Canonical Lifts of Cycle Classes of Sections

Abstract

We present the construction of canonical lifts of $\ell$-adic cycle classes of sections of $p$-adic projective anabelian curves to the cohomology of arbitrary proper, regular, flat models. This answers a question of Esnault and Wittenberg.

Final version (to appear in J. Eur. Math. Soc.)

References in corpus (2)

• Anabelian geometry with etale homotopy types
• Sections, Homotopy Rational Points and Reductions of Curves