some minor corrections

as_covers/as_cech_class.sage

@@ -13,7 +13,6 @@ class as_cech:
         self.omega0 = omega
         self.f = f
         self.omega8 = self.omega0 - self.f.diffn()
-        print(self.omega0.form, self.omega8.valuation())
         #if self.omega0.form not in Rxyz or self.omega8.valuation() < 0:
         #    raise ValueError('cech cocycle not regular')
 

superelliptic_drw/superelliptic_drw_auxilliaries.sage

@@ -40,7 +40,7 @@ def decomposition_omega0_hpdh(omega):
     #h = (omega - omega0)/(d((omega - omega0)/dh))
     
     print('decomposition_omega0_hpdh', omega, omega1, fct)
-    print('??', omega.verschiebung() == omega1.verschiebung())
+    print('??', omega.verschiebung() == omega1.verschiebung() + p*fct.teichmuller().diffn())
     return (omega1, fct)
 
 def decomposition_omega8_hpdh(omega, prec = 50):

superelliptic_drw/superelliptic_drw_cech.sage

@@ -63,6 +63,7 @@ class superelliptic_drw_cech:
         '''Given a regular cocycle of the form (V(omega) + dV(h), [f] + V(t), ...), where [f] = 0 in H^1(X, OX),
         find de Rham cocycle (xi0, f, xi8) such that (V(omega) + dV(h), [f] + V(t), ...) = p*(xi0, f, xi8).'''
         #
+        print('div by p', self)
         if info: print("Computing " + str(self) + " divided by p.")
         #
         C = self.curve
@@ -82,7 +83,7 @@ class superelliptic_drw_cech:
         # We replace omega by regular on U0
         omega = aux.omega0.omega
         aux.omega0.omega, fct = decomposition_omega0_hpdh(aux.omega0.omega)
-        #aux.omega0.h2 += fct^p #WRONG I think
+        aux.omega0.h2 += fct^p
         #
         if info: print("Computed decomposition_omega0_hpdh of self.omega0.omega.")
         #