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The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9961-383X
2011 (English)In: Combinatorial Aspects Of Commutative Algebra And Algebraic Geometry: The Abel Symposium 2009 / [ed] Floystad, G; Johnsen, T; Knutsen, AL, Springer Berlin/Heidelberg, 2011, Vol. 6, 1-16 p.Conference paper (Refereed)
Abstract [en]

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 N-2 contained in the region px + qy < (p - 1)(q - 1). We also consider some examples concerning artinian modules of codimension three.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2011. Vol. 6, 1-16 p.
, Abel Symposia, 6
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URN: urn:nbn:se:kth:diva-100984DOI: 10.1007/978-3-642-19492-4_1ISI: 000303079200001ScopusID: 2-s2.0-84861343940ISBN: 978-3-642-19491-7OAI: diva2:546103
Abel Symposium on Combinatorial Aspects of Commutative Algebra and Algebraic Geometry, Voss, Norway, June 01-04, 2009
QC 20120822Available from: 2012-08-22 Created: 2012-08-22 Last updated: 2012-08-22Bibliographically approved

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Boij, Mats
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