Cousin problem for analytic hypersurface in complex space
Supervised by Ritwik Mukherjee (National Institute of Science Education and Research, Bhubaneswar), 2019
Work done during spring 2019 (January 01, 2019 to April 19, 2019). Requirement for NISER’s course M599.
Firstly, a proof of Dolbeault theorem was studied. Then the utility of Dolbeault-Čech isomorphism was illustrated by proving that every analytic hypersurface in $\mathbb{C}^n$ can be described as the zero-locus of an entire function.