Session S09 - Number Theory in the Americas

Thursday, July 22, 17:30 ~ 18:00 UTC-3

Ramification in tamely ramified Galois towers of function fields

Ricardo Toledano

U. N. Litoral, Santa Fe, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study the set of all ramified places in a finite Galois extension E/F of function fields. We give an upper bound for the size of this set in terms of the index of the conorm of Div(F), the divisor group of F, in the subgroup of Div(E) defined for the fixed divisors of E under the action of the Galois group of E/F. We use this bound to give necessary and sufficient conditions to have finite ramification locus in a tamely ramified Galois tower of function fields over a finite field.

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