Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Cubic forms having matrix factorizations by Hessian matrices
HTML articles powered by AMS MathViewer

by Yeongrak Kim PDF
Proc. Amer. Math. Soc. 148 (2020), 2799-2809 Request permission


Using a part of XJC-correspondence by Pirio and Russo, we classify cubic forms $f$ whose Hessian matrices induce matrix factorizations of themselves. When it defines a reduced hypersurface, it satisfies the “secant–singularity” correspondence, that is, it coincides with the secant locus of its singular locus. In particular, when $f$ is irreducible, its singular locus is one of the four Severi varieties.
Similar Articles
Additional Information
  • Yeongrak Kim
  • Affiliation: F. Mathematik und Informatik, Universität des Saarlandes, Campus E2.4, D-66123 Saarbrücken, Germany
  • MR Author ID: 1155792
  • Email:
  • Received by editor(s): May 29, 2019
  • Received by editor(s) in revised form: October 14, 2019
  • Published electronically: March 25, 2020
  • Additional Notes: This work was supported by Project I.6 of SFB-TRR 195 “Symbolic Tools in Mathematics and their Application” of the German Research Foundation (DFG)
  • Communicated by: Jerzy Weyman
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 2799-2809
  • MSC (2010): Primary 13H10; Secondary 14E07, 17C20, 14J70
  • DOI:
  • MathSciNet review: 4099769