Data that varies within families (reviewed)

The following invariants of field extensions may not be the same for all $L/K$ in a $p$-adic family $I/K$. For each invariant we list the values that occur for extensions in the family.

• the Galois group $\operatorname{Gal}(L^{\rm gal}/K)$,
• the hidden Artin slopes $[\tilde{s}_{w+1},\dots,\tilde{s}_{w+u}]$ of $L/K$,
• the indices of inseparability $[i_0,i_1,\dots,i_w]$ of $L/K$,
• the associated inertia $[I_1,\dots,I_v]$ of $L/K$,
• the jump set $[j_0,j_1,\dots,j_w]$ of $L$.