Covariant generalization of Noether's theorems for fields with spin $1/2$

Spinor and spin-tensor total variations are defined for spinor fields in Riemannian spacetime and make it possible to formulate the corresponding Noether theorems in eovariant form. The invarianee of spinor field equations with respect to the transformations of the symmetry group of Riemannian space-time is proved in eovariant form, and corresponding differential conservation laws are derived.