Conjectures and computations about Veronese syzygies

2017/11/09 by Bruce, Juliette, Erman, Daniel, Goldstein, Steve +1 · 1 citation
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.03513

Abstract

We formulate several conjectures which shed light on the structure of Veronese syzygies of projective spaces. Our conjectures are based on experimental data that we derived by developing a numerical linear algebra and distributed computation technique for computing and synthesizing new cases of Veronese embeddings for ℙ².

Cited by

• Multigraded Betti numbers of Veronese embeddings

Related

• Linear syzygies of projective space
• Syzygies of Veronese embeddings
• Asymptotic Syzygies of Weighted Projective Spaces
• Syzygies of Veronese Embeddings
• Some effects of Veronese map on syzygies of projective varieties