The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two

The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two

We describe the positive cone generated by bigraded Betti diagrams of artinian modules of codimension two, whose resolutions become pure of a given type when taking total degrees. If the differences, p and q, of these total degrees are relatively prime, the extremal rays are parametrized by order id...

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Bibliographische Detailangaben
Hauptverfasser: Boij, Mats, Fløystad, Gunnar
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algebraic geometry
Free Resolution
Hilbert Series
Monomial Ideal
Positive Cone
Total Degree
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Zusammenfassung:We describe the positive cone generated by bigraded Betti diagrams of artinian modules of codimension two, whose resolutions become pure of a given type when taking total degrees. If the differences, p and q, of these total degrees are relatively prime, the extremal rays are parametrized by order ideals in ℕ2 contained in the region px+qy
DOI:10.1007/978-3-642-19492-4_1