4 papers · 1 filter
Topology, geometry, and equations of normal surface singularities
Jonathan Wahl
This expository talk is an expanded version of a lecture at G.-M. Greuel's 60th Birthday Conference in Kaiserslautern in October, 2004. We survey recent work of Neumann-Wahl and ot…
Universal abelian covers of surface singularities
Walter D. Neumann, Jonathan Wahl
We discuss the evidence for and implications of a conjecture that the universal abelian cover of a Q-Gorenstein surface singularity with finite local homology (i.e., the singularit…
Hyperplane sections of Calabi-Yau varieties
Jonathan Wahl
Theorem: If W is a smooth complex projective variety with h^1 (O-script_W) = 0, then a sufficiently ample smooth divisor X on W cannot be a hyperplane section of a Calabi-Yau varie…
Universal abelian covers of quotient-cusps
Walter D. Neumann, Jonathan Wahl
The quotient-cusp singularities are isolated complex surface singularities that are double-covered by cusp singularities. We show that the universal abelian cover of such a singula…