Manoel Jarra

collaborators

3 papers

math.CO2024

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $F_{1}$ -points

Manoel Jarra, Oliver Lorscheid, Eduardo Vital

In this paper, we introduce morphisms for matroids with coefficients (in the sense of Baker and Bowler) and quiver matroids. We investigate their basic properties, such as functori…

math.NT2023

On Smirnov's approach to the ABC conjecture

Manoel Jarra

We use algebraic geometry over pointed monoids to give an intrinsic interpretation for the compactification of the spectrum of the ring of integers of a number field $K$ , for the p…

math.AG2023

Strong congruence spaces and dimension in $F_{1}$ -geometry

Manoel Jarra

We introduce strong congruence spaces, which are topological spaces that provide a useful concept of dimension for monoid schemes. We study their properties and show that, given a…

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and F1​-points

On Smirnov's approach to the ABC conjecture

Strong congruence spaces and dimension in F1​-geometry

Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $F_{1}$ -points

Strong congruence spaces and dimension in $F_{1}$ -geometry