dc.contributor.author |
Miret, Josep M. (Josep Maria) |
dc.contributor.author |
Pujolàs Boix, Jordi |
dc.contributor.author |
Thériault, Nicolas |
dc.date |
2015-11-09T13:24:46Z |
dc.date |
2014 |
dc.date |
10000-01-01 |
dc.identifier |
1930-5346 |
dc.identifier |
http://hdl.handle.net/10459.1/48930 |
dc.identifier |
https://doi.org/10.3934/amc.2014.8.375 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/48930 |
dc.description |
By reversing reduction in divisor class arithmetic we provide efficient trisection algorithms for Jacobians of supersingular genus 2 curves over finite fields of characteristic 2. With our technique we obtain new results for these Jacobians: we show how to find their 3-torsion subgroup, we prove there is none with 3-torsion subgroup of rank 3 and we prove their the maximal 3-power order subgroup is isomorphic to either Z/3^vZ or (Z/3^{v/2}Z)^2 or (Z/3^{v/4}Z)^4, where v is the 3-adic valuation v3(#Jac(C)(F2^m}). Ours are the first trisection formulae available in literature. |
dc.language |
eng |
dc.publisher |
American Institute of Mathematical Sciences (AIMS) |
dc.relation |
Reproducció del document publicat a https://doi.org/10.3934/amc.2014.8.375 |
dc.relation |
Advances in Mathematics of Communications, 2014, vol. 8, núm. 4, 375-387 |
dc.rights |
(c) American Institute of Mathematical Sciences (AIMS), 2014 |
dc.rights |
info:eu-repo/semantics/restrictedAccess |
dc.subject |
Hyperelliptic curve |
dc.subject |
Supersingular |
dc.subject |
Genus 2 |
dc.title |
Trisection for supersingular genur 2 curves in characteristic 2 |
dc.type |
article |
dc.type |
publishedVersion |