@@ -340,10 +340,10 @@ def point(self, v, check=True):
340340
341341 INPUT:
342342
343- - ``v`` -- anything that defines a point.
343+ - ``v`` -- anything that defines a point
344344
345- - ``check`` -- boolean (optional, default= ``True``). Whether
346- to check the defining data for consistency.
345+ - ``check`` -- boolean (optional, default: ``True``); whether
346+ to check the defining data for consistency
347347
348348 OUTPUT:
349349
@@ -613,14 +613,14 @@ def hom(self, x, Y=None, check=True):
613613
614614 INPUT:
615615
616- - ``x`` -- anything hat determines a scheme morphism. If ``x``
617- is a scheme, try to determine a natural map to ``x``.
616+ - ``x`` -- anything that determines a scheme morphism; if
617+ ``x`` is a scheme, try to determine a natural map to ``x``
618618
619- - ``Y`` -- the codomain scheme (optional). If ``Y`` is not
620- given, try to determine ``Y`` from context.
619+ - ``Y`` -- the codomain scheme (optional); if ``Y`` is not
620+ given, try to determine ``Y`` from context
621621
622- - ``check`` -- boolean (optional, default= ``True``). Whether
623- to check the defining data for consistency.
622+ - ``check`` -- boolean (optional, default: ``True``); whether
623+ to check the defining data for consistency
624624
625625 OUTPUT:
626626
@@ -648,12 +648,12 @@ def _Hom_(self, Y, category=None, check=True):
648648
649649 INPUT:
650650
651- - ``Y`` -- a scheme. The codomain of the Hom-set.
651+ - ``Y`` -- a scheme; the codomain of the Hom-set
652652
653- - ``category`` -- a category (optional). The category of the
654- Hom-set.
653+ - ``category`` -- a category (optional); the category of the
654+ Hom-set
655655
656- - ``check`` -- boolean (optional, default= ``True``). Whether
656+ - ``check`` -- boolean (optional, default: ``True``); whether
657657 to check the defining data for consistency.
658658
659659 OUTPUT:
@@ -1071,11 +1071,7 @@ def coordinate_ring(self):
10711071
10721072 def is_noetherian (self ):
10731073 """
1074- Test whether ``self`` is Noetherian.
1075-
1076- OUTPUT:
1077-
1078- Boolean. Return ``True`` if this scheme is Noetherian.
1074+ Return ``True`` if ``self`` is Noetherian, ``False`` otherwise.
10791075
10801076 EXAMPLES::
10811077
@@ -1163,8 +1159,8 @@ def hom(self, x, Y=None):
11631159
11641160 INPUT:
11651161
1166- - ``x`` -- anything hat determines a scheme morphism. If ``x``
1167- is a scheme, try to determine a natural map to ``x``
1162+ - ``x`` -- anything that determines a scheme morphism; if
1163+ ``x`` is a scheme, try to determine a natural map to ``x``
11681164
11691165 - ``Y`` -- the codomain scheme (optional); if ``Y`` is not
11701166 given, try to determine ``Y`` from context
@@ -1210,4 +1206,3 @@ def hom(self, x, Y=None):
12101206 if Y is None and is_RingHomomorphism (x ):
12111207 Y = AffineScheme (x .domain ())
12121208 return Scheme .hom (self , x , Y )
1213-
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