naa a22 4500 510782566 CHVBK 20180411083252.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1007/s11856-012-0123-z doi (NATIONALLICENCE)springer-10.1007/s11856-012-0123-z Palka Karol Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland aut Classification of singular ℚ-homology planes. I. Structure and singularities [Elektronische Daten] [Karol Palka] A ℚ-homology plane is a normal complex algebraic surface having trivial rational homology. We obtain a structure theorem for ℚ-homology planes with smooth locus of non-general type. We show, in particular, that if a ℚ-homology plane contains a non-quotient singularity, then it is a quotient of an affine cone over a projective curve by an action of a finite group respecting the set of lines through the vertex. In particular, it is contractible, has negative Kodaira dimension and only one singular point. We describe minimal normal completions of such planes. Hebrew University Magnes Press, 2013 Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/1(2013-06-01), 37-69 0021-2172 195:1<37 2013 195 11856 https://doi.org/10.1007/s11856-012-0123-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0123-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Palka Karol Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 195/1(2013-06-01), 37-69 0021-2172 195:1<37 2013 195 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer