A Semi-stable Case of the Shafarevich Conjecture

نویسنده

  • VICTOR ABRASHKIN
چکیده

Suppose K = 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 discuss an explicit construction of p-adic semi-stable representations of the absolute Galois group of K with Hodge-Tate weights from [0, p). This theory is applied to projective algebraic varieties over Q with good reduction outside 3 and semi-stable reduction modulo 3.

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تاریخ انتشار 2014