local fundamental group of elliptic singularities - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T03:21:54Z http://mathoverflow.net/feeds/question/111278 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111278/local-fundamental-group-of-elliptic-singularities local fundamental group of elliptic singularities Benoît 2012-11-02T14:26:54Z 2012-11-02T14:26:54Z <p>Is the local fundamental group of an elliptic singularity virtually solvable ? Here (the terminology is sometimes divergent) an elliptic singularity is a (germ of) normal surface $(X,x)$ such that $X$ is Gorenstein ($K_X$ is Cartier) and $R^1\pi_* \mathcal{O}_Y=\mathbb{C}_x$ where $\pi:Y\to X$ is a resolution of the singularity.</p> <p>Equivalently: $\pi_*\omega_Y=m_x\omega_X$.</p> <p>Thanks in advance, Benoit</p>