Decompositions of Betti diagrams of powers of monomial ideals: A stability conjecture

Alexander Engström*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

2 Citations (Scopus)

Abstract

For any fixed monomial ideals the resolution of high enough powers are predictable. To actually gain explicit information about the stable behavior of projective resolutions of high powers is rather non-trivial if the ideals aren’t particularly well behaved. We describe how the asymptotic decomposition of Betti tables of high powers can be conjecturally described using polytopes as a new invariant for the stable regime.

Original languageEnglish
Title of host publicationCombinatorial Methods in Topology and Algebra
EditorsBruno Benedetti, Emanuele Delucchi, Luca Moci
PublisherSpringer International Publishing Switzerland
Pages37-40
Number of pages4
ISBN (Electronic)978-3-319-20155-9
ISBN (Print)978-3-319-20154-2
DOIs
Publication statusPublished - 2015
MoE publication typeA3 Part of a book or another research book

Publication series

NameSpringer INdAM Series
Volume12
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

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