An improved multiplicity conjecture for codimension 3 Gorenstein algebras

Authors

Juan Migliore, University of Notre Dame
Uwe Nagel, University of Kentucky
Fabrizio Zanello, Michigan TechFollow

Document Type

Article

Publication Date

1-28-2008

Abstract

The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen–Macaulay standard graded algebra with certain extremal graded Betti numbers in its minimal free resolution. In the case of level algebras of codimension three, Zanello has proposed a stronger conjecture. We prove this conjecture in the Gorenstein case.

Publisher's Statement

Copyright 2008 Taylor & Francis. Publisher’s version of record: https://doi.org/10.1080/00927870701665214

Publication Title

Communications in Algebra

Recommended Citation

Migliore, J., Nagel, U., & Zanello, F. (2008). An improved multiplicity conjecture for codimension 3 Gorenstein algebras. Communications in Algebra, 36(1), 112-119. http://doi.org/10.1080/00927870701665214
Retrieved from: https://digitalcommons.mtu.edu/math-fp/38