The Section Conjecture for Graphs and Conical Curves

Yonatan Harpaz (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

In this paper we formulate and prove a combinatorial version of the section conjecture for finite groups acting on finite graphs. We apply this result to the study of rational points and show that finite descent is the only obstruction to the Hasse principle for mildly singular curves whose components are all geometrically rational.

Domaines: Géométrie algébrique [math.AG]; Topologie algébrique [math.AT]

Yonatan Harpaz. The Section Conjecture for Graphs and Conical Curves. 2019. ⟨hal-02409235⟩