Index

_

_add() (thetAV.theta_point.AbelianVarietyPoint method) (thetAV.theta_point.KummerVarietyPoint method) (thetAV.theta_point.VarietyThetaStructurePoint method) _add_() (thetAV.theta_point.VarietyThetaStructurePoint method) _addition_formula() (thetAV.theta_null_point.Variety_ThetaStructure method) _char_to_idx() (thetAV.analytic_theta_point.AnalyticThetaNullPoint static method) _check() (thetAV.theta_point.KummerVarietyPoint method) _diff_add_PQ() (thetAV.theta_point.VarietyThetaStructurePoint method) _diff_add_PQfactor() (thetAV.theta_point.VarietyThetaStructurePoint method) _from_curve() (in module thetAV.constructor) _get_nonzero_coord() (thetAV.theta_point.VarietyThetaStructurePoint method) _idx_to_char() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) _latex_() (thetAV.theta_point.VarietyThetaStructurePoint method) _level (thetAV.theta_null_point.KummerVariety attribute)

_mult() (thetAV.theta_point.VarietyThetaStructurePoint method) _neg_() (thetAV.theta_point.KummerVarietyPoint method) (thetAV.theta_point.VarietyThetaStructurePoint method) _point (thetAV.analytic_theta_point.AnalyticThetaNullPoint attribute) (thetAV.theta_null_point.AbelianVariety_ThetaStructure attribute) (thetAV.theta_null_point.KummerVariety attribute) (thetAV.theta_null_point.Variety_ThetaStructure attribute) _point_homset() (thetAV.theta_null_point.Variety_ThetaStructure method) _repr_() (thetAV.theta_null_point.AbelianVariety_ThetaStructure method) (thetAV.theta_null_point.KummerVariety method) (thetAV.theta_point.VarietyThetaStructurePoint method) _rmul_() (thetAV.theta_point.VarietyThetaStructurePoint method) _root() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) _weierstrass_points() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) _with_theta_basis() (in module thetAV.constructor)

A

abelian_variety() (thetAV.analytic_theta_point.AnalyticThetaPoint method) (thetAV.theta_point.AbelianVarietyPoint method) AbelianVariety() (in module thetAV.constructor) AbelianVariety_ThetaStructure (class in thetAV.theta_null_point)

AbelianVarietyPoint (class in thetAV.theta_point) add_twotorsion_point() (thetAV.analytic_theta_point.AnalyticThetaPoint method) AnalyticThetaNullPoint (class in thetAV.analytic_theta_point) AnalyticThetaPoint (class in thetAV.analytic_theta_point)

B

base_extend() (thetAV.theta_null_point.Variety_ThetaStructure method)

C

change_ring() (thetAV.theta_null_point.AbelianVariety_ThetaStructure method) (thetAV.theta_null_point.KummerVariety method) (thetAV.theta_null_point.Variety_ThetaStructure method) choice_of_all_C_Cosset() (in module thetAV.morphisms_aux) choice_of_C_Cosset() (in module thetAV.morphisms_aux) clean_common() (thetAV.ep_elements.EpElement method)

compatible_lift() (thetAV.theta_point.VarietyThetaStructurePoint method) compatible_sqrt() (in module thetAV.morphisms_aux) constant_f() (in module thetAV.morphisms_aux) constant_f2_level2() (in module thetAV.morphisms_aux) create_conversions() (in module thetAV.tools) create_indexing() (in module thetAV.tools) curve() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method)

D

diff_add() (thetAV.theta_point.AbelianVarietyPoint method) (thetAV.theta_point.KummerVarietyPoint method) (thetAV.theta_point.VarietyThetaStructurePoint method)

diff_multadd() (thetAV.theta_point.VarietyThetaStructurePoint method) dimension() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) (thetAV.theta_null_point.Variety_ThetaStructure method)

E

e_2() (in module thetAV.eta_maps) e_star() (in module thetAV.eta_maps) EpElement (class in thetAV.ep_elements) equations() (thetAV.theta_null_point.AbelianVariety_ThetaStructure method) (thetAV.theta_null_point.KummerVariety method)

eta() (in module thetAV.eta_maps) eta_prime() (in module thetAV.eta_maps) eta_second() (in module thetAV.eta_maps) eval_car() (in module thetAV.tools) evaluate() (thetAV.ep_elements.EpElement method) evaluate_formal_points() (in module thetAV.tools)

F

from_algebraic() (thetAV.analytic_theta_point.AnalyticThetaPoint class method)

from_curve() (thetAV.theta_null_point.KummerVariety method) from_divisor() (thetAV.analytic_theta_point.AnalyticThetaPoint class method)

G

get_dual_quadruplet() (in module thetAV.tools)

I

idx() (in module thetAV.tools) IgusaTheorem() (in module thetAV.morphisms_aux)

is_equal() (thetAV.theta_point.VarietyThetaStructurePoint method) isogeny() (thetAV.theta_null_point.Variety_ThetaStructure method)

K

kummer_variety() (thetAV.theta_point.KummerVarietyPoint method)

KummerVariety (class in thetAV.theta_null_point) KummerVarietyPoint (class in thetAV.theta_point)

L

level() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) (thetAV.analytic_theta_point.AnalyticThetaPoint method) (thetAV.theta_null_point.Variety_ThetaStructure method)

Level2ThetaPointToMumford() (in module thetAV.morphisms_level2) Level4ThetaPointToMumford() (in module thetAV.morphisms_level4)

M

module thetAV.analytic_theta_point thetAV.aux_hyper thetAV.constructor thetAV.ep_elements thetAV.eta_maps thetAV.morphisms_aux thetAV.morphisms_level2 thetAV.morphisms_level4 thetAV.theta_null_point thetAV.theta_point thetAV.tools

MumfordToLevel2ThetaPoint() (in module thetAV.morphisms_level2) MumfordToLevel4ThetaPoint() (in module thetAV.morphisms_level4) MumfordToTheta_2_Generic() (in module thetAV.morphisms_level2) MumfordToTheta_4_Generic() (in module thetAV.morphisms_level4)

N

normalize_eta() (in module thetAV.eta_maps)

P

point() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) (thetAV.theta_null_point.Variety_ThetaStructure method)

prodYp_fromMumford_with2torsion() (in module thetAV.morphisms_aux)

R

rangeS() (in module thetAV.tools) reduce_sym() (in module thetAV.tools) reduce_symcouple() (in module thetAV.tools) reduce_symtwotorsion() (in module thetAV.tools) reduce_symtwotorsion_couple() (in module thetAV.tools)

reduce_twotorsion() (in module thetAV.tools) reduce_twotorsion_couple() (in module thetAV.tools) remove_h() (in module thetAV.aux_hyper) riemann_relation() (thetAV.theta_null_point.Variety_ThetaStructure method) rosenhain_model() (in module thetAV.aux_hyper)

S

scale() (thetAV.theta_point.VarietyThetaStructurePoint method) scheme() (thetAV.theta_point.VarietyThetaStructurePoint method)

sign_s_A() (in module thetAV.morphisms_aux) sign_theta_normalized() (in module thetAV.eta_maps)

T

tate_pairing() (thetAV.theta_point.VarietyThetaStructurePoint method) theta_null_point() (thetAV.theta_null_point.Variety_ThetaStructure method) ThetaToMumford_2_algclose() (in module thetAV.morphisms_level2) ThetaToMumford_2_Generic() (in module thetAV.morphisms_level2) ThetaToMumford_4_Generic() (in module thetAV.morphisms_level4) thetAV.analytic_theta_point module thetAV.aux_hyper module thetAV.constructor module thetAV.ep_elements module thetAV.eta_maps module

thetAV.morphisms_aux module thetAV.morphisms_level2 module thetAV.morphisms_level4 module thetAV.theta_null_point module thetAV.theta_point module thetAV.tools module three_way_add() (thetAV.theta_point.VarietyThetaStructurePoint method) to_algebraic() (thetAV.analytic_theta_point.AnalyticThetaNullPoint method) (thetAV.analytic_theta_point.AnalyticThetaPoint method) transformation() (in module thetAV.aux_hyper)

V

Variety_ThetaStructure (class in thetAV.theta_null_point)

VarietyThetaStructurePoint (class in thetAV.theta_point)

W

weil_pairing() (thetAV.theta_point.KummerVarietyPoint method) (thetAV.theta_point.VarietyThetaStructurePoint method)

with_theta_basis() (thetAV.theta_null_point.Variety_ThetaStructure method) (thetAV.theta_point.VarietyThetaStructurePoint method)

Y

Y_fromMumford_with2torsion() (in module thetAV.morphisms_aux) Ylm_fromTheta() (in module thetAV.morphisms_level4)

YS_fromMumford_Delta() (in module thetAV.morphisms_aux) YS_fromMumford_Generic() (in module thetAV.morphisms_aux)