Bundle of principal parts
id:
bundle-of-principal-parts-255-17205745
title:
Bundle of principal parts
text:
In algebraic geometry, given a line bundle L on a smooth variety X, the bundle of n-th order principal parts of L is a vector bundle of rank that, roughly, parametrizes n-th order Taylor expansions of sections of L. Precisely, let I be the ideal sheaf defining the diagonal embedding X ↪ X × X and p , q : V → X the restrictions of projections X × X → X to V ⊂ X × X . Then the bundle of n-th order principal parts is Then P 0 = L and there is a natural exact sequence of vector bundles where Ω X is
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Bundle_of_principal_parts
date created:
date modified:
2024-04-19T19:41:27Z
main entity:
{"identifier":"Q48972825","url":"https://www.wikidata.org/entity/Q48972825"}
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13
integrity:
13