Patching over Berkovich Curves and Quadratic Forms

28 Oct 2019 Mehmeti Vlerë

We extend field patching to the setting of Berkovich analytic geometry and use it to prove a local-global principle over function fields of analytic curves. We apply this result to quadratic forms, and combine it with sufficient conditions for local isotropy over a Berkovich curve to obtain applications on the u-invariant... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • NUMBER THEORY
  • ALGEBRAIC GEOMETRY
  • RINGS AND ALGEBRAS