Conjecture on the classification of varieties with full ramification locus
Let XXX be a smooth complex variety of dimension n≥2n\ge 2n≥2. Let LLL be an ample line bundle on XXX, spanned by a subspace V⊆H0(L)V\subseteq H^0(L)V⊆H0(L) with dim(∣V∣)≥n+1\dim(|V|)\ge n+1dim(∣V∣)≥n+1. Let…