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arXiv · 1210.3064

Betti Tables of Reducible Algebraic Curves

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

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David J. Bruce, Pin-Hung Kao, Evan D. Nash, Ben Perez, Peter Vermeire. 2012-10-10. Betti Tables of Reducible Algebraic Curves. https://arxiv.org/abs/1210.3064

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