All Theses and Dissertations

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Date of Award

Spring 2020

Advisor

Dr. Raziuddin Siddique

Committee Member 1

Dr. Muhammad Mobeen Munir, Associate Professor, University of Lahore, Lahore

Committee Member 2

Dr. Waseem Khalid, Associate Professor, University of Lahore, Pakpattan Campus

Committee Member 3

Dr. Hisham Bin Zubair, Chairperson, Department of Mathematical Sciences, Institute of Business Administration

Project Type

Thesis

Access Type

Restricted Access

Document Version

Final

Pages

vi, 65

Subjects

Algebraic Geometry

Abstract

In this thesis, we show that the Deligne-Beilinson cohomology of dual numbers essentially reduces to the Deligne-Beilinson cohomology of non-infinitesimal case showing that the infinitesimal regulator can not be retrieved from analogue of Beilinson’s regulator for dual numbers. We also show the splitting of continuous group cohomology of GLn(C(")) under the action of C and that the infinitesimal regulator corresponds to the weight space.

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