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## Kani, Ernst J.

Compute Distance To:
 Author ID: kani.ernst-j Published as: Kani, Ernst; Kani, Ernst J.
 Documents Indexed: 36 Publications since 1980, including 1 Book Reviewing Activity: 1 Review
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#### Co-Authors

 26 single-authored 5 Frey, Gerhard 1 Chou, Kuo-Ming James 1 Cojocaru, Alina Carmen 1 Heilbronn, Hans Arnold 1 Rosen, Michael I. 1 Schanz, Wolfgang 1 Smith, Robert Arnold 1 Völklein, Helmut
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#### Serials

 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 3 Collectanea Mathematica 3 Manuscripta Mathematica 2 Rocky Mountain Journal of Mathematics 2 Annales des Sciences Mathématiques du Québec 1 Acta Arithmetica 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Mathematische Nachrichten 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of the Ramanujan Mathematical Society 1 Designs, Codes and Cryptography 1 International Journal of Number Theory 1 Canadian Mathematical Society Series of Monographs and Advanced Texts 1 Annales Mathématiques du Québec
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#### Fields

 27 Algebraic geometry (14-XX) 20 Number theory (11-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 201 times in 160 Documents Cited by Year
Curves of genus 2 covering elliptic curves and an arithmetical application. Zbl 0757.14015
Frey, Gerhard; Kani, Ernst
1991
Elliptic curves on abelian surfaces. Zbl 0821.14023
Kani, Ernst
1994
The Galois-module structure of the space of holomorphic differentials of a curve. Zbl 0606.14027
Kani, Ernst
1986
The number of curves of genus two with elliptic differentials. Zbl 0867.11045
Kani, Ernst
1997
Bounds on the number of non-rational subfields of a function field. Zbl 0615.12017
Kani, Ernst
1986
Hurwitz spaces of genus 2 covers of an elliptic curve. Zbl 1077.14529
Kani, Ernst
2003
Curves with infinite $$K$$-rational geometric fundamental group. Zbl 0978.14021
Frey, Gerhard; Kani, Ernst; Völklein, Helmut
1999
On Castelnuovo’s equivalence defect. Zbl 0536.14016
Kani, Ernst
1984
Idoneal numbers and some generalizations. Zbl 1253.11049
Kani, Ernst
2011
Products of CM elliptic curves. Zbl 1237.11027
Kani, Ernst
2011
Binary theta series and modular forms with complex multiplication. Zbl 1300.11038
Kani, Ernst
2014
Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms. Zbl 1356.11030
Kani, Ernst
2014
The modular degree and the congruence number of a weight 2 cusp form. Zbl 1108.11042
Cojocaru, Alina Carmen; Kani, Ernst
2004
The space of binary theta series. Zbl 1300.11037
Kani, Ernst
2012
Idempotent relations among arithmetic invariants attached to number fields and algebraic varieties. Zbl 0853.14011
Kani, Ernst; Rosen, Michael
1994
The moduli spaces of Jacobians isomorphic to a product of two elliptic curves. Zbl 1353.14040
Kani, Ernst
2016
Curves of genus 2 with elliptic differentials and associated Hurwitz spaces. Zbl 1198.14024
Frey, Gerhard; Kani, Ernst
2009
Diagonal quotient surfaces. Zbl 0898.14017
Kani, Ernst; Schanz, Wolfgang
1997
The number of genus 2 covers of an elliptic curve. Zbl 1105.14041
Kani, Ernst
2006
The collected papers of Hans Arnold Heilbronn. Zbl 0652.01038
Heilbronn, H. A.; Kani, Ernst (ed.); Smith, Robert A. (ed.)
1988
Elliptic subcovers of hyperelliptic curves. Zbl 1388.14089
Kani, Ernst
2017
Normal forms of hyperelliptic curves of genus 3. Zbl 1345.14037
Frey, Gerhard; Kani, Ernst
2015
Correspondences on hyperelliptic curves and applications to the discrete logarithm. Zbl 1345.14036
Frey, Gerhard; Kani, Ernst
2012
The existence of curves of genus two with elliptic differentials. Zbl 0873.11039
Kani, Ernst
1997
Potential theory on curves. Zbl 0724.31006
Kani, Ernst
1989
Unramified doube covers of hyperelliptic Klein surfaces. Zbl 0632.14026
Kani, Ernst J.
1987
Weil heights, Néron pairings and v-metrics on curves. Zbl 0594.14023
Kani, Ernst
1985
Eine Verallgemeinerung des Satzes von Castelnuovo-Severi. Zbl 0472.14017
Kani, Ernst
1980
Nonstandard diophantine geometry. Zbl 0454.14010
Kani, Ernst
1980
Elliptic subcovers of a curve of genus 2. II: The refined Humbert invariant. Zbl 1451.14065
Kani, Ernst
2018
Simple geometrically split abelian surfaces over finite fields. Zbl 1309.11052
Chou, Kuo-Ming James; Kani, Ernst
2014
Endomorphisms of Jacobians of modular curves. Zbl 1179.11015
Kani, Ernst
2008
Elliptic subcovers of a curve of genus 2. II: The refined Humbert invariant. Zbl 1451.14065
Kani, Ernst
2018
Elliptic subcovers of hyperelliptic curves. Zbl 1388.14089
Kani, Ernst
2017
The moduli spaces of Jacobians isomorphic to a product of two elliptic curves. Zbl 1353.14040
Kani, Ernst
2016
Normal forms of hyperelliptic curves of genus 3. Zbl 1345.14037
Frey, Gerhard; Kani, Ernst
2015
Binary theta series and modular forms with complex multiplication. Zbl 1300.11038
Kani, Ernst
2014
Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms. Zbl 1356.11030
Kani, Ernst
2014
Simple geometrically split abelian surfaces over finite fields. Zbl 1309.11052
Chou, Kuo-Ming James; Kani, Ernst
2014
The space of binary theta series. Zbl 1300.11037
Kani, Ernst
2012
Correspondences on hyperelliptic curves and applications to the discrete logarithm. Zbl 1345.14036
Frey, Gerhard; Kani, Ernst
2012
Idoneal numbers and some generalizations. Zbl 1253.11049
Kani, Ernst
2011
Products of CM elliptic curves. Zbl 1237.11027
Kani, Ernst
2011
Curves of genus 2 with elliptic differentials and associated Hurwitz spaces. Zbl 1198.14024
Frey, Gerhard; Kani, Ernst
2009
Endomorphisms of Jacobians of modular curves. Zbl 1179.11015
Kani, Ernst
2008
The number of genus 2 covers of an elliptic curve. Zbl 1105.14041
Kani, Ernst
2006
The modular degree and the congruence number of a weight 2 cusp form. Zbl 1108.11042
Cojocaru, Alina Carmen; Kani, Ernst
2004
Hurwitz spaces of genus 2 covers of an elliptic curve. Zbl 1077.14529
Kani, Ernst
2003
Curves with infinite $$K$$-rational geometric fundamental group. Zbl 0978.14021
Frey, Gerhard; Kani, Ernst; Völklein, Helmut
1999
The number of curves of genus two with elliptic differentials. Zbl 0867.11045
Kani, Ernst
1997
Diagonal quotient surfaces. Zbl 0898.14017
Kani, Ernst; Schanz, Wolfgang
1997
The existence of curves of genus two with elliptic differentials. Zbl 0873.11039
Kani, Ernst
1997
Elliptic curves on abelian surfaces. Zbl 0821.14023
Kani, Ernst
1994
Idempotent relations among arithmetic invariants attached to number fields and algebraic varieties. Zbl 0853.14011
Kani, Ernst; Rosen, Michael
1994
Curves of genus 2 covering elliptic curves and an arithmetical application. Zbl 0757.14015
Frey, Gerhard; Kani, Ernst
1991
Potential theory on curves. Zbl 0724.31006
Kani, Ernst
1989
The collected papers of Hans Arnold Heilbronn. Zbl 0652.01038
Heilbronn, H. A.; Kani, Ernst (ed.); Smith, Robert A. (ed.)
1988
Unramified doube covers of hyperelliptic Klein surfaces. Zbl 0632.14026
Kani, Ernst J.
1987
The Galois-module structure of the space of holomorphic differentials of a curve. Zbl 0606.14027
Kani, Ernst
1986
Bounds on the number of non-rational subfields of a function field. Zbl 0615.12017
Kani, Ernst
1986
Weil heights, Néron pairings and v-metrics on curves. Zbl 0594.14023
Kani, Ernst
1985
On Castelnuovo’s equivalence defect. Zbl 0536.14016
Kani, Ernst
1984
Eine Verallgemeinerung des Satzes von Castelnuovo-Severi. Zbl 0472.14017
Kani, Ernst
1980
Nonstandard diophantine geometry. Zbl 0454.14010
Kani, Ernst
1980
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#### Cited by 217 Authors

 12 Kani, Ernst J. 5 Kontogeorgis, Aristides I. 4 Ballico, Edoardo 4 Frey, Gerhard 4 Howe, Everett W. 4 Shaska, Tanush 3 Auffarth, Robert Frederick II 3 Guerra, Lucio 3 Holden, Joshua Brandon 3 Rotger, Victor 2 Achter, Jeffrey D. 2 Böckle, Gebhard 2 Bujalance, Emilio 2 Casazza, Daniele 2 Castryck, Wouter 2 Chamizo Lorente, Fernando 2 Chinburg, Ted 2 Cirre, Francisco-Javier 2 Cornelissen, Gunther 2 Gamboa Mutuberria, José Manuel 2 Harbater, David 2 Hubert, Pascal 2 Keem, Changho 2 Kumar, Abhinav 2 Lelièvre, Samuel 2 Madan, Manohar L. 2 Marseglia, Stefano 2 Matheus, Carlos 2 Mednykh, Il’ya Aleksandrovich 2 Möller, Martin 2 Murty, Maruti Ram 2 Ogasawara, Takeshi 2 Poonen, Bjorn 2 Satoh, Takakazu 2 Villa-Salvador, Gabriel Daniel 2 Walton, Laura 2 Xue, Jiangwei 2 Yu, Chia-Fu 1 Accola, Robert D. M. 1 Agostini, Daniele 1 Ahlgren, Scott D. 1 Aprodu, Marian 1 Artebani, Michela 1 Axelsson, Reynir 1 Bainbridge, Matt 1 Bandman, Tatiana M. 1 Bellaïche, Joël 1 Beorchia, Valentina 1 Biswas, Indranil 1 Bleher, Frauke M. 1 Boggi, Marco 1 Bolognese, Barbara 1 Borne, Niels 1 Boucksom, Sébastien 1 Boxall, John L. 1 Butzer, Paul Leo 1 Candelori, Luca 1 Česnavičius, Kęstutis 1 Chan, Heng Huat 1 Cools, Filip 1 Cove, Henry C. D. 1 Cremona, John E. 1 Darmon, Henri René 1 Daub, Michael 1 Decru, Thomas 1 Del Centina, Andrea 1 Dethloff, Gerd-Eberhard 1 Diem, Claus 1 Dummigan, Neil 1 Eberhart, Ryan 1 Ehlen, Stephan Jakob 1 Faber, Xander 1 Farhadi, Majid 1 Farwa, Shabieh 1 Favre, Charles 1 Fischbacher-Weitz, Helena 1 Foote, Richard M. 1 Forni, Giovanni 1 Franciosi, Marco 1 Freeman, David Mandell 1 Fuertes, Yolanda 1 Ghiloni, Riccardo 1 Gimigliano, Alessandro 1 Goswick, Lee M. 1 Grant, David M. 1 Halberstadt, Emmanuel 1 Hayashi, Taro 1 Hertel, Eike 1 Jacobson, Michael John jun. 1 Jarvis, Tyler J. 1 Jonsson, Mattias 1 Jordan, Bruce W. 1 Joyner, David 1 Kádár, Zoltán 1 Kani, E. 1 Karanikolopoulos, Sotiris 1 Kato, Fumiharu 1 Kaufmann, Ralph M. 1 Keeton, Allan G. 1 Kendirli, Bariṣ ...and 117 more Authors
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#### Cited in 71 Serials

 19 Journal of Number Theory 10 Manuscripta Mathematica 7 Journal of Algebra 6 Journal of Pure and Applied Algebra 5 Mathematics of Computation 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 4 Inventiones Mathematicae 4 Mathematische Zeitschrift 4 Transactions of the American Mathematical Society 4 Forum Mathematicum 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Compositio Mathematica 3 Results in Mathematics 3 Finite Fields and their Applications 2 Acta Arithmetica 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Collectanea Mathematica 2 Duke Mathematical Journal 2 Discrete & Computational Geometry 2 Experimental Mathematics 2 Journal of Algebraic Geometry 2 Journal de Théorie des Nombres de Bordeaux 2 The Ramanujan Journal 2 Research in Number Theory 1 Communications in Algebra 1 Letters in Mathematical Physics 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Journal of Symbolic Computation 1 Science in China. Series A 1 International Journal of Mathematics 1 Designs, Codes and Cryptography 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Conformal Geometry and Dynamics 1 Geometry & Topology 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Mathematical Cryptology 1 Journal of Modern Dynamics 1 Science China. Mathematics 1 Forum of Mathematics, Sigma 1 Annales Mathématiques du Québec 1 Research in the Mathematical Sciences 1 European Journal of Mathematics
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#### Cited in 23 Fields

 113 Algebraic geometry (14-XX) 83 Number theory (11-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Functions of a complex variable (30-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Information and communication theory, circuits (94-XX) 4 Commutative algebra (13-XX) 4 $$K$$-theory (19-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)