39 lines
1.0 KiB
Python
39 lines
1.0 KiB
Python
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class as_cech:
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def __init__(self, C, omega, f):
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self.curve = C
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n = C.height
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F = C.base_ring
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variable_names = 'x, y'
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for i in range(n):
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variable_names += ', z' + str(i)
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Rxyz = PolynomialRing(F, n+2, variable_names)
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x, y = Rxyz.gens()[:2]
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z = Rxyz.gens()[2:]
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RxyzQ = FractionField(Rxyz)
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self.omega0 = omega
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self.f = f
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def __repr__(self):
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return "( " + str(self.omega0)+", " + str(self.f) + " )"
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def __add__(self, other):
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C = self.curve
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omega = self.omega0
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f = self.f
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omega1 = other.omega0
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f1 = other.f
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return as_cech(C, omega + omega1, f+f1)
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def __sub__(self, other):
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C = self.curve
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omega = self.omega0
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f = self.f
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omega1 = other.omega0
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f1 = other.f
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return as_cech(C, omega - omega1, f - f1)
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def __rmul__(self, constant):
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C = self.curve
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omega = self.omega0
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f = self.f
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return as_form(C, constant*omega, constant*f)
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