A Harnack estimate for real normal surface singularities (Q1093048)

According to Harnack's theorem the number of topological components of the real part of a nonsingular projective curve X defined over \({\mathbb{R}}\) is at most \(g(X)+1,\) where g(X) is the genus of X. The purpose of the present paper is to present two estimates which can be considered on the analogy of Harnack's theorem for normal surface singularities defined over \({\mathbb{R}}\).