Abstract
We solve the BCS-Gor'kov equations for a pure, isotropic type-II superconductor near the upper critical field. Corrections to the semiclassical results lower the value of the upper critical field and cause ${H}_{c2}(T)$ to vanish quadratically near ${T}_{c}$. This form leads to positive curvature in the critical field, which has been seen in a range of materials, and means that a type-II superconductor will convert to type I at a temperature close to ${T}_{c}$.
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