A stronger form of the adjunction inequality is proved for immersed real surfaces in non simply-connected Stein surfaces. The result is applied to the geometry of Stein domains and analytic continuation on complex surfaces.
NEMIROVSKI, STEFAN (2003) "Adjunction inequality and coverings of Stein surfaces," Turkish Journal of Mathematics: Vol. 27: No. 1, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol27/iss1/8