Boij-Söderberg theory: Introduction and survey

By Gunnar Fløystad. 2011

57 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/180f002dd4da5a83919c055812f829770338fdec

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In Algebra and Number Theory

1. Thomas Kahle
2. Ezra Miller
3. Julianna Tymoczko

In Computational Theory and Mathematics

1. Thomas Kahle
2. Ezra Miller
3. Bernd Sturmfels
4. Huy Tài Hà
5. Arindam Banerjee
6. Adam Van Tuyl

In Geometry and Topology

1. Thomas Kahle
2. Ezra Miller
3. David Anderson
4. Allen Knutson
5. Julianna Tymoczko

Citations in the corpus

• Decompositions of commutative monoid congruences and binomial ideals (2011, background): “As soon as there is some control over Betti tables, Boij–Söderberg theory [Fløystad 2012] enters the picture.”