Regularity and Multisecant Lines

  • Euisung Park (Korea University, Seoul)
E1 05 (Leibniz-Saal)


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.

Mirke Olschewski

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