0
votes
1answer
90 views
Minimum number of edges - directed graph with given sums of weights
Let's consider a directed graph with positive edge weights. For every vertex we determine the difference
D = (summary weight of edges directed FROM this vertex)-(summary weight o …
2
votes
2answers
122 views
Relating the toric rank of a semistable curve and the first Betti number of its reduction graph
Introduction
Let $k$ be a local field. Let $C$ be the spectrum of $\mathcal{O}_{k}$. Let $X/k$ be a smooth projective curve with a semistable model $\mathcal{X}/C$.
Let $J$ be th …
