A note on certain Tannakian group schemes

Show simple item record

dc.contributor.author Amrutiya, Sanjay
dc.date.accessioned 2018-11-16T06:05:53Z
dc.date.available 2018-11-16T06:05:53Z
dc.date.issued 2018-10
dc.identifier.citation Amrutiya, Sanjay, "A note on certain Tannakian group schemes", arXiv, Cornell University Library, DOI: arXiv:1810.10027, Oct. 2018. en_US
dc.identifier.uri http://arxiv.org/abs/1810.10027
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/3995
dc.description.abstract In this note, we prove that the F-fundamental group scheme is birational invariant for smooth projective varieties. We prove that the F-fundamental group scheme is naturally a quotient of the Nori fundamental group scheme. For elliptic curves, it turns out that the F-fundamental group scheme and the Nori fundamental group scheme coincides. We also consider an extension of the Nori fundamental group scheme in positive characteristic using semi-essentially finite vector bundles and prove that in this way, we do not get a non-trivial extension of the Nori fundamental group scheme for elliptic curves, unlike in characteristic zero.
dc.description.statementofresponsibility by Sanjay Amrutiya
dc.language.iso en en_US
dc.publisher Cornell University Library en_US
dc.subject Algebra en_US
dc.subject Geometry en_US
dc.subject Algebraic Geometry en_US
dc.title A note on certain Tannakian group schemes en_US
dc.type Preprint en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Digital Repository


Browse

My Account