On curves of almost minimal degree

Time: 9:30 -- 11: 00, October 15, 2025

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: In algebraic geometry, the rational normal curve is among the most thoroughly studied objects. Its minimal free resolution is completely understood, and its quadratic defining equations are also well known. Now, let $C \subset \mathbb{P}^r$ be a curve obtained as a one-point isomorphic linear projection of a rational normal curve. In this talk, I will present results concerning the minimal free resolution and the quadratic defining equations of $C$. In particular, I will focus on how the relative position between the projection center and the rational normal curve determines these properties of $C$. This talk is partially based on joint work with Wanseok Lee and on joint work with Jaewoo Jung and Hyunsuk Moon.