25 lines
667 B
Python
25 lines
667 B
Python
def frobenius_kernel(C, prec=50):
|
|
M = C.frobenius_matrix(prec=prec).transpose()
|
|
K = M.kernel().basis()
|
|
g = C.genus()
|
|
result = []
|
|
basis = C.cohomology_of_structure_sheaf_basis()
|
|
for v in K:
|
|
coh = 0*C.x
|
|
for i in range(g):
|
|
coh += v[i] * basis[i]
|
|
result += [coh]
|
|
return result
|
|
|
|
def cartier_kernel(C, prec=50):
|
|
M = C.cartier_matrix(prec=prec).transpose()
|
|
K = M.kernel().basis()
|
|
g = C.genus()
|
|
result = []
|
|
basis = C.holomorphic_differentials_basis()
|
|
for v in K:
|
|
coh = 0*C.dx
|
|
for i in range(g):
|
|
coh += v[i] * basis[i]
|
|
result += [coh]
|
|
return result |