3 papers
math.AC2023
Betti tables forcing failure of the Weak Lefschetz Property
Sean Grate, Hal Schenck
We study the Artinian reduction of a configuration of points , and the relation of the geometry of to Lefschetz properties of . Migliore initia…
math.AG2016
The method of shifted partial derivatives cannot separate the permanent from the determinant
Klim Efremenko, J. M. Landsberg, Hal Schenck +1
The method of shifted partial derivatives was used to prove a super-polynomial lower bound on the size of depth four circuits needed to compute the permanent. We show that this met…
math.AG2014
Logarithmic vector fields for quasihomogeneous curve configurations in P^2
Hal Schenck, Hiroaki Terao, Masahiko Yoshinaga
Let A be a union of smooth plane curves C_i, such that each singular point of A is quasihomogeneous. We prove that if C is a smooth curve such that each singular point of A U C is…