TY - JOUR AB - We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory. AU - Henheik, Sven Joscha ID - 10623 IS - 1 JF - Mathematical Physics, Analysis and Geometry KW - geometry and topology KW - mathematical physics SN - 1385-0172 TI - The BCS critical temperature at high density VL - 25 ER -