Supersingular Curves of Genus 2 over Finite Fields of Characteristic 2

1992 ◽  
Vol 159 (1) ◽  
pp. 73-81 ◽  
Author(s):  
Gerard Van Der Geer ◽  
Marcel Van Der Vlugt
2007 ◽  
Vol 59 (2) ◽  
pp. 372-392 ◽  
Author(s):  
Daniel Maisner ◽  
Enric Nart

AbstractWe determine which isogeny classes of supersingular abelian surfaces over a finite field k of characteristic 2 contain jacobians. We deal with this problem in a direct way by computing explicitly the zeta function of all supersingular curves of genus 2. Our procedure is constructive, so that we are able to exhibit curves with prescribed zeta function and find formulas for the number of curves, up to k-isomorphism, leading to the same zeta function.


2012 ◽  
Vol 18 (4) ◽  
pp. 800-813 ◽  
Author(s):  
Peipei Wang ◽  
Xiwang Cao ◽  
Rongquan Feng

2002 ◽  
Vol 9 (5) ◽  
pp. 639-650 ◽  
Author(s):  
Jasper Scholten ◽  
Hui June Zhu

2018 ◽  
Vol 193 ◽  
pp. 386-394 ◽  
Author(s):  
Rajendra K. Sharma ◽  
Ambrish Awasthi ◽  
Anju Gupta

2017 ◽  
Vol 11 (1) ◽  
pp. 39-76 ◽  
Author(s):  
Jeffrey Achter ◽  
Everett Howe

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