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Séminaire de Théorie des Nombres

A semi-stable case of a generalization of the Shafarevich Conjecture

Victor Abrashkin

( Durham Univ. )

Salle de Conférences

le 14 mai 2010 à 14:00

Breuil's integral theory of semi-stable p-adic representations is slightly extended to prove that if X is projective variety over rational numbers with semi-stable reduction modulo 3 and good reduction modulo other prime numbers then h^{2,0}(X_C)=0.