Cohomology for Picard-Vessiot theory

E-resources

Peer reviewed

Cohomology for Picard-Vessiot theory

Tsui, Man Cheung; Wang, Yidi

Journal of algebra, 11/2024, Volume: 658

Journal Article

We introduce a cohomology theory that classifies differential objects that arise from Picard-Vessiot theory, using differential Hopf-Galois descent. To do this, we provide an explicit description of Picard-Vessiot theory in terms of differential torsors. We then use this cohomology to give a bijective correspondence between differential objects and differential torsors. As an application, we prove a universal bound for the differential splitting degree of differential central simple algebras.

Keep searching

Author

Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.

Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system

Source: Personal bibliographies and: SICRIS

Upload image

Shelf entry

Adding material to shelf was successful.

Adding material to shelf failed.

It was not necessary to add the material to the shelf.

Permalink

E-mail

Impact factor

Select the library membership card:

DRS, in which the journal is indexed

Citations

Theme