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math.AG2013
On the gonality of certain quotient varieties
Jonah Leshin
Noether's problem asks whether, for a given field K and finite group G, the fixed field L := K(x_h : h \in G)^G is a purely transcendental extension of K, where G acts on the x_h b…
math.NT2013
On S3-extensions with infinite class field tower
Jonah Leshin
We construct a class of -extensions of $\Q$ with infinite 3-class field tower in which only three primes ramify. As an application, we obtain an -extension of $\Q$ with i…