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math.NT2018
Explicit genus formula for any separable cubic global function field
Sophie Marques, Jacob Ward
In the present work, we determine explicitly the genus of any separable cubic extension of any global function field given the minimal polynomial of the extension. We give algorith…
math.AC2018
When are permutation invariants Cohen-Macaulay over all fields?
Ben Blum-Smith, Sophie Marques
We prove that the polynomial invariants of a permutation group are Cohen-Macaulay for any choice of coefficient field if and only if the group is generated by transpositions, doubl…