Syzygies and Gonality

Abstract: In this talk we will deal with recent results on the so-called property $N_p$ and $M_p.$ These concern the structure of free resolutions associated with a very ample line bundle on a projective variety. There are interesting conjectures and ideas related to the structure of free resolutions and the intrinsic geometry connected with properties $N_p$ and $M_p.$ A lot of attention has been paid of property $N_p,$ not so much for property $M_p.$ In this talk we will describe some new results about properties $M_p$ for an algebraic surface, some higher dimensional varieties, and even interesting everywhere non reduced schemes called carpets.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home