Semi-stable Conjecture for vertical log-smooth families, by Wieslawa Niziol

We show that, for odd primes, the Semi-stable Conjecture of Jannsen and Fontaine (proved before by Tsuji and Faltings) is true for projective vertical fine and saturated log-smooth families with reduction of Cartier type. We derive it from Thomason's comparison theorem between algebraic and etale K-theories.


Wieslawa Niziol <niziol@math.utah.edu>