Principal parts of a vector bundle on projective line and the fractional derivative

Hafiz Syed HUSAIN; Mariam SULTANA

Article Details

Principal parts of a vector bundle on projective line and the fractional derivative

Authors:

Hafiz Syed HUSAIN | Mariam SULTANA

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2697-2706

Document Type:

Article

Publication Date:

11/2019

Document Language:

English

Document ID (Org No.):

2000745491

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

This work is an exposition on computational aspects of principal parts of a vector bundle on projective line over the field of characteristic zero. Principal parts help determine the possibility of algebraically formalizing infinitesimal-neighborhoods of subschemes inside some ambient scheme. The purpose of this study is to look for the possibility of formalizing the algebraic geometric interpretation of fractional derivative. For the latter, this study follows theapproachproposedbyVasilyTarasov. The difference is that Tarasov proposeda geometric interpretation using finite order jet bundles from differential geometry. Present study proposes finite-order principal parts of the structure-sheaf of real projective line as its formal algebraic geometric parallel.

Article Details

Principal parts of a vector bundle on projective line and the fractional derivative

Authors: Hafiz Syed HUSAIN | Mariam SULTANA

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2697-2706

Document Type: Article

Publication Date: 11/2019

Document Language: English

Document ID (Org No.): 2000745491

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Hafiz Syed HUSAIN | Mariam SULTANA

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2697-2706

Document Type:

Article

Publication Date:

11/2019

Document Language:

English

Document ID (Org No.):

2000745491

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098