2 papers
math.AG2013
Monomial Valuations, Cusp Singularities, and Continued Fractions
Juliette Bruce, Molly Logue, Robert Walker
This paper explores the relationship between real valued monomial valuations on , the resolution of cusp singularities, and continued fractions. It is shown that up to equi…
math.AG2012
Betti Tables of Reducible Algebraic Curves
David J. Bruce, Pin-Hung Kao, Evan D. Nash +2
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 ta…