Virtual Resolutions of Monomial Ideals on Toric Varieties

2019/06/03 by Yang, Jay · 1 citation
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.00508

Abstract

We use cellular resolutions of monomial ideals to prove an analog of Hilbert's syzygy theorem for virtual resolutions of monomial ideals on smooth toric varieties.

Cited by

• Asymptotic Syzygies of Weighted Projective Spaces

Related

• Cellular Resolutions of Monomial Modules
• Minimal free resolutions of monomial ideals and of toric rings are supported on posets
• Cellular free resolutions for normalizations of toric ideals
• Cellular resolutions of monomial ideals and their Artinian reductions
• Monomial ideals with minimal generalized Barile-Macchia resolutions