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Negative Values of Wahl's Second Chern Number for Normal Surface Singularities
We disprove Wahl's 1993 vanishing conjecture, open for more than thirty years, which asserts that $c_2^w(X)=0$ for every nonquotient normal surface singularity. Let $C$ be a smooth projective curve with a nontrivial involution having $r>0$ fixed points, and put $d=2g(C)-2$. If $d>r$, the union of th
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