11 research outputs found

    Classification of singular Q-homology planes. I. Structure and singularities

    Full text link
    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 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.Comment: improved results from Ph.D. thesis (University of Warsaw, 2009), 25 pages, to appear in Israel J. Mat

    The Agnihotri--Woodward--Belkale polytope and Klyachko cones

    No full text
    Original Russian Text © S. Yu. Orevkov, Yu. P. Orevkov, 2010, published in Matematicheskie Zametki, 2010, Vol. 87, No. 1, pp. 101-107International audienc

    On biconjunctive reduction classes

    No full text
    corecore