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 and the restrictions of projections to . Then the bundle of n-th order principal parts is Then and there is a natural exact sequence of vector bundles where is the sheaf of differential one-forms on X.
Attributes | Values |
---|---|
rdfs:label |
|
rdfs:comment |
|
dcterms:subject | |
Wikipage page ID |
|
Wikipage revision ID |
|
Link from a Wikipage to another Wikipage | |
sameAs | |
dbp:wikiPageUsesTemplate | |
has abstract |
|
prov:wasDerivedFrom | |
page length (characters) of wiki page |
|
foaf:isPrimaryTopicOf | |
is rdfs:seeAlso of | |
is Link from a Wikipage to another Wikipage of | |
is foaf:primaryTopic of |