Caroline G. Melles

activity

19992025

collaborators

4 papers

math.CO2025

Harmonic Morphisms of Arithmetical Structures on Graphs

Kassie Archer, Caroline Melles

Let $ϕ : Γ_{2} \to Γ_{1}$ be a harmonic morphism of connected graphs. We show that an arithmetical structure on $Γ_{1}$ can be pulled back via $ϕ$ to an arithmetical structur…

math.CO2019

On p-ary Bent Functions and Strongly Regular Graphs

Caroline Grant Melles, David Joyner

Our main result is a generalized Dillon-type theorem, giving graph-theoretic conditions which guarantee that a $p$ -ary function in an even number of variables is bent, for $p$ a pr…

math.AG2010

Automorphism Groups on Tropical Curves: Some Cohomology Calculations

David Joyner, Amy Ksir, Caroline Grant Melles

Let $X$ be an abstract tropical curve and let $G$ be a finite subgroup of the automorphism group of $X$ . Let $D$ be a divisor on $X$ whose equivalence class is $G$ -invariant. We ad…

math.AG1999

Explicit Construction of Complete Kahler Metrics of Saper Type by Desingularization

Caroline Grant Melles, Pierre Milman

We construct complete Kahler metrics of Saper type on the nonsingular set of a subvariety X of a compact Kahler manifold using (a) a method for replacing a sequence of blow-ups alo…