Projective Varieties with Bad Semi - stable Reduction at 3 Only To
نویسندگان
چکیده
Suppose F = W (k)[1/p] where W (k) is the ring of Witt vectors with coefficients in algebraically closed field k of characteristic p 6= 2. We construct integral theory of p-adic semi-stable representations of the absolute Galois group of F with Hodge-Tate weights from [0, p). This modification of Breuil’s theory results in the following application in the spirit of the Shafarevich Conjecture. If Y is a projective algebraic variety over Q with good reduction modulo all primes l 6= 3 and semi-stable reduction modulo 3 then for the Hodge numbers of YC = Y ⊗Q C, one has h(YC) = h(YC). 2010 Mathematics Subject Classification: 11S20, 11G35, 14K15
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