About how large are algebraic Betti numbers?

TL;DR

This paper employs Boij-S"oderberg theory to establish bounds on the size of algebraic Betti numbers, offering insights into their possible magnitudes.

Contribution

It introduces a novel application of Boij-S"oderberg theory to derive bounds on algebraic Betti numbers, advancing understanding of their scale.

Findings

Provided order of magnitude bounds on algebraic Betti numbers

Applied Boij-S"oderberg theory in a new context

Enhanced theoretical understanding of Betti number growth

Abstract

We use Boij-S\"oderberg theory to provide some order of magnitude bounds on algebraic Betti numbers.