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...
- \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 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...
- 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...
- 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 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...
- 1 ( V i ) = U i {\displaystyle f^{-1}(V_{i})=U_{i}} is an open affine subscheme Spec Ai, and the restriction of f to Ui, which induces a ring homomorphism...
- of moduli of projective varieties. Hilbert schemes parametrize closed subschemes of P n {\displaystyle \mathbb {P} ^{n}} with prescribed Hilbert polynomial...