%0 Journal Article %T One-relator Kaehler groups %A Indranil Biswas %A Mahan Mj %J Mathematics %D 2012 %I arXiv %R 10.2140/gt.2012.16.2171 %X We prove that a one-relator group $G$ is K\"ahler if and only if either $G$ is finite cyclic or $G$ is isomorphic to the fundamental group of a compact orbifold Riemann surface of genus $g > 0$ with at most one cone point of order $n$: $$< a_1\, b_1\, \,...\, a_g\, b_g\, \mid\, (\prod_{i=1}^g [a_i\, b_i])^n>\, .$$ %U http://arxiv.org/abs/1201.5772v2