Research

Mathematical Sciences

Title :

Projective closure of affine monomial curves

Area of research :

Mathematical Sciences

Focus area :

Mathematics

Principal Investigator :

Dr. Indranath Sengupta, Professor, Indian Institute of Technology (IIT), Gandhinagar

Timeline Start Year :

2023

Contact info :

Details

Executive Summary :

The project titled "Projective Closure of Affine Monomial Curves" aims to understand the geometric properties of the projective closure of affine monomial curves. The study will use homological and combinatorial techniques. The project is based on extensive research on numerical semigroup properties and the PI's experience in this area. Initial research on three monomial curve classes, Bresinsky, Arslan, and Backelin, revealed that common behavior among affine curves does not guarantee projective closures.

Co-PI:

Prof. Tanya Kaushal Srivastava, Indian Institute of Technology (IIT), Gandhinagar

Total Budget (INR):

28,20,388

Organizations involved