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Ritzenthaler, Christophe

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Author ID: ritzenthaler.christophe Recent zbMATH articles by "Ritzenthaler, Christophe"
Published as: Ritzenthaler, Christophe; Ritzenthaler, C.

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 177 times in 126 Documents Cited by Year
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
23
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.
17
2006
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
13
2009
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
11
2011
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
10
2016
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
8
2018
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
8
2014
Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028
Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey
8
2010
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
8
2013
Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313
Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe
7
2008
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.
7
2010
Distortion maps for supersingular genus two curves. Zbl 1232.11075
Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin
5
2009
Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068
Ritzenthaler, Christophe
5
2010
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
5
2004
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2013
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
4
2018
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
4
2008
On some questions of Serre on abelian threefolds. Zbl 1151.14321
Lachaud, Gilles; Ritzenthaler, Christophe
4
2008
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
3
2011
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
Optimal curves of genus 1, 2 and 3. Zbl 1283.11093
Ritzenthaler, Christophe
2
2011
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
2
2006
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
2
2020
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
2
2020
Reduction type of smooth plane quartics. Zbl 07419500
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
2
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
Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038
Ritzenthaler, Christophe
1
2004
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
1
2010
Reduction type of smooth plane quartics. Zbl 07419500
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
2
2021
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
2
2020
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
2
2020
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
8
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
4
2018
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
10
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
8
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
8
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
23
2012
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
11
2011
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
3
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
8
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.
7
2010
Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068
Ritzenthaler, Christophe
5
2010
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
1
2010
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
13
2009
Distortion maps for supersingular genus two curves. Zbl 1232.11075
Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin
5
2009
Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313
Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe
7
2008
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
4
2008
On some questions of Serre on abelian threefolds. Zbl 1151.14321
Lachaud, Gilles; Ritzenthaler, Christophe
4
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.
17
2006
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
2
2006
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
5
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 181 Authors

13 Ritzenthaler, Christophe
9 Lauter, Kristin Estella
9 Sijsling, Jeroen
8 Lercier, Reynald
7 Lorenzo García, Elisa
6 Streng, Marco
5 Howe, Everett W.
5 Olive, Marc
4 Ballet, Stéphane
4 Costello, Craig
4 Kılıçer, Pınar
4 Robert, Damien
4 Zaytsev, Alexey
3 Badr, Eslam E.
3 Bars Cortina, Francesc
3 Haloui, Safia
3 Hidalgo, Rubén Antonio
3 Karemaker, Valentijn
3 Lubicz, David
3 McGuire, Gary
3 Nart, Enric
3 Pieltant, Julia
3 Shaska, Tanush
2 Aubry, Yves
2 Bröker, Reinier
2 Desmorat, Rodrigue
2 Frey, Gerhard
2 Hisil, Huseyin
2 Humphries, Peter J.
2 Ionica, Sorina
2 Kolev, Boris
2 Lange, Tanja
2 Le, Duc-Phong
2 Li, Wanlin
2 Milio, Enea
2 Oyono, Roger
2 Pries, Rachel J.
2 Randriambololona, Hugues
2 Rolland, Robert
2 Rovetta, Florent
2 Sturmfels, Bernd
2 Tan, Chik How
2 Thomé, Emmanuel
2 Tian, Song
2 Vincent, Christelle
2 Voight, John Michael
2 Wu, Hongfeng
2 Yang, Tonghai
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 Artebani, Michela
1 Atighehchi, Kévin
1 Auffray, Nicolas
1 Ballico, Edoardo
1 Beauville, Arnaud
1 Berardini, Elena
1 Bernstein, Daniel Julius
1 Beshaj, Lubjana
1 Beuchat, Jean-Luc
1 Bonnecaze, Alexis
1 Bos, Joppe W.
1 Bose, Sownak
1 Bouyer, Florian
1 Breiding, Paul
1 Bremner, Murray R.
1 Brooks, Ernest Hunter
1 Bruce, Juliette
1 Carls, Robert
1 Caruso, Xavier
1 Castro, Francis Noel
1 Çelik, Türkü Özlüm
1 Chaumine, Jean
1 Costa, Edgar
1 Couveignes, Jean-Marc
1 de Jong, Robin
1 Deines-Schartz, Alyson
1 Desmorat, Boris
1 Detrey, Jérémie
1 Devin, Lucile
1 Diem, Claus
1 El Mrabet, Nadia
1 Elkies, Noam David
1 Enge, Andreas
1 Estibals, Nicolas
1 Feng, Rongquan
1 Fouotsa, Emmanuel
1 Fuertes, Yolanda
1 Fukasawa, Satoru
1 Ghanmi, Allal
1 González-Diez, Gabino
1 González, Oscar E.
1 Guàrdia, Jordi
1 Guest, Scott
1 Guillevic, Aurore
1 Gundry, James
...and 81 more Authors
all top 5

Cited in 51 Serials

12 Mathematics of Computation
8 Journal of Number Theory
8 Finite Fields and their Applications
7 LMS Journal of Computation and Mathematics
5 Proceedings of the American Mathematical Society
5 Journal of Cryptology
5 International Journal of Number Theory
5 Research in Number Theory
3 Journal of Algebra
3 Journal of Pure and Applied Algebra
3 Designs, Codes and Cryptography
3 Applicable Algebra in Engineering, Communication and Computing
2 Acta Arithmetica
2 Archiv der Mathematik
2 Compositio Mathematica
2 Michigan Mathematical Journal
2 Journal of Symbolic Computation
2 Journal of Complexity
2 Experimental Mathematics
2 Mathematics in Computer Science
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Physics
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 the Mathematical Society of Japan
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 Tatra Mountains Mathematical Publications
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 The Ramanujan Journal
1 Soft Computing
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Revista Matemática Complutense
1 Journal of High Energy Physics
1 Nihonkai Mathematical Journal
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Mathematics of Communications
1 Asian-European Journal of Mathematics
1 Cryptography and Communications

Citations by Year