-
isomorphic to the set of
closed subschemes of Pn×S{\displaystyle \mathbb {P} ^{n}\times S} that are flat over S. The
closed subschemes of Pn×S{\displaystyle \mathbb...
-
spaces is open (closed, respectively), i.e. if open
subschemes of Y are
mapped to open
subschemes of X (and
similarly for closed). For example, finitely...
-
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...
-
compact open
subscheme (e.g., open
affine subscheme)
under f is compact. It is not
enough that Y
admits a
covering by
compact open
subschemes whose pre-images...
- has a
covering by
affine open
subschemes Vi = Spec Ai such that f−1(Vi) has a
finite covering by
affine open
subschemes Uij = Spec Bij with Bij an Ai-algebra...
- \ \{{\text{closed
subschemes of }}X\times _{k}T{\text{ flat over }}T,{\text{ with
Hilbert polynomial }}P.\}} The
closed subscheme of X × H X P {\displaystyle...
-
integral subschemes of X are in one-to-one
correspondence with the scheme-theoretic
points of X
under the map that, in one direction,
takes each
subscheme to...
-
deformations of Y in X;
there is a
natural bijection between the set of
closed subschemes of Y ×k D, flat over the ring D of dual
numbers and
having X as the special...
- extension), used
heavily in
cryptography Normal bundle Normal cone, of a
subscheme in
algebraic geometry Normal coordinates, in
differential geometry, local...
- of
vertex operators on the
cohomology of the
Hilbert schemes of
finite subschemes of a
complex algebraic surface, and (in
joint work with
Fishel and Teleman)...
