English

Boij-S\"oderberg theory: Introduction and survey

Commutative Algebra 2016-09-30 v2

Abstract

Boij-S\"oderberg theory describes the Betti diagrams of graded modules over the polynomial ring up to multiplication by a rational number. Analog Eisenbud-Schreyer theory also describes the cohomology tables of vector bundles on projective spaces up to rational multiple. We give an introduction and survey of these newly developed areas.

Keywords

Cite

@article{arxiv.1106.0381,
  title  = {Boij-S\"oderberg theory: Introduction and survey},
  author = {Gunnar Floystad},
  journal= {arXiv preprint arXiv:1106.0381},
  year   = {2016}
}

Comments

Minor corrections. 47 pages, to appear in Progress in Commutative Algebra: Ring Theory, Homology, and Decomposition, eds. C.Francisco et.al

R2 v1 2026-06-21T18:16:37.593Z