The 2‐Selmer group of a number field and heuristics for narrow class groups and signature ranks of units
The 2‐Selmer group of a number field and heuristics for narrow class groups and signature ranks of units
We investigate in detail a homomorphism which we call the 2-Selmer signature map from the 2-Selmer group of a number field K to a nondegenerate symmetric space, in particular proving the image is a maximal totally isotropic subspace. Applications include precise predictions on the density of fields K with given …