numerically effective cotangent bundle; degree Galois descent; cohomological descent; hypercovering; simplicial space; Grothendieck's six operations; cotangent complex; first order deformation; algebraic stack; mixed Hodge theory; de Jong alteration; rigid cohomology; \(p\)-adic étale cohomology; \(p\)-adic Hodge theory; independence of \(\ell\) 