Algebraic Geometry over Finite Fields
GPTKB entity
Statements (68)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
|
| gptkbp:application |
cryptographic protocols
error-correcting codes counting rational points |
| gptkbp:appliesTo |
finite fields
|
| gptkbp:fieldOfStudy |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic Geometry over Finite Fields
|
| gptkbp:notable_for |
gptkb:Riemann_hypothesis_for_curves_over_finite_fields
gptkb:Weil_conjectures Hasse-Weil bound Lang-Weil estimates |
| gptkbp:notableAchievement |
gptkb:Weil_conjectures
|
| gptkbp:notablePerson |
gptkb:André_Weil
gptkb:Alexander_Grothendieck gptkb:Pierre_Deligne |
| gptkbp:relatedTo |
coding theory
cryptography number theory |
| gptkbp:studies |
moduli spaces
motives varieties over finite fields rational points function fields algebraic curves over finite fields zeta functions of varieties algebraic surfaces over finite fields |
| gptkbp:uses |
gptkb:Frobenius_automorphism
gptkb:Frobenius_endomorphism gptkb:Tate_conjecture gptkb:Weil_conjectures gptkb:Weil_group gptkb:Weil_representation gptkb:Tate_module gptkb:étale_cohomology gptkb:Abelian_varieties gptkb:Frobenius_morphism gptkb:Lefschetz_trace_formula gptkb:Galois_groups gptkb:Weil_cohomology_theories gptkb:Drinfeld_modules gptkb:affine_varieties gptkb:Goppa_codes modular forms L-functions Weil pairing Weil restriction automorphic forms intersection theory scheme theory zeta functions algebraic cycles Galois representations cohomology theories motivic cohomology sheaf theory trace formula Jacobians of curves algebraic function fields projective varieties finite field extensions AG codes Tate modules Weil descent algebraic coding theory point counting algorithms zeta function of a variety |
| gptkbp:bfsParent |
gptkb:Graduate_Studies_in_Mathematics
|
| gptkbp:bfsLayer |
7
|