Research

Mathematical Sciences

Title :

Symbolic powers of ideals and set-theoretic complete intersection

Area of Research :

Mathematical Sciences

Focus Area :

Algebraic Geometry and Commutative Algebra

Principal Investigator :

Prof. Clare V. DCruz, Chennai Mathematical Institute, Tamil Nadu

Contact info :

Timeline Start Year :

2024

Timeline End Year :

2027

Total Budget (INR):

6,60,000

Details

Executive Summary :

Aim of the project is to study the Cohen-Macaulayness of the blowup algebras of symbolic powers of ideals. It also address Hartshorne's conjectures which states that every irreducible closed curve in a projective 3-space is a set-theoretic complete intersection. This is a hard problem which is open in general.

Organizations involved