Groups of components of Néron models of Jacobians and Brauer groups

Abstract

Let $X$ be a proper, smooth, and geometrically connected curve over a non-archimedean local field $K$. In this paper, we relate the component group of the Néron model of the Jacobian of $X$ to the Brauer group of $X$.

10 pages; Revised

References in corpus (3)

• Rational points of the group of components of a Neron model
• Brauer groups and Tate-Shafarevich groups
• Tamagawa Torsors of an Abelian Variety