Resolution of the symmetric algebra of an (n+1)-generated ideal of depth n

Abstract : We provide a locally free resolution of the symmetric algebra of the ideal of an (n + 1)-generated ideal sheaf of depth n over a regular quasi-projective variety. The resolution is given in terms of the resolution of the ideal itself and of a Buchsbaum-Rim complex associated to an explicit map.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01787553
Contributor : Rémi Bignalet-Cazalet <>
Submitted on : Monday, April 1, 2019 - 9:58:38 PM
Last modification on : Friday, April 5, 2019 - 1:32:54 AM
Long-term archiving on : Tuesday, July 2, 2019 - 6:04:21 PM

File

resSymAlg.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01787553, version 2
  • ARXIV : 1805.05599

Collections

Citation

Rémi Bignalet-Cazalet. Resolution of the symmetric algebra of an (n+1)-generated ideal of depth n. 2019. ⟨hal-01787553v2⟩

Share

Metrics

Record views

15

Files downloads

19