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