- {X}}} is also a
closed immersion.
subscheme A
subscheme,
without qualifier, of X is a
closed subscheme of an open
subscheme of X.
surface An
algebraic variety...
-
closed subschemes of
degree 2 in a
smooth complex variety Y. Such a
subscheme consists of
either two
distinct complex points of Y, or else a
subscheme isomorphic...
- \mathbb {A} ^{1}} then
there are no sections. This
implies for any open
subscheme U ⊂ A 1 {\displaystyle U\subset \mathbb {A} ^{1}}
containing 0 {\displaystyle...
- in
scheme theory,
where a quasi-projective
scheme is a
locally closed subscheme of some
projective space. An
affine space is a Zariski-open
subset of...
- {O}}_{X}} -modules is quasi-coherent if and only if over each open
affine subscheme U = Spec A {\displaystyle U=\operatorname {Spec} A} the restriction...
- W ] {\displaystyle [X:Y:Z:W]} on P3, the
twisted cubic is the
closed subscheme defined by the
vanishing of the
three homogeneous polynomials F 0 = X...
- In
algebraic geometry, the
normal cone of a
subscheme of a
scheme is a
scheme analogous to the
normal bundle or
tubular neighborhood in
differential geometry...
- as a
finite union of
locally closed subschemes i Y : Y → X {\displaystyle i_{Y}:Y\to X} such that for each
subscheme Y {\displaystyle Y} of the covering...
- morphism, a
morphism of
schemes such that the pre-image of an open
affine subscheme is
affine Affine space, an
abstract structure that
generalises the affine-geometric...
-
functions on X, then we say that the
closed subscheme {r1=0, ..., rd=0} ⊂ X is a
complete intersection subscheme of X.
Being a
regular sequence may depend...
