2024-01-13 17:11:29 +01:00
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def teichmuller(self, n):
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AS = self.curve
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return as_witt([self] + n*[0*AS.x])
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2024-01-13 21:18:03 +01:00
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def Vd(self, n, m = 1):
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'''Return V^m([f] d[x]) in W_n Omega'''
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AS = self.curve
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if m == 0:
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return as_witt_form([self] + n*[0*AS.x], (n+1)*[0*AS.x])
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return as_witt_form(m*[0*AS.x] + [self] + (n-m)*[0*AS.x], (n+1)*[0*AS.x])
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def dV(self, n, m = 1):
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'''Return dV^m([f] d[x]) in W_n Omega'''
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AS = self.curve
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return as_witt_form((n+1)*[0*AS.x], m*[0*AS.x] + [self] + (n-m)*[0*AS.x])
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as_function.teichmuller = teichmuller
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as_function.Vd = Vd
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as_function.dV = dV
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