3 papers
math.AC2026
Subdividing simplicial virtual resolutions with homology
Eric Nathan Stucky, Jay Yang
While sporadic examples of virtual resolutions with homology have been constructed, their occurrence is not well understood or controlled. Our results build a new set of tools for…
math.AC2025
Cellular free resolutions for normalizations of toric ideals
Christine Berkesch, Lauren Cranton Heller, Gregory G. Smith +1
For any toric ideal in a polynomial ring , we provide a combinatorial description of a free resolution of the integral closure of the -module . These new complexes a…
math.AC2024
Conditions for Virtually Cohen--Macaulay Simplicial Complexes
Jay Yang, Adam Van Tuyl
A simplicial complex is a virtually Cohen-Macaulay simplicial complex if its associated Stanley-Reisner ring has a virtual resolution, as defined by Berkesch, Erman, and S…