30 lines
945 B
Python
30 lines
945 B
Python
|
def patch(C):
|
||
|
|
if C.exponent != 2:
|
||
|
|
raise ValueError("Not implemented yet!")
|
||
|
|
Fxy, Rxy, x, y = C.fct_field
|
||
|
|
F = C.base_ring
|
||
|
|
Rx.<x> = PolynomialRing(F)
|
||
|
|
f = C.polynomial
|
||
|
|
g = C.genus()
|
||
|
|
f_star = Rx(x^(2*g+2)*f(1/x))
|
||
|
|
return superelliptic(f_star, 2)
|
||
|
|
|
||
|
|
def second_patch(argument):
|
||
|
|
C = argument.curve
|
||
|
|
C1 = patch(C)
|
||
|
|
Fxy, Rxy, x, y = C.fct_field
|
||
|
|
g = C.genus()
|
||
|
|
if isinstance(argument, superelliptic_function):
|
||
|
|
fct = Fxy(argument.function)
|
||
|
|
fct1 = Fxy(fct.subs({x : 1/x, y : y/x^(g+1)}))
|
||
|
|
return superelliptic_function(C1, fct1)
|
||
|
|
if isinstance(argument, superelliptic_form):
|
||
|
|
fct = Fxy(argument.form)
|
||
|
|
fct1 = Fxy(fct.subs({x : 1/x, y : y/x^(g+1)}))
|
||
|
|
fct1 *= -x^(-2)
|
||
|
|
return superelliptic_form(C1, fct1)
|
||
|
|
|
||
|
|
def lift_form_to_drw(omega):
|
||
|
|
A, B = regular_form(omega)
|
||
|
|
A, B = A.change_ring(QQ), B.change_ring(QQ)
|
||
|
|
print("%s dx + %s dy"%(A, B))
|