Abstract for the talk on 15.02.2018 (10:00 h)
Seminar on Nonlinear AlgebraEuisung Park (Korea University, Seoul)
Regularity and Multisecant Lines
In their beautiful paper, Gruson, Lazarsfeld and Peskine prove that if C ⊂ Pr is a projective curve of degree d ≥ r + 2 then its Castelnuovo-Mumford regularity reg(C) is at most d − r + 2 and the equality is attained exactly when C admits a (d−r +2)-secant line. In this talk I will speak about a few generalizations of Gruson-Lazarsfeld-Peskine’s work.