Name
Abstract | ||
|---|---|---|
We determine the isogeny classes of supersingular abelian threefolds over F"2"^"n containing the Jacobian of a genus 3 curve. In particular, we prove that for even n6 there always exist a maximal and a minimal curves of genus 3 over F"2"^"n. The methods provide an explicit construction of supersingular curves of genus 3 with Jacobian in a prescribed isogeny class. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ffa.2007.09.006 | Finite Fields and Their Applications |
Keywords | Field | DocType |
supersingular abelian threefold,explicit construction,jacobian,. curve,supersingular abelian threefolds,isogeny class,minimal curve,max- imal curves.,supersingular curve,prescribed isogeny class,number theory,algebraic geometry,curve | Abelian group,Supersingular elliptic curve,Combinatorics,Algebra,Jacobian matrix and determinant,Isogeny,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 3 | 1071-5797 |
Citations | PageRank | References |
2 | 1.01 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enric Nart | 1 | 25 | 5.92 |
| Christophe Ritzenthaler | 2 | 27 | 5.87 |