Betti tables of reducible algebraic curves

David J. Bruce, Pin Hung Kao, Evan D. Nash, Ben Perez, Peter Vermeire

Research output: Contribution to journalArticlepeer-review

Abstract

We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti table for line arrangements that satisfy certain hypotheses. We also give explicit formulas for the entries of the Betti tables for all curves of genus zero and one. Last, we give formulas for the graded Betti numbers for a class of curves of higher genus.

Original languageEnglish
Pages (from-to)4039-4051
Number of pages13
JournalProceedings of the American Mathematical Society
Volume142
Issue number12
DOIs
StatePublished - 2014

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