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6 votes

About the contractability

Artin's contractibility criterion [1] implies that a necessary and sufficient condition to contract an irreducible curve $E$ on a surface $X$ is that $E^2 <0 $. In general, the contraction will ...
Francesco Polizzi's user avatar
2 votes

A property of canonical singularity

This essentially follows from Claim 2.3.1, p. 39 of J. Kollár, S. Kovács: Singularities of the Minimal Model Program, Cambridge Tracts in Mathematics 200 (2013). The Authors prove the result for $m=1$,...
Francesco Polizzi's user avatar

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