Cohen-Macaulay Varieties , Geometric Complexes , and Combinatorics

  title={Cohen-Macaulay Varieties , Geometric Complexes , and Combinatorics},
  author={Melvin Hochster},
  • Melvin Hochster
  • Published 2015
We describe the original reasons for studying Stanley-Reisner rings, including Stanley’s idea for proving the upper bound conjecture, but also including their application to proving that certain unions of Cohen-Macaulay varieties are Cohen-Macaulay. There are connections with the Cohen-Macaulay property for determinantal ideals, for Grassmannians, and for… CONTINUE READING