Ronnie Sebastian

Description: CACAAG (Combinatorial Aspects of Commutative Algebra and Algebraic
Geometry) seminar

Speaker: Ronnie Sebastian

Date & Time : 26th February, 2pm

Venue : Ramanujan Hall

Abstract: This talk will be based on the following elementary and nice


Using some simple facts about projective space, cohomology, cohomology of
line bundles on projective space, we shall prove the following theorems:

1. Noether's theorem - Projective normality of the canonical embedding of
non-hyperelliptic curves.

2. Petri's -theorem - Let X be a smooth and projective curve of genus g
\geq 5. Assume that X carries a line bundle A of degree g-1 with h^0(A)=2.
Further assume that both A and \Omega_X\otimes A^* are generated by their
global sections. Then the homogeneous ideal of X in its canonical embedding
is generated by degree 2 elements.
Location: Ramanujan Hall, Department of Mathematics
Date: Monday, February 26, 2018
Time: 2:00pm IST
Access: Public