Kedlaya's algorithm

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkbp:appliesTo gptkb:hyperelliptic_curves
finite fields
gptkbp:citation Kiran S. Kedlaya, Counting points on hyperelliptic curves using Monsky–Washnitzer cohomology, Duke Math. J. 97 (2001), no. 1, 1–57.
gptkbp:complexity polynomial time in genus and log of field size
gptkbp:computes zeta function of hyperelliptic curves over finite fields
gptkbp:field gptkb:mathematics
number theory
arithmetic geometry
https://www.w3.org/2000/01/rdf-schema#label Kedlaya's algorithm
gptkbp:improves gptkb:Schoof's_algorithm_(for_certain_cases)
gptkbp:introduced gptkb:Kiran_S._Kedlaya
gptkbp:introducedIn 2001
gptkbp:publishedIn gptkb:Duke_Mathematical_Journal
gptkbp:relatedTo gptkb:Weil_conjectures
cryptography
point counting
gptkbp:uses gptkb:p-adic_cohomology
gptkbp:bfsParent gptkb:Kiran_Kedlaya
gptkbp:bfsLayer 5