Betti Tables of Reducible Algebraic Curves
Algebraic Geometry
2015-07-17 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1210.3064,
title = {Betti Tables of Reducible Algebraic Curves},
author = {David J. Bruce and Pin-Hung Kao and Evan D. Nash and Ben Perez and Peter Vermeire},
journal= {arXiv preprint arXiv:1210.3064},
year = {2015}
}
Comments
12 pages