
1
2017
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
13
2016
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen
14
2014
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
3
2014
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
12
2013
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2013
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
33
2012
Complete addition laws on abelian varieties. Zbl 1316.11052
Arene, Christophe; Kohel, David; Ritzenthaler, Christophe
1
2012
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
22
2011
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
4
2011
Optimal curves of genus 1, 2 and 3. Zbl 1283.11093
Ritzenthaler, Christophe
2
2011
Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028
Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey
11
2010
On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129
Ballet, S.; Ritzenthaler, C.; Rolland, R.
10
2010
Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068
Ritzenthaler, Christophe
7
2010
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
2
2010
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
16
2009
Distortion maps for supersingular genus two curves. Zbl 1232.11075
Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin
7
2009
Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313
Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe
9
2008
On some questions of Serre on abelian threefolds. Zbl 1151.14321
Lachaud, Gilles; Ritzenthaler, Christophe
8
2008
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
5
2008
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
3
2008
An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038
Lehavi, D.; Ritzenthaler, C.
3
2007
The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576
Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A.
23
2006
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
3
2006
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
7
2004
Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038
Ritzenthaler, Christophe
1
2004
Automorphisms of modular curves \(X(n)\) in characterictic \(p\). (Automorphismes des courbes modulaires \(X(n)\) en caractéristique \(p\).) Zbl 1052.11043
Ritzenthaler, Christophe
1
2002
all top 5

Cited by 249 Authors

19 Ritzenthaler, Christophe
13 Sijsling, Jeroen
11 Lorenzo García, Elisa
10 Lauter, Kristin Estella
10 Lercier, Reynald
8 Howe, Everett W.
7 Ballet, Stéphane
7 Streng, Marco
6 Kılıçer, Pınar
6 Robert, Damien
5 Olive, Marc
4 Costello, Craig
4 Ionica, Sorina
4 Li, Wanlin
4 Lubicz, David
4 Rolland, Robert
4 Wu, Hongfeng
4 Zaytsev, Alexey
3 Badr, Eslam E.
3 Bars Cortina, Francesc
3 Haloui, Safia
3 Hidalgo, Rubén Antonio
3 Karemaker, Valentijn
3 Lange, Tanja
3 Le, Duc-Phong
3 McGuire, Gary
3 Nart, Enric
3 Pieltant, Julia
3 Pries, Rachel J.
3 Shaska, Tanush
3 Sutherland, Andrew V.
3 Tan, Chik How
3 Tian, Song
2 Aubry, Yves
2 Bernstein, Daniel Julius
2 Bonnecaze, Alexis
2 Bouw, Irene I.
2 Bröker, Reinier
2 Costa, Edgar
2 Desmorat, Rodrigue
2 Devin, Lucile
2 Dina, Bogdan Adrian
2 El Mrabet, Nadia
2 Feng, Rongquan
2 Frey, Gerhard
2 Ghorpade, Sudhir R.
2 Guillevic, Aurore
2 Hisil, Huseyin
2 Humphries, Peter J.
2 Khuri-Makdisi, Kamal
2 Kohel, David R.
2 Kolev, Boris
2 Kudo, Momonari
2 Lachaud, Gilles
2 Li, Liangze
2 Lombardo, Davide M.
2 Milio, Enea
2 Naehrig, Michael
2 Ohashi, Ryo
2 Oyono, Roger
2 Randriambololona, Hugues
2 Rovetta, Florent
2 Somoza, Anna
2 Sturmfels, Bernd
2 Takashima, Katsuyuki
2 Thomé, Emmanuel
2 Vincent, Christelle
2 Voight, John Michael
2 Yang, Tonghai
2 Zhang, Fan
1 Achter, Jeffrey D.
1 Agostini, Daniele
1 Alcazar, Juan Gerardo
1 Aleshnikov, S. I.
1 Aranha, Diego F.
1 Arias-de-Reyna, Sara
1 Armana, Cécile
1 Arora, Sonny
1 Artebani, Michela
1 Arul, Vishal
1 Asgarli, Shamil
1 Atighehchi, Kévin
1 Auffray, Nicolas
1 Bailleul, Alexandre
1 Ballico, Edoardo
1 Baudru, Nicolas
1 Bazan, Erick Rodriguez
1 Beauville, Arnaud
1 Berardini, Elena
1 Bergström, Jonas
1 Beshaj, Lubjana
1 Beuchat, Jean-Luc
1 Booher, Jeremy
1 Bos, Joppe W.
1 Bose, Sownak
1 Bouyer, Florian
1 Breiding, Paul
1 Bremner, Murray R.
1 Brooks, Ernest Hunter
1 Bruce, Juliette
...and 149 more Authors
all top 5

Cited in 61 Serials

15 Mathematics of Computation
11 Research in Number Theory
9 Finite Fields and their Applications
8 Journal of Number Theory
7 LMS Journal of Computation and Mathematics
6 Proceedings of the American Mathematical Society
6 Journal of Cryptology
5 International Journal of Number Theory
4 Journal of Symbolic Computation
4 Designs, Codes and Cryptography
3 Journal of Algebra
3 Journal of the London Mathematical Society. Second Series
3 Journal of Pure and Applied Algebra
3 Applicable Algebra in Engineering, Communication and Computing
3 Experimental Mathematics
3 The Ramanujan Journal
3 Mathematics in Computer Science
2 Acta Arithmetica
2 Archiv der Mathematik
2 Compositio Mathematica
2 Michigan Mathematical Journal
2 Journal of Complexity
2 Advances in Mathematics of Communications
2 Algebra & Number Theory
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Russian Mathematical Surveys
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Kodai Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Computer Aided Geometric Design
1 Discrete & Computational Geometry
1 Journal of Elasticity
1 Expositiones Mathematicae
1 Tatra Mountains Mathematical Publications
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 Soft Computing
1 Journal of Combinatorial Optimization
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Revista Matemática Complutense
1 Journal of High Energy Physics
1 Journal of Nonlinear Mathematical Physics
1 Nihonkai Mathematical Journal
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Asian-European Journal of Mathematics
1 Cryptography and Communications
1 SIAM Journal on Applied Algebra and Geometry
1 Prikladnaya Diskretnaya Matematika

Citations by Year