Definition of Subscheme. Meaning of Subscheme. Synonyms of Subscheme

- {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...
- Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general projective scheme), refining...
- of moduli of projective varieties. Hilbert schemes parametrize closed subschemes of P n {\displaystyle \mathbb {P} ^{n}} with prescribed Hilbert polynomial...
- isomorphism from Z onto the closed subscheme defined by J. A particular case of this correspondence is the unique reduced subscheme Xred of X having the same underlying...
- 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...
- {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...
- 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...
- 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...
- 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...