Dino Lorenzini

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math.NT2023

The critical polynomial of a graph

Dino Lorenzini

Let $G$ be a connected graph on $n$ vertices with adjacency matrix $A_{G}$ . Associated to $G$ is a polynomial $d_{G} (x_{1}, \dots, x_{n})$ of degree $n$ in $n$ variables, obtained as the de…

math.NT1999

Reduction of points in the group of components

Dino J. Lorenzini

Let $K$ be a complete discrete valuation field with ring of integers $\co_K$. Let $X / K$ be a proper smooth curve and let $A / K$ denote its jacobian. Let $P$ and $Q$ belong to $X (K)$ …