3 papers
math.NT2026
A combinatorial proof of the quadratic Gauss sum
Adan Medrano Martin del Campo
We provide an elementary approach to computing the quadratic Gauss sum, emphasizing the method employed to compute the sum corresponding to multiples of 4. The proof method employe…
math.AG2021
Monodromy of the families of del Pezzo and surfaces branching over smooth quartic curves
Adán Medrano Martín del Campo
Two families of surfaces arise from considering cyclic branched covers of over smooth quartic curves. These consist of degree 2 del Pezzo surfaces with a $\mathbb{…
math.AG2019
Monodromy of the family of cubic surfaces branching over smooth cubic curves
Adán Medrano Martín del Campo
Consider the family of smooth cubic surfaces which can be realized as threefold-branched covers of , with branch locus equal to a smooth cubic curve. This family is…