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Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces

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Minimal algebraic norm in the codifferent of a number field

Let $k$ be a number field of absolute degree $d$. I consider the absolute codifferent $\mathfrak{d}^{-1}$, which is the dual of the maximal order of $k$ for the form induced by the trace map. I am int …
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