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math.NT2011
Conductors of wild extensions of local fields, especially in mixed characteristic (0,2)
Andrew Obus
If K_0 is the fraction field of the Witt vectors over an algebraically closed field k of characteristic p, we calculate upper bounds on the conductor of higher ramification for (th…
math.NT2011
On Colmez's product formula for periods of CM-abelian varieties
Andrew Obus
Colmez conjectured a product formula for periods of abelian varieties with complex multiplication by a field K, analogous to the standard product formula in algebraic number theory…
math.NT2008★ 21 cited
Wild cyclic-by-tame extensions
Andrew Obus, Rachel Pries
Suppose G is a semi-direct product of the form Z/p^n \rtimes Z/m where p is prime and m is relatively prime to p. Suppose K is a local field of characteristic p > 0. The main resul…