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searching for Smooth scheme 9 found (25 total)

Virtual fundamental class (1,533 words) [view diff] exact match in snippet view article find links to article

suppose we have an embedding of a scheme X {\displaystyle X} into a smooth scheme Y {\displaystyle Y} i : X ↪ Y {\displaystyle i:X\hookrightarrow Y} and

A¹ homotopy theory (2,762 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A} the ( p , q ) {\displaystyle (p,q)} -motivic cohomology of a smooth scheme X {\displaystyle X} is given by the sheaf hypercohomology groups H p

P-adic Hodge theory (2,317 words) [view diff] exact match in snippet view article find links to article

comparison isomorphisms in arithmetic and complex geometry: If X is a proper smooth scheme over C, there is a classical comparison isomorphism between the algebraic

Riemann–Roch-type theorem (663 words) [view diff] exact match in snippet view article find links to article

closed regular embedding X ↪ P {\displaystyle X\hookrightarrow P} into a smooth scheme P followed by a smooth morphism P → Y {\displaystyle P\to Y} , then

Serre duality (3,295 words) [view diff] exact match in snippet view article find links to article

generally, if X is a Cohen–Macaulay subscheme of codimension r in a smooth scheme Y over k, then the dualizing sheaf can be described as an Ext sheaf:

Smoothness (3,930 words) [view diff] exact match in snippet view article find links to article

and straight-line distance between two points on a wave-like function Smooth scheme – type of schemePages displaying wikidata descriptions as a fallback

K-theory (4,401 words) [view diff] exact match in snippet view article find links to article

same construction can be applied to algebraic vector bundles over a smooth scheme. But, there is an alternative construction for any Noetherian scheme

Presheaf with transfers (2,676 words) [view diff] exact match in snippet view article find links to article

presheaves with transfers are given by representable functors. Given a smooth scheme X {\displaystyle X} there is a presheaf with transfers Z t r ( X ) {\displaystyle

Weyl algebra (4,164 words) [view diff] exact match in snippet view article find links to article

D_{\mathbb {A} _{R}^{n}/R}} . More generally, let X {\displaystyle X} be a smooth scheme over a ring R {\displaystyle R} . Locally, X → R {\displaystyle X\to