About how large are algebraic Betti numbers?

2025/06/09 by Daniel Erman, Erman, Daniel
Mathematics · #13D02 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Analytic Number Theory Research #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2506.08133

openalex publication_date 2025/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use Boij-Söderberg theory to provide some order of magnitude bounds on algebraic Betti numbers.

Citations

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Related

• Computing the First Betti Numberand Describing the Connected Components of Semi-algebraic Sets
• Lower bounds on Betti numbers
• Upper bounds for graded betti numbers of projective schemes in the first nontrivial strand
• Betti number bounds for varieties and exponential sums
• Multi-degree bounds on the Betti numbers of real varieties and\n semi-algebraic sets and applications