×

zbMATH — the first resource for mathematics

Ritzenthaler, Christophe

Compute Distance To:
Author ID: ritzenthaler.christophe Recent zbMATH articles by "Ritzenthaler, Christophe"
Published as: Ritzenthaler, C.; Ritzenthaler, Christophe
Documents Indexed: 39 Publications since 2002, including 3 Books
Reviewing Activity: 100 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

28 Publications have been cited 150 times in 113 Documents Cited by Year
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
20
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
11
2009
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
10
2011
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
9
2016
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
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
6
2014
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
6
2013
Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028
Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey
6
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.
6
2010
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
5
2018
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
4
2010
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023
Nart, Enric; Ritzenthaler, Christophe
4
2008
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
4
2004
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
3
2014
On some questions of Serre on abelian threefolds. Zbl 1151.14321
Lachaud, Gilles; Ritzenthaler, Christophe
3
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
Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019
Nart, Enric; Ritzenthaler, Christophe
3
2006
On the Prym variety of genus 3 covers of genus 1 curves. Zbl 07003743
Ritzenthaler, Christophe; Romagny, Matthieu
1
2018
Optimal curves of genus 1, 2 and 3. Zbl 1283.11093
Ritzenthaler, Christophe
1
2011
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
1
2011
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036
Nart, Enric; Ritzenthaler, Christophe
1
2010
On the ring of invariants of ordinary quartic curves in characteristic 2. Zbl 1105.14081
Müller, Jürgen; Ritzenthaler, Christophe
1
2006
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 \(p\). Zbl 1052.11043
Ritzenthaler, Christophe
1
2002
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
5
2018
On the Prym variety of genus 3 covers of genus 1 curves. Zbl 07003743
Ritzenthaler, Christophe; Romagny, Matthieu
1
2018
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
9
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
6
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
6
2013
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
20
2012
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
10
2011
Optimal curves of genus 1, 2 and 3. Zbl 1283.11093
Ritzenthaler, Christophe
1
2011
Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027
Beauville, Arnaud; Ritzenthaler, Christophe
1
2011
Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028
Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey
6
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.
6
2010
Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068
Ritzenthaler, Christophe
4
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
11
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
3
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
3
2006
On the ring of invariants of ordinary quartic curves in characteristic 2. Zbl 1105.14081
Müller, Jürgen; Ritzenthaler, Christophe
1
2006
Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331
Ritzenthaler, Christophe
4
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 \(p\). Zbl 1052.11043
Ritzenthaler, Christophe
1
2002
all top 5

Cited by 171 Authors

14 Ritzenthaler, Christophe
9 Lauter, Kristin Estella
8 Lercier, Reynald
6 Sijsling, Jeroen
6 Streng, Marco
5 Howe, Everett W.
5 Lorenzo García, Elisa
4 Costello, Craig
4 Kılıçer, Pınar
4 Nart, Enric
4 Olive, Marc
4 Zaytsev, Alexey
3 Ballet, Stéphane
3 Haloui, Safia
3 Lubicz, David
3 McGuire, Gary
3 Robert, Damien
3 Shaska, Tanush
2 Aubry, Yves
2 Badr, Eslam E.
2 Bars Cortina, Francesc
2 Bröker, Reinier
2 Frey, Gerhard
2 Hidalgo, Rubén Antonio
2 Hisil, Huseyin
2 Humphries, Peter J.
2 Ionica, Sorina
2 Karemaker, Valentijn
2 Kolev, Boris
2 Lange, Tanja
2 Le, Duc-Phong
2 Li, Wanlin
2 Milio, Enea
2 Oyono, Roger
2 Pieltant, Julia
2 Pries, Rachel J.
2 Rovetta, Florent
2 Tan, Chik How
2 Thomé, Emmanuel
2 Wu, Hongfeng
2 Yang, Tonghai
1 Achter, Jeffrey D.
1 Alekseenko, Ekaterina
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 Couveignes, Jean-Marc
1 de Jong, Robin
1 Deines-Schartz, Alyson
1 Desmorat, Boris
1 Desmorat, Rodrigue
1 Detrey, Jérémie
1 Diem, Claus
1 El Mrabet, Nadia
1 Elkies, Noam David
1 Elsenhans, Andreas-Stephan
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 Gundry, James
1 Han, Jingxuan
1 Hauenstein, Jonathan D.
1 He, Xiaoyang
1 He, Yang-Hui Evariste
1 Herbaut, Fabien
1 Hu, Jiaxiong
1 Ichikawa, Takashi
1 Intissar, Ahmed
1 Jacobson, Michael John jun.
1 Jetchev, Dimitar P.
1 Kališnik Verovšek, Sara
...and 71 more Authors
all top 5

Cited in 44 Serials

9 Journal of Number Theory
8 Mathematics of Computation
8 Finite Fields and their Applications
7 LMS Journal of Computation and Mathematics
5 Proceedings of the American Mathematical Society
4 Journal of Algebra
4 Journal of Symbolic Computation
4 Journal of Cryptology
4 Research in Number Theory
3 Journal of Pure and Applied Algebra
3 Designs, Codes and Cryptography
3 Applicable Algebra in Engineering, Communication and Computing
3 International Journal of Number Theory
2 Acta Arithmetica
2 Archiv der Mathematik
2 Compositio Mathematica
2 Michigan Mathematical Journal
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 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Functiones et Approximatio. Commentarii Mathematici
1 Mathematische Annalen
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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