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math.AG2017
Tropical superelliptic curves
Madeline Brandt, Paul Alexander Helminck
We present an algorithm for computing the Berkovich skeleton of a superelliptic curve over a valued field. After defining superelliptic weighted metric graphs, we show t…
math.AG2017★ 2 cited
The degree of
Madeline Brandt, DJ Bruce, Taylor Brysiewicz +2
We provide a closed formula for the degree of over an algebraically closed field of characteristic zero. In addition, we describe symbolic and numerical techniques w…
math.AG2017
From Curves to Tropical Jacobians and Back
Barbara Bolognese, Madeline Brandt, Lynn Chua
Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizi…