19 citations · 28 across the 5 of their papers we have counts for
5 papers
Kurt Hensel on Common Inessential Discriminant Divisors, 1894
Fernando Q. Gouvêa, Jonathan Webster
The problem of the "common inessential discriminant divisors" attracted the attention of Dedekind, Kronecker, and Hensel in the early days of algebraic number theory. Four sources…
Dedekind on Higher Congruences and Index Divisors, 1871 and 1878
Fernando Q. Gouvêa, Jonathan Webster
Dedekind's theorem connecting ideal theory and polynomial congruences appears in all textbooks on algebraic number theory, but few books note its connection to the problem of ``com…
Quadratic twists of rigid Calabi-Yau threefolds over $\QQ$
Fernando Q. Gouvêa, Ian Kiming, Noriko Yui
We consider rigid Calabi--Yau threefolds defined over $\QQ$ and the question of whether they admit quadratic twists. We give a precise geometric definition of the notion of a quadr…
Rigid Calabi-Yau Threefolds over Q Are Modular
Fernando Q. Gouvea, Noriko Yui
The proof of Serre's conjecture on Galois representations over finite fields allows us to show, using a method due to Serre himself, that all rigid Calabi-Yau threefolds defined ov…
Where the Slopes Are
Fernando Q. Gouvea
Fix a prime number p and choose, once and for all, an embedding of the algebraic closure of Q into Qp. Let k and N be integers, and suppose N is not divisible by p. If f is a modul…